{"text":"Question: What is the first derivative of q*v**2 + 6*q*w - v**2 - 58*v*w wrt q?\nAnswer: v**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1249537461 and 1338.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*t + 94 = 22. Let s(p) = 42*p**2 - 2*p - 43. Let n(r) = 43*r**2 - 2*r - 44. Let y(w) = t*n(w) + 7*s(w). What is the second derivative of y(g) wrt g?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38355 equal to 177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-108 + 86 - 88 - 83)*(4*a + 2*a - 3*a).\nAnswer: -579*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1.843983 - 138\nAnswer: -136.156017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.04?  (a) 73  (b) 1  (c) -7  (d) -5  (e) 0.2  (f) -5\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = 2*z + 26, 2*j - 3*z + 1479 - 1480 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 7170 (base 10) to base 8\nAnswer: 16002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 29, 4, 2, 401, 0, 6, -2 in decreasing order.\nAnswer: 401, 29, 6, 4, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 3, 2*d + 0 = 5*r - 9. Let p(f) = -f**2 - 4*f. Let h be p(-4). Let a(g) = g**2 + 3*g - 2. Let x be a(h). Is d < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 2 = 3*k, -79*q - 5*k - 25 = -75*q. Let x = 83 + -329\/4. Which is the nearest to 0.1?  (a) 4  (b) x  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6)\/340)\/((-4140)\/(-368)). Let q be 1 + 0 - 38687\/7650. Let b = v - q. What is the common denominator of b and -43\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*a - 2*d - 49 = 0, 3*d + 0 + 0 - 7 = 3*a - 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2139038, 2139039, 2139040, 2139041, 2139042, 2139043?\n\"Answer: i + 2139037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 + 1 + 5)*(-k + 3*k - 3*k) - 5*k + 0 + 0 + (0 - 3 + 5)*(4*k - 5*k - 4*k))*(2 + 0 + 0).\nAnswer: -34*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**12*b*b**(-12)*b)**(-27)*b**(1\/19)*b**(-2\/7)*b*b*b**(-4)*b\/(b\/(b\/(b**5\/b))) assuming b is positive.\nAnswer: b**(-7878\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 + 111001110000010110001?\nAnswer: 111001110000010101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.18 + -0.48. Let a = 12 + -7. Let j = 5.3 - a. What is the closest to 0.2 in j, 5, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4888*v + 480*v - 362593 = 91969 - 132482 for v.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 13 - 9. Suppose -2*k = -3*k + c. Is -2*(-3 - 1114\/k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -683 (base 14) to base 3.\nAnswer: -1202211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62860.\nAnswer: 2, 5, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 20781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 4 - -6 - (7 - 10)) + -12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6669.398 - -6684. What is b rounded to one decimal place?\nAnswer: 14.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3.392 - -3.392006938. What is h rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 - 16 - 7)*(3 + 2 - 3)*(3*f**2 + 1 - 1).\nAnswer: -186*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 55155 + 3?\nAnswer: 55161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*u + 112 = -4*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 138?  (a) -4  (b) 5  (c) 1  (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:27 AM and 4:23 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 865233*k = 865455*k + 10434 for k.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3859933607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.03 - -0.33. Let y be (-14)\/(-18) + 20\/90. What is the closest to y in 5, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 692608, 692617, 692642, 692689, 692764, 692873?\nAnswer: 693022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.2, -0.3, -1\/2, 163, -2, 0.01, 1\/231?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 2*c**2 + 89*c + 558. Let g be u(-37). Solve g*m + 1 + 14 = -3*v, 4*m + 8 = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:25 AM and 3:53 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*c - 2*p, -7*c - 6*p - 557 = -557 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*r = 61*r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2601226646 to the nearest integer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 47082250 and -5?\nAnswer: -235411250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 79387 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: Find the third derivative of -388587026*h**5 + 341029807*h**2.\nAnswer: -23315221560*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvivrryrrvrrvvirxv. Give prob of picking 1 i and 2 v.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -830*c**2 - 61*c**3 - c + 823*c**2 - c + 14*c**3 + 1 + 4*c**4 in the form y*c**2 + q*c + i*c**4 + t + u*c**3 and give u.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 53 - 53. Suppose p = 15*t - 32 - 28. Let y = -26 - -53\/2. Which is the closest to -1?  (a) t  (b) y  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65796*b**2 + 21872*b**2 + 21867*b**2 + 22059*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*y**3 + 3108*y**2 - 9296*y + 6192.\nAnswer: -4*(y - 774)*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10, 75, 192, 367, 606, 915, 1300, 1767?\nAnswer: 2322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.42 in -2, -685672\/7, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes after 8:07 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20, 141, 316, 551, 852, 1225, 1676, 2211?\nAnswer: 2836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 390110096 to the power of 1\/2, to the nearest integer?\nAnswer: 19751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/1407 and -16\/16989.\nAnswer: 1138263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the third derivative of -2*i**2 + 0 + 1\/12*i**4 + 0*i + 17\/6*i**3. Calculate the remainder when l(8) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -27, -33, -43, -57, -75?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4\/(-6))\/(4\/(-6)). Let j = -170872 + 170876. Solve -j*h + r = 21 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times -4740.047?\nAnswer: 1422.0141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 196340677?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 5*q - 594 = 37, -4*q - 20 = 0. What is the remainder when j is divided by 45?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -78 - 78 + 160 - 6*s. Let y be q(6). Calculate the remainder when (y\/(-24))\/(2\/177) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes after 5:41 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1c002c + -2?\nAnswer: -1c002e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**2 - 15*k - 1. Let a be i(14). Let h = a + 15. Solve 0 = -h*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - 2 - ((-15 - -6) + 17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10929612119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -37474\/9 - -4164. Let t(l) be the third derivative of l**6\/40 + l**4\/24 + l**2. Let i be t(-1). Which is the smallest value?  (a) i  (b) m  (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 17\/12328 or -1?\nAnswer: 17\/12328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the second derivative of -v**4\/4 + 9*v**3\/2 - 398*v**2 + 200*v. Differentiate g(b) wrt b.\nAnswer: -6*b + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 7*d**2 - 5*d + 39. Let p(s) = 20*s**2 - 14*s + 116. Determine -14*m(h) + 5*p(h).\nAnswer: 2*h**2 + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes before 6:35 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 234 = -4*p, -5*p - 61 = -4*p - a. Let g = -29 - p. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -31 - -179 - (4 + 1 + 25 + -25)?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 3 + 3)*((1 + 2 - 5)*(19 + 24 - 10) - 1 + 3 - 3)*((-3 + 1 + 0)*(-5*p + 3*p + p) + 0*p + 3*p - p + 4*p - p - 4*p)*(-2*p**2 + 4*p**2 - p**2).\nAnswer: 804*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16283982 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/(-44) - (-12)\/24.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**3 - 3*q**2 + q - 1. What is the remainder when -3 + 14\/2*1 is divided by s(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -2*v**2 - 17*v - 24. Let b be m(-6). Suppose 791 = -b*w + 7*w + 5*j, -5*w + 3851 = -j. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2747 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 27035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 297\/(-324) + 3\/4.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -27*(8 + 115\/(-15)). Sort 19, 3, b in decreasing order.\nAnswer: 19, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 241*h + 6. Suppose 0 = -4*w - 0*p + 4*p + 8, -5*w + 2*p = -19. What is the hundreds digit of o(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 127, 267, 423, 601, 807, 1047?\nAnswer: 1327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-20)\/((6 - 8)*(-2)\/(-6)). Suppose 0 = 9*p - q - 15. Solve -1 = -5*a - 4*b, p*b = a + 4*a - 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 3481, 13689, 30705, 54529?\n\"Answer: 3404*t**2 - 4*t + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 34350 and 510?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 4  (b) -1  (c) -17  (d) 6\/7  (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the third derivative of -475*s**9\/504 + 25*s**5\/2 + 10*s**2 - 9. Find the third derivative of u(h) wrt h.\nAnswer: -57000*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o + 39 = 4*b, -5*o + 916 - 883 = 2*b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 d when two letters picked without replacement from ugbuuuddbd.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y - 21. Let q be a(-14). Let g be q\/(-4) + 5*(-27)\/180. Solve 0 = -6*r + 4*r + g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -33203211 (base 4) to base 6.\nAnswer: -1210553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**3 - 8*g**2 - 2. Let t(f) = 3*f**3 - 25*f**2 - f - 6. Let r(z) = -7*h(z) + 2*t(z). List the prime factors of r(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 7*b**2 + 10*b. Let h be z(-2). Let g(u) = -5*u - 3*u**2 - 7*u + 2*u**2 + h*u. What is g(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 35*s + 39*s = 45952, 2*c - 13*s = 22946. Does 51 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 9*i - 37. Let y be d(13). Suppose 2*o + 376 = 9*s - 4*s, -2*o - y = -s. What is the remainder when s is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ynynn. Give prob of sequence ny.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5672240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.1406291 and 0.4.\nAnswer: 0.5406291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**2 - 8*o + 2. Let z be p(-8). Suppose z*q - 3*q + 22 = 0. What is the common denominator of -67\/8 and 4\/q - (-4893)\/(-594)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 26*w + 89. Let c be l(-3). Solve -2*i = c - 21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 4 = -3*v + 5*d, -4*v + 5*d = -7. Let b(t) be the third derivative of -1\/36*t**4 - 1\/180*t**6 - t**2 + 0*t**v + 0*t + 1\/45*t**5 + 0. Factor b(h).\nAnswer: -2*h*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 15338*h - 303. What is the hundreds digit of d(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**2 - c**2 + 2*c**2)*(-2*c**2 - 3*c**2 + 3*c**2) - 2*c**4 + 0 + 0 - 4*c**2 - 2*c**4 + 4*c**2 + (c**4 + 2*c**3 - 2*c**3)*(2 - 1 - 2).\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -612001 (base 9) to base 12.\nAnswer: -15580a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1033 + 1040 - 56*s + 1049 - 3122.\nAnswer: -56*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 217947 - 667863 = -12*o. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49141 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -r - g + 2, -g = -1. Let i(o) = o**3 + 7*o**2 + 7*o + 6. Let u be i(-6). Suppose 4*m - 9*m = u. Solve -c - r*c = m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**3 + 14*t**2 - t - 16. Let w be u(-14). Which is the third biggest value?  (a) 4  (b) w  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*k - 16*k = 18*k + 124980. Is k a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1324331 (base 5) in base 8?\nAnswer: -64331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 5 = 6*b. Calculate the remainder when 24 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 23877456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-129690)\/45*9\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -631*j + 522. What are the prime factors of t(-17)?\nAnswer: 7, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.038576187 to 3 decimal places.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.1 - 1. Let l = 34\/5 + -7. Which is the nearest to u?  (a) l  (b) -2\/9  (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2 - 0)\/((-4)\/2). Let m be (-1)\/2*-1 + 64. Let g = -66 + m. Which is the smallest value?  (a) g  (b) -0.3  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4705501*i**2*v - 1088635*i**2 wrt v.\nAnswer: 4705501*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(-1)*g)**(16\/5)*((g*g**(-2\/7))\/g*g)**(-48))**(-11) assuming g is positive.\nAnswer: g**(11968\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -20*s - 12*s - 15*s + 50*s. Let z(a) be the first derivative of -2 + 3\/2*a**2 + 0*a. Calculate z(k(b)).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 993408*j. Let i(u) = 3*u**2 - 1. Determine i(n(w)).\nAnswer: 2960578363392*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 3 = 3*a - 1, -5*t = -4*a + 10. Suppose -3*d - 105 = -c - 0*c, -2*d + 3*c - 77 = a. Let z be d\/(-9) + 2\/9. Sort z, -2, 5.\nAnswer: -2, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/4*(-2 + 0). Sort h, 4, 7, 5.\nAnswer: h, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 32242*y. Let r(j) = 2395*j**2. Calculate z(r(c)).\nAnswer: 77219590*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 66691009 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.1, 1.7, -5, 8671?\nAnswer: 8671","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((12\/(-7))\/3)\/(8\/(-56)). Find the second derivative of 69*u**3 - 2*u - 57*u - h*u**3 + 6*u wrt u.\nAnswer: 390*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**2 + 0*c**2 + c**2)*(23*c + 47*c**3 - 23*c) + (5*c - 6*c + 2*c)*(-2*c**4 + 0*c**4 + 0*c**4).\nAnswer: 92*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + 2 = 2*r, 0*r = -2*r + 4*q - 6 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 860176490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -71105*m**3 - 10715*m**2 - 8.\nAnswer: -426630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 63*k - 693. Determine q(12).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -36c - -64c8?\nAnswer: 615c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 take away 70805115?\nAnswer: -70805062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 20*j + 6. Let t(v) = 19*v + 5. Give 5*g(h) - 6*t(h).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g\/g**(2\/15)))**38*(((g*g**(3\/19))\/g)\/g)\/(g*g*g**(3\/34)*g))**20 assuming g is positive.\nAnswer: g**(22022\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 91\/36668 and -5\/712.\nAnswer: 73336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*p - 8812 + 14518. Which is smaller: 635 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 55290\nAnswer: 2\/27645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 27, 29, 17, -15, -73?\n\"Answer: -z**3 - z**2 + 12*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 190280641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 + 34 = -4*a. Let t(r) = -r**2 - 10*r + 4. Let q be t(a). Suppose q*k - 27 - 73 = 0. Calculate the lowest common multiple of 1 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 152\/(-16) + 1 + 6\/(-4). What is the remainder when 17 is divided by ((-72)\/d)\/(-3)*5\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t - 2. Let i(o) be the first derivative of -o**4\/4 - 14*o**3\/3 - o**2\/2 - 11*o - 24. Let g be i(-14). Suppose g - 18 = -3*l. What is k(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i = -4*n + 35, i = n - 2239 + 2229 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -114275*l**4 - 168*l**3 + 3*l**2 - 2053*l - 28580?\nAnswer: -1371300*l**2 - 1008*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/217833 and 155\/18942?\nAnswer: 435666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mcy when three letters picked without replacement from {m: 5, f: 1, j: 2, y: 1, c: 1}?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -158.7 + 140.7. Which is the third smallest value?  (a) -2\/17  (b) x  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 93836 - 9004 = -530*q + 105*q - 539*q for q.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 5*i**3 - 25*i**2 - 210*i + 236. Determine k(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes after 7:47 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the third derivative of -5*x**4\/24 - 59*x**3\/6 + 251*x**2. Let n(l) = -2*l - 20. Let w(j) = 8*n(j) - 3*t(j). What is w(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 255 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide (296 - 2)*(-10)\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -66, -698, -1874, -3594, -5858, -8666, -12018?\n\"Answer: -272*u**2 + 184*u + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -54266 divided by 6\nAnswer: -27133\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 2\/7  (b) -14  (c) 775234\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 59\/5 of a micrometer in nanometers?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 - 3)*(-1 - 1 - 1)*(-7 - 4 + 2)*(2*l - 3*l - l + (4 + 0 - 3)*(-3*l + 0*l + l)).\nAnswer: 108*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -3*y + 7. Let z = 29.5 - 29.079. Let g = 0.121 - z. What is the closest to 1\/3 in y, g, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28923 + 28921. Which is the third biggest value?  (a) v  (b) 373  (c) 4\/5  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 - 5. Suppose -2*r - 64 = -6*r. Let o be (-4)\/r*1\/2. Which is the third biggest value?  (a) q  (b) o  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 2 + 1 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -a*s**4 + 261*a*s**3 + 53*a*s**2 + 2*a*s - 2*a + 100*s + 37 wrt s?\nAnswer: -12*a*s**2 + 1566*a*s + 106*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = -p + 672 - 232, 184 = 2*b + 2*p. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-five halves of a week in hours?\nAnswer: 4620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 26\/39 - (-598)\/60. Let k = -11\/6 + n. Suppose -18*h**5 - 138\/5*h**4 - 2\/5*h - 2\/5 + k*h**2 - 4\/5*h**3 = 0. What is h?\nAnswer: -1, -1\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2527, 2538, 2571, 2638, 2751, 2922?\n\"Answer: 2*g**3 - g**2 + 2526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 878.2476 - 878. Let m = v + -0.0476. What is the closest to m in 2, 28, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 130 + -108. Let q = -22.4 + y. Which is the nearest to -2?  (a) 0.2  (b) 3  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000006801952486 to 7 dps.\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 85933 = -5*m + 41776, -2*i - 2 = 0. What is the thousands digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 537926 divided by -2\nAnswer: -268963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (0 + (4 - 6 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -4*y**3 - 2*y**2 - 5*y - 13. Let g(h) = 6*h**3 + 3*h**2 + 8*h + 20. What is 5*g(r) + 8*u(r)?\nAnswer: -2*r**3 - r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 66257 (base 9) to base 16.\nAnswer: abb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 6 - (-2 + 13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2235 (base 6) in base 7?\nAnswer: -1352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 31 + -27. Suppose 0 = -4*z - b + 13, 2*z + p*b - 9 = b. Solve -3*w + 0 = -z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2.78506 and -6.339638.\nAnswer: -9.124698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 974*s**3 - 562*s?\nAnswer: 5844*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1098?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times -65.912661?\nAnswer: 19.7737983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2645 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 - 1) + 4*-1. Let i(b) = b**2 + 3*b + 1. Is i(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -7 and 14.466376?\nAnswer: 21.466376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 4, -2\/13, 3, 2.7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rgkvkrmggg. What is prob of picking 2 v and 1 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 7687916 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (5\/25)\/((-4)\/(-260)). What is the greatest common divisor of d and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2003332021 - -11?\nAnswer: -2003332010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 56 = -5*d - 4*g, g = -5*d + 70. Suppose d*s - 9 = 21. Do s and -9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - 0. Let o(d) = d**2 - 4*d**3 + 0*d - d + 1 + z*d. Suppose 0 = -2*v + 2*q + 12, -q = 2*v - v + 4. Calculate o(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.02 - 0.02. Let d = -1.2 + 0.7. Let y = -1 - d. Which is the second biggest value?  (a) 2\/7  (b) m  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1387238 - 1387237 + 45*v + 8*v.\nAnswer: 53*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 = 12*p - 29 + 61 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/(q**(-5\/6)*q))\/(q*q**(-3)\/q))**(-41\/2))**(-38) assuming q is positive.\nAnswer: q**(17917\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the third derivative of -n**6\/60 - n**5\/15 + 4*n**2. Let f(h) = -h**2. Let q(p) = -f(p) + r(p). Find the third derivative of q(z) wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 - -1. Let u = a + -3.5. Let v = 38 - 36. Sort v, -1, u in decreasing order.\nAnswer: v, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 591 - 587.69. Let o = -3.9 + v. What is o rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 57728 and 18700.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18 and 1674?\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d - 1. Suppose 15*a - 28 = 8*a. Let z(o) = 3*o - 4. Let i(c) = a*x(c) - z(c). Let y(q) = -19*q. Calculate y(i(t)).\nAnswer: -19*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*k = -130 + 16 - 102. Which is the second biggest value?  (a) k  (b) -11  (c) 5  (d) -3  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/6, 2\/91303, -3, -3\/2, 1\/3.\nAnswer: -3, -3\/2, -1\/6, 2\/91303, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -g + 177, -23*g - 2*r - 152 = -24*g. What is the remainder when g is divided by 43?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**2 - x**2 + 0*x**2 + x**2 + 0*x**2 - 3*x**2 + (-2*x - x + 2*x)*(0*x + 2*x - x))*(-x - 2*x + 5*x).\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 90 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -218 + 214. Suppose 0 = 3*s + v - 3, v - 4 = -4*s - 0*v. Which is the closest to 0.05?  (a) s  (b) 1\/3  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 3, x: 8}. Give prob of sequence gxxg.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14404489?\nAnswer: 11, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1005 - 4535?\nAnswer: -5543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:04 AM and 9:42 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 101\/36 - 3337\/1188. Is -2\/9 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9666 by 179.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-29\/4)\/g**(-23))\/((g\/g**(2\/11))\/(g\/g**(-2\/11))) assuming g is positive.\nAnswer: g**(709\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47315?\nAnswer: 5, 9463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s*s**(2\/13)))\/(s\/(s\/((s*(s*s**(-8))\/s)\/s)))*s**(-1\/5)\/s**7*(s\/s**(1\/11)*s**3)**(1\/62) assuming s is positive.\nAnswer: s**(31439\/44330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 68974770.\nAnswer: 2, 3, 5, 2299159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*f - 10426 - 1684. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 558*b**3 + 11037*b**2 + 27571609 wrt b.\nAnswer: 1674*b**2 + 22074*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/15*a**4 + 0 + 0*a - 76\/5*a**3 + 448\/15*a**2.\nAnswer: 2*a**2*(a - 112)*(a - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*i**2 + 180*i**2 + 256*i**2.\nAnswer: 395*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38805 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 56399457?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + -1. Let x = -413468\/5 + 82694. Let u = -1.9 + 2. What is the nearest to i in x, u, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32318*r - 18895*r - 9678*r.\nAnswer: -60891*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 3*q - 2*l + 1, -4*q + 5*l = -8. Let v be (-3)\/q*2 - (-355)\/135. Let a = -565\/432 - v. Find the common denominator of a and 83\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-33))\/(47\/141)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - 12) + 3 - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 16, e: 2}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 210, 3, -2 in increasing order.\nAnswer: -2, 3, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0 - 9\/(-3)) + -3. Suppose b = -5*a + 1 - 51. Is -10 equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that r**4\/9 - 1846*r**3\/9 + 1819*r**2\/9 + 15982*r\/3 + 4920 = 0.\nAnswer: -4, -1, 6, 1845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -4*r + 40. Let l be b(12). Let v be 0*(l\/(-12) + -1). Find c, given that 2\/3*c**3 - 1\/3*c + 0 + v*c**4 - 1\/3*c**5 + 0*c**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -485 + -0.37479.\nAnswer: -485.37479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.1, -0.2, -27\/1757, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 + 3 + 2 - 2 - 2 + (-3 + 3 - 2)*(2 - 1 + 1) + 2 - 2 + 1)*(-99 - 13*h - 9*h**2 + 6*h**2 + 96 + h**3).\nAnswer: -3*h**3 + 9*h**2 + 39*h + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-88)\/(-14) - 2\/7. Let g(q) = 15*q**2 - 14*q**2 + 0*q + 2 - 5*q. Does 8 divide g(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the first derivative of 3 + 0*a**3 + 0*a - 3\/4*a**4 + 2*a**2. Find the second derivative of x(y) wrt y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.4 from 1301.\nAnswer: 1300.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*q - 910 = -72*q + 74*q for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o - 1. Let d(q) = -q + 1. What is -6*c(g) - 7*d(g)?\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 225.\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*i + 20 = -8*i. Find the second derivative of 11*v - 35*v**i - 8*v - 23*v - 11*v wrt v.\nAnswer: -420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -1 - 3*l**2 + 2*l + 0*l - l**2 + l**3. Suppose -5*k - 2*i + 55 = 20, -5*k - 5*i = -50. Suppose -3*w + k = -4. Calculate g(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 8*z + 1. Let y be (-7)\/(28\/8) + 8. Let l(u) be the third derivative of 0 + y*u**2 + 0*u**3 - 1\/24*u**4 + 0*u. Give b(g) + 6*l(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 30*d**2 + 2*d + 3. Let z be p(-1). Let g be (-1 - z)*-1 + 1*3. Calculate the smallest common multiple of 21 and 3*g\/25 + (-1)\/5.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 111*a**3 + 113*a - 141821 wrt a.\nAnswer: 333*a**2 + 113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7042, 14150, 21308, 28504, 35726, 42962?\nAnswer: 50200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d - 2*q - 18, 31 = 6*d - 2*d - 5*q. Suppose 0 = 5*i - d - 56. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -396*j - 6733. What is q(-17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 7*a**3 - 2*a**2 + 2*a - 2. Let l(n) = -155*n**3 + 45*n**2 - 45*n + 45. Let f be ((-18)\/16)\/9 - (-30)\/(-16). Determine f*l(o) - 45*v(o).\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8*w + 4*w + 21*w)*(4 + 32 - 14) to a*w + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -33 + 31. Let x(c) = -19*c**2 + 2*c - 13. Let s(a) = -37*a**2 + 5*a - 26. Let y(v) = q*s(v) + 5*x(v). What is the first derivative of y(k) wrt k?\nAnswer: -42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 15 = -y, 15 = 3*b + 2*y + y. Let c = b + 0. Solve 0 = 3*f - 8*f + c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 3*q**2 - 5*q + 3. Let w be b(2). Suppose -5*j = w*a - 10, -3*a + 9 = 4*j - 3. Find the second derivative of -27*k - 4 + j*k**5 + 11*k**5 + 4 wrt k.\nAnswer: 340*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**2 - 11*r - 14. Let u be a(-10). Let o(b) = -2*b**2 + b**3 - 5*b + b**2 + 4*b**2 - 6. Let q be o(u). Are -7 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**2 - 3*c + 5. Let g be d(-4). Sort 6, -5, g in ascending order.\nAnswer: -5, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1853*r**2 - 3746*r**2 + 1834*r**2.\nAnswer: -59*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 11*p**3 + 31*p**2 + 13*p - 9. Let j(l) = 5*l**3 + 15*l**2 + 6*l - 4. Let w(x) = 4*i(x) - 9*j(x). Is w(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(3\/4)*d**(1\/3)\/d*d)\/((d\/(d\/d**(4\/5))*d)\/(d\/(d\/d**(-1)))))**(2\/5) assuming d is positive.\nAnswer: d**(-103\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 722 is divided by 180\/70 + 534\/21.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/73  (b) -1\/7  (c) 38  (d) -2  (e) 43\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -52.17 - -44.17. Which is the smallest value?  (a) 1\/8  (b) 4  (c) 0.01  (d) -2\/9  (e) g\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 1867304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (396\/(-3))\/(22\/55). What are the prime factors of (-4 - -4 - i) + 1 - -1?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 39 and 4857463?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 809814?\nAnswer: 2, 3, 139, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 10 divided by 6\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22*x**4 - 3 + 0 + 5*x - 6*x + 23*x**4 to a*x + t*x**2 + r + v*x**3 + u*x**4 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/3, 0.4, 27\/4, 0.2 in decreasing order.\nAnswer: 27\/4, 0.4, 0.2, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -33*d + 371*d + 569*d - 2 + 85*d - 135*d in the form q*d + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 40558, 162272, 365116, 649096, 1014218, 1460488?\n\"Answer: v**3 + 40559*v**2 + 30*v - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77) + sqrt(77)*-2 + sqrt(77))*-2 + sqrt(77) - (sqrt(77) - 2*sqrt(77)*-2))\/(5*(sqrt(7) - sqrt(7)*1) - (2*sqrt(77))\/sqrt(11)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(-2)*h\/(h*(h**(-20)*h)\/h)*(h\/(h*(h\/h**(-1\/2))\/h))\/(h**(-25)\/h))**(11\/5) assuming h is positive.\nAnswer: h**(979\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-27)\/(-12) - 18\/(-24). Suppose -2*l = 5*u - 175, 2*u = -b*l - 42 + 101. Suppose -2*x**4 - 3*x**3 + 31*x**2 - 3*x**3 - u*x**2 - 2*x = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 56*x**2 - 15*x - 17. Let d be v(-1). Solve 54 = -5*u + d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = o - 199, -d = -3*o - 0*d + 617. Is o a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4470334.26 rounded to the nearest one hundred thousand?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**3 - 61. Let d be l(0). Let q = d + 36. Calculate the common denominator of -107\/12 and ((-445)\/q)\/(4\/(-10)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0.5, -64\/7, 1 in ascending order.\nAnswer: -64\/7, -2, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 23.2 - 3.2. Let u = -20.04 + t. Let m = 3 + -1. What is the third smallest value in -2\/7, u, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 - 0. Suppose 0 = -4*b + 20, 0 = -j*p + b + 2*b - 205. Let o = p - -60. Calculate the highest common divisor of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 61\/2 of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h - 11 = -3*f, 5*h - 125*f + 381*f - 121*f = 134*f - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 734029?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.5, 1, 0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-3*sqrt(14)*2)\/(sqrt(14)\/sqrt(2)*4).\nAnswer: 15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2909335 by -65.\nAnswer: -44759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-53550)\/(-840) + 15\/(-4). Let v be (-2)\/(-3 + -1 + 3). Put v, y, 1 in decreasing order.\nAnswer: y, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1802211992 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 1273*x - 15420 + 144. Suppose o - 8 = -3*o. Let c be 2\/(-4) + o\/4. Solve 3*j + j - x = c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -112 - 539 + 86 - 733 = -649*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.83 + -3.73. Let l = 505 + -525. Sort p, l, 0.3 in increasing order.\nAnswer: l, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 337 a factor of 483366851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 108378 to the power of 1\/2, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1227, -1241, -1271, -1323, -1403, -1517, -1671, -1871?\n\"Answer: -w**3 - 2*w**2 - w - 1223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12172 and 9071183?\nAnswer: 3043","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64 = -4*t + 5*a, 3*t - 64 = -t + 3*a. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.19896ms in nanoseconds?\nAnswer: 1198960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a - k - 7 + 325, -5*a + 1592 = 4*k. Does 32 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nj when two letters picked without replacement from {j: 4, q: 9, w: 1, n: 3, d: 1}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -2  (b) -3  (c) 0.23  (d) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -15*p. Let j(w) = -w. Let m(s) = s. Let l = -12 - -20. Let r(z) = l*j(z) + 5*m(z). Let b(x) = -x. Let a(y) = 2*b(y) - r(y). Give u(a(k)).\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*s + 4*s + 88 = 0. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-1)\/3)\/(10\/120). Let a = -2 - s. Suppose 2*i - 38 = 3*w, a*i - 4*w + 95 = 7*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f**2\/3 - 2150*f\/3 + 15444 = 0 for f.\nAnswer: 22, 1053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 898506 and 8.\nAnswer: 3594024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1091720 and -2997.\nAnswer: 1088723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 2\/10 - 246\/80*4 and 55\/39?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*m - 242*m + 558 = 0. Which is the closest to 2?  (a) 0.8  (b) m  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39519564 to the power of 1\/3, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 35374294427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -1791000 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-452)\/(-113))\/((-4)\/8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 - 4 - (13 - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -228943, -460066, -691189?\nAnswer: -922312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5226 divided by -3.\nAnswer: 1742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 0.26, -81, 0.3, 28?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1611423769566 from -0.1.\nAnswer: -1611423769566.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-3 + sqrt(18)\/sqrt(6) - sqrt(9)\/(sqrt(9)\/sqrt(3))))**2 + 2 + sqrt(108)*5 + 2*(sqrt(12)\/sqrt(4))**2.\nAnswer: 17 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 8\/28 + (-178)\/(-14). Let p(v) = -v**2 + 15*v - 26. Let j be p(n). Suppose -5*b + 88 + 312 = j. Calculate the remainder when b is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -306 * 1429265.\nAnswer: -437355090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 47 - -2073b62?\nAnswer: 2073ba9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 46 + 219*x + 75*x - 88.\nAnswer: 294*x - 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 13752993.6 to the nearest ten thousand.\nAnswer: 13750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5152\/6 + (-6)\/9. Suppose -t = -5*m + 882. Is m a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {f: 2, i: 1, m: 8, o: 7}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3260588 years in decades?\nAnswer: 0.03260588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1838 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does -1 = -13\/983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 977.7911um in millimeters?\nAnswer: 0.9777911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 251 + -248. Solve -55 = 29*n + h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (68\/(-17)*4\/28)\/(4\/(-56)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -365 + -816?\nAnswer: -b7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3401 - -4?\nAnswer: 3405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 255710 and 1925131?\nAnswer: 134759170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.08652 rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -8\/11253 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 18898449 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 7010.585 litres in millilitres?\nAnswer: 7010585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b = 3*b - 32*n + 23525 - 23685, -2 = -b - n for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 419\/33*(-12 - -9) - 5\/(-55)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-63)\/63)\/((18\/45)\/(-1*54\/(-5))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**2. Suppose x - 3*y - 71 = 2*y, 4*x = -y + 179. Let c be 99 - ((-2)\/4)\/((-3)\/(-12)). Let a(r) = x*r + 13*r**2 - c*r + 55*r. What is q(a(f))?\nAnswer: 169*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = q - 4*q - 513, -3*h + q + 521 = 0. Calculate the lowest common multiple of 102 and h.\nAnswer: 17850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t - 4. Let x be q(-4). Suppose h = -2*w + 1, -8 = -4*w + 4*h - x. Find the second derivative of 1 - o**2 + 2*o - w wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1653416 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.4 + -0.48. Let r = 0.01 + b. Let u = 4.07 + r. Put -4\/5, u, 0.1 in decreasing order.\nAnswer: u, 0.1, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2192*g - 732*g - 722*g - 731*g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**4 - 5*m**2 + 5*m + 5. Let s(w) = -2*w**2 + 2*w + 2. Let p(r) = 2*n(r) - 5*s(r). Factor p(z).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4527769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -168579*c = -168618*c + 195. Solve -c*s - 6 = 39 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-3747)\/(-9) - -2)\/((-2)\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 33*y**2 + 889*y - 8. Give u(-27).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 379 + -368. Solve 8*t + 9 = c*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1d5 (base 15) in base 16?\nAnswer: 1a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 2\/5, -3\/2, 1\/48?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1650, -12545, -41942, -99093, -193250, -333665, -529590?\nAnswer: -790277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 5*i = 30110, -2*n - 2*n = 3*i + 30094. Let z = -90229\/12 - n. What is the common denominator of 23\/30 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4*(-2)\/8)\/((3\/(-13))\/(-3))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -1, -536 in increasing order.\nAnswer: -536, -8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*c**2 - 7*c**2 + 2*c**2)*(2 - 2 - 1) + (1 + 2 - 4)*(-3*c - 2*c + c)*(-3*c + 2*c + 0*c) as x*c**2 + j*c + l and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1440) - (sqrt(1440) - (sqrt(1440) - (sqrt(1440) + (sqrt(1440) - -2*sqrt(1440)*2)))))\/(sqrt(4)\/((sqrt(18) - sqrt(18)*2)\/sqrt(9))).\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*b**4 - 75216*b**3 + 394323786*b**2 + 966902958672*b + 495754386210867.\nAnswer: 3*(b - 13489)**2*(b + 953)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002246 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a meter in millimeters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -26\/183 and -5\/24.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -558517 + -3.0962.\nAnswer: -558520.0962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -2 - (-5 + 8 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 162056 = -183*c + 230*c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4\/71  (b) -11  (c) 1\/5  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 g, and 1 h when three letters picked without replacement from sysphvgvyyph?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 5626.\nAnswer: 2\/2813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l = -23*l - 5160. Let i = -314 - l. Sort -3, 0, i.\nAnswer: -3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79*p - 374 = 776 + 35 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -37 - 91. What is the tens digit of 8\/(-36) - i\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -29576.78 and -9.3?\nAnswer: 275064.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 258*j**3 + 6*j**2 + 2*j + 294. Let o(b) = -b**3 - 2*b**2 + 1. Let k(g) = -f(g) - 3*o(g). Find the first derivative of k(w) wrt w.\nAnswer: -765*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*h + h - 1. Calculate the common denominator of (44\/3)\/h*-1 and 3\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1427b04 (base 14) to base 9\nAnswer: 20354271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 2*b = b, 4 = -2*o + 5*b. Let r = o + 0. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 26 - 26.00000348. Round i to 7 decimal places.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9608872*n**2 + 9*n - 48447492?\nAnswer: 19217744*n + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 117 = 5*o. Let v(w) = 3*w**3 + 14*w**2 - 5*w - 5. Is v(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -p**2 + 3 - 3 + p + 2*p**2 - p + (1 - 5 + 3)*(4*p**2 + 0*p**2 - 2*p**2) + 2*p**2 - 2*p**2 - p**2 to c + b*p**2 + f*p and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.254 and 2\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 - 3 = 2*g + 4*r, -3*g - r - 29 = 0. Let j = -112 - -78. Let q be 1 - (j\/g)\/((-20)\/(-6)). Sort -2\/7, q, -1\/3 in descending order.\nAnswer: q, -2\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(42)\/(sqrt(3) + sqrt(12)))\/sqrt(7).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 108802.1 times 0.4\nAnswer: 43520.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = t + 2*j, -8*t + 13*t = j + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**2 + 6*z + 4. Is l(19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the third derivative of -29\/24*p**4 + 76 + p**2 - 97\/6*p**3 + 0*p. Differentiate x(u) wrt u.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + (-21 - -12) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 9, g: 3, s: 4}. What is prob of sequence bgbs?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 t, and 1 u when three letters picked without replacement from usttututuuuusu.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -132 or 736?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**3 - 5*j**2 - 7*j - 7. Let s be k(-4). Let i(o) = 14*o - 4. Let t be i(4). Let q = 209\/4 - t. Which is the closest to 2?  (a) q  (b) 1\/3  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the second derivative of 0*d**2 + 1\/5*d**5 + 1\/15*d**6 + 0 - 54*d + 1\/6*d**4 + 0*d**3. Factor q(k).\nAnswer: 2*k**2*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 5 = 41. Suppose 0 = -4*u - 3 - p. Let g = 0.3 + -0.2. Which is smaller: u or g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*z + 36*z = -34*z - 93 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 4 = 4*i, -4 + 14 = 2*i. Let f be 4\/6 - ((-4)\/12 - -4). Put f, y, 3 in descending order.\nAnswer: y, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**3\/3 + 4634*u**2\/3.\nAnswer: 2*u**2*(u + 2317)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/((-72)\/(-2))*(-68)\/(-17)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 o and 1 h when four letters picked without replacement from uaoyhawooyhahwwh.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1  (b) -3  (c) 15643  (d) -2\/7  (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is two fifteenths of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95854 is divided by 458.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 37*x**3 - 444*x**2 - 5*x - 73. What is o(12)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, j: 3, v: 3}. What is prob of picking 2 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9610*d - 9695*d + 85. Which is bigger: d or 1\/6747?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14800082 and 2728?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11, -35, -67, -113, -179?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 302884, 302874, 302850, 302806, 302736, 302634?\nAnswer: 302494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*i = 18*i - 18. Let j(n) = -8*n**2 + n - 5. Let p(l) = -17*l**2 + 2*l - 11. Give i*p(d) + 13*j(d).\nAnswer: -2*d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(77))\/sqrt(7) + (sqrt(99) + 2*sqrt(99) + sqrt(99) + sqrt(99))\/sqrt(9) - (sqrt(66)\/(sqrt(54)\/(sqrt(9)*1)))**2.\nAnswer: -11 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 - 8 = 4*u - o, -5*u + 64*o + 14 + 1 + 0 = -46*o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 14158, 3.\nAnswer: -5, 3, 14158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the first derivative of -1256*k**3 + 459. Let g(l) = 2*l. What is g(r(h))?\nAnswer: -7536*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 161437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -7 at most as big as -168\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -2167 at least as big as 113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -16*a**2 - 15*a + 36. Let r be z(4). Let d = r + 280. Is d at least -7\/90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3995*k + 5 + 271*k**2 - 3506*k - 1 - k**4 - 4 wrt k?\nAnswer: -12*k**2 + 542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3\/5*r**4 - 3\/5*r**2 + 0 + 3\/5*r**3 - 3\/5*r = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57*y - 59*y + l - 9 = 0, -2*y + 3*l - 15 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f - 1. Let i(b) = -2*b**2 - 5*b + 3. Let a = -22 + 26. Let v(c) = a*j(c) + i(c). Determine v(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 202383972 divided by -7.\nAnswer: -28911996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1144413, 2288823, 3433233?\nAnswer: 4577643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 20828.03 millennia?\nAnswer: 249936360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2 + (-274)\/20 + 0 and 107\/22 + (-8)\/44.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 111979 = 3*x + 217402, 21 = 3*x. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3813 and 8558.\nAnswer: -32631654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 5 - 5 - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7 + 7. Suppose 2*z + 0*z - 1290 = o. Let k = z + -460. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 944443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 3634 = 3*t - 0*t, -t + 4552 = -5*d. Let u = 1563 + d. Suppose 6*b = 2*o + b - u, 5*o - 1555 = -3*b. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 72\/4*(5964\/882)\/(-71).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -59*r**3 - 2*r + 61*r**3 + r**4 + 2 + 0*r in the form g*r + v*r**2 + o*r**4 + x + s*r**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 - (3*-1 - -1). Let q be (-10)\/(-25) - 46*4\/(-40). Suppose q*x = -c*x + 300. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.3 + -0.6. Let p be 9\/2 + (-3)\/(-6). Which is the closest to 5?  (a) g  (b) p  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 387.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 17\/4 - 107\/28. What is the common denominator of a and 81\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 20044 + -1333120?\nAnswer: -1313021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.015498364 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 501.980175 rounded to the nearest 10?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.6?  (a) 249  (b) -1  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -907 or -65?\nAnswer: -907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 2*o**2 + 14*o - 45. Let r be j(-12). Suppose 5*g = -4*w + 161, -w + 3*g + r = w. Calculate the common denominator of 16\/5 and w\/4 + (2 - 6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44630 divided by 291.\nAnswer: 44630\/291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 3*t**2 - 4*t - 3. Let z = 1038 + -1037. Let k(s) be the third derivative of -s**5\/60 + s**3\/6 + s**2. Calculate z*c(l) + 4*k(l).\nAnswer: -l**2 - 4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 7\/2 of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000004488 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - m - 179 = 0. Let i = -119 - m. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes before 6:25 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 13 - 7 - 5 + 0. Let a(z) = -6*z**3 + 11. Let g(o) = a(o) - 5*s(o). Differentiate g(t) with respect to t.\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*u + 16 = -35*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -2350798 greater than or equal to -21157192\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 112, 159, 208, 259, 312, 367?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -653\/5 + 654\/5. Let h(d) be the second derivative of -i*d**3 + 9*d - 9\/10*d**2 + 0 + 1\/20*d**4. Factor h(r).\nAnswer: 3*(r - 3)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000198196 rounded to 7 dps?\nAnswer: 0.0000198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104*d - 40*d - 65*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 4*k + 19 = 0, 3*t + 4 - 25 = k. Solve 5*f + 20 = -u - t, f = -u - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -37941*g**2 - 59851*g wrt g.\nAnswer: -75882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -5 - 0. Let q = 22 - 16.8. Let g = -5.6 + q. Which is the second biggest value?  (a) g  (b) y  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 79 + -552\/7. Let k = -1.1 - -1. Let a = 137.4 + -137.3. What is the nearest to k in -4, a, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 143880\/((-77)\/(-7)) + -11. Which is smaller: 13068 or q?\nAnswer: 13068","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 151 and 61872?\nAnswer: 9342672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f + 8. Let n be g(-2). Let r(m) = -9*m**3 - 2*m**2 + 3*m - 3. Let z be r(-3). Suppose -5*p + 57 = -z. What is the greatest common factor of p and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 1. Let i(x) = 3*x + 10. Let q(z) = -i(z) + 5*y(z). Let m(u) = u**3 + 9*u**2 - 9*u + 3. Let c be m(-10). What are the prime factors of q(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10153325 (base 8) to base 11.\nAnswer: 123aa3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 61733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes after 4:01 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 24\/(-2)*(9 + 228\/(-18)). Calculate the highest common factor of 110 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, y: 4, k: 2, j: 2, b: 2, x: 1}. What is prob of picking 1 l and 1 k?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -820\/11 bigger than -34.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 166 a factor of 1812041392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of b**3*o - 152*b**3 - 44003*b**2*o - 3470*b*o + 2297*b + o wrt b?\nAnswer: 6*b*o - 912*b - 88006*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 20017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 4*y + 2 + (0 - 4 + 3)*(-2*y + 2*y - 5*y) + 4*y - 6*y + 0*y + (-241 + 241 + 14*y)*(0 + 2 - 1).\nAnswer: 21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((n**(1\/3)\/n)\/n)\/n)**33)**(3\/38) assuming n is positive.\nAnswer: n**(-132\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 8:36 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 43 = -9. What is the units digit of (1\/(-3))\/(u\/351)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*s + 5 = -27 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, o: 2, z: 6, u: 2}. What is prob of sequence ofz?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 79147578 is divided by 326.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4640 * 0.5.\nAnswer: -2320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cccs when four letters picked without replacement from ccccscccccc?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 82642?\nAnswer: 2, 7, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -318 + 1003. What is the greatest common divisor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 9 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 433232 is divided by 10302.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {w: 7, i: 1, n: 5, o: 1, r: 5, z: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -17*q + 2423. Calculate c(144).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2) - (5 + sqrt(2)*-2) - sqrt(22)\/sqrt(176).\nAnswer: -5 + 11*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 82191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.150257 rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w + 16. Let q(p) = 2*p - 74. Let j(r) = 3*r - 118. Let u(l) = -3*j(l) + 5*q(l). What is 3*a(c) + 4*u(c)?\nAnswer: c - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of 37\/2*h**2 - 1\/12*h**4 + 2\/3*h**3 + 0 + 22*h. Let o be d(-10). Which is greater: -104 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -112032331230 (base 4) in base 5?\nAnswer: -2443002320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**2 + 1. Let d(h) = 12*h**2 + 11. Let p = 12 + -16. Let k = p - -6. Let s be ((-4)\/k)\/(1\/1). What is s*d(b) + 22*y(b)?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**2 - 108*c - 2656. What is r(-37)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 166 + -100. Let h = 39 + -22. Calculate the remainder when c is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 7*i. Let t(a) be the second derivative of -a**6\/120 + a**4\/3 + a**2 + 5*a - 6. Let s(j) be the third derivative of t(j). Give s(g(k)).\nAnswer: -42*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -3*m, 5*m + 2 + 0 = -3*f. Let i be (f\/(-8))\/(6\/10). Let v = 5334 - 5333. What is the closest to v in 0, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*p - 4*p - p + (-24*p + 15*p - 5*p)*(2 + 2 - 5) + (-4*p + 4*p + p)*(1 - 5 + 2))*(-1 + 3 - 3)*(1 - 3 + 0).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -723 = 2*c - 719. Let r(j) = j**3 + 6*j**2 - 1. Let w be r(-6). Put c, w, -19 in decreasing order.\nAnswer: w, c, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**3 + 2*u**2 + 2*u + 120. Let x be i(0). Let c = -599\/5 + x. What is the closest to 0 in -3, c, 0.19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*4\/(-6))\/((-814)\/(-111)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*p**5 - 1094*p**4 - 1736*p**3 + 8936*p**2 - 1888*p = 0. Calculate p.\nAnswer: -59, -4, 0, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13312530?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 0*a - 2*a + 1193 - 1193. Let f(d) be the first derivative of -18*d**3 + d**2 + 176. Give f(p(i)).\nAnswer: -216*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**3 - 3*o**2 - 4*o. Let x be h(-2). Differentiate 31 - 25*j**3 - 48*j**x + 13*j**3 + 12*j**3 with respect to j.\nAnswer: -192*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 11692.456619 + -148.18.\nAnswer: 11544.276619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8760 + 8775. What is the remainder when b is divided by (-12 - -2)*(-12)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (2 + sqrt(200) + 1 + 3 + (sqrt(200) - -2*sqrt(200))*-3)**2.\nAnswer: -960*sqrt(2) + 12839","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 603754800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1104\/(-966)*(-7)\/(-2)*6\/8. Sort -12, 1.9, -0.1, n.\nAnswer: -12, n, -0.1, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-5) + 8\/5. Solve 0 = -2*i + o - 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -743 or -744?\nAnswer: -743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 269850 and 139500.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 7*w = -3*v + 8389, -5*v = -5*w - 13985. Suppose v = 39*s + 536. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gggggtgyg. What is prob of sequence yt?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and 173?\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 + 3. Let r = 774\/7 + -111. What is the closest to -4 in 0.4, r, 6, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**2 + 8*t - 4. Let q(m) = m**3 + 8*m**2 + 3*m + 5. Let o be q(-6). Let s = -24 + o. Calculate the remainder when s is divided by h(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5237, -10476, -15715, -20954, -26193?\nAnswer: -31432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 - 108 = -4*r. Is 21 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18520528 to the nearest integer?\nAnswer: 4304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-320)\/(-15) - (-2)\/4 and -22\/141.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7237 is divided by 404.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -7*f**2 + 9*f - 6. Let u(t) = -4*t**2 + 5*t - 3. Let i(q) = -6*a(q) + 11*u(q). What is i(4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -j + 44. Let c = 28 - j. Let l be 82\/6 - c\/15. Sort 2, l, 0 in ascending order.\nAnswer: 0, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 4*l**2 - 2*l - 3. Let v be a(-1). Suppose 4*h = -f + 2, -3*f + 0*h + v*h = -21. Does 8 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/(((-10)\/(-2))\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*j**2 + j**2 - 3*j**2 + (3*j**2 + 2*j**2 - 7*j**2)*(3 + 0 - 1) - 13*j**2 - 4*j**2 - 6*j**2 - 4*j**2 + 0*j**2 + j**2.\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13 - 5. What is the remainder when (-5)\/20 - (-250)\/8 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 195 - -94. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*s + 712 = -68*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 966*w + 7799 + 8623 = 0 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1979 is divided by 386?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -196, 7, 522, 4 in increasing order.\nAnswer: -196, 4, 7, 522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00008868912 rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 261.8344 days to hours.\nAnswer: 6284.0256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or -85617?\nAnswer: -85617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = -2*i + 51. Calculate the remainder when 24 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**2 + 388984*c + 18913569032.\nAnswer: 2*(c + 97246)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -880 - -874. Is 15\/37 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 938 + -929.62. Let w = p - 0.38. Let c = w + -8.1. What is the biggest value in c, -4, -0.6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((r\/(r*r**9))\/r**10)**(-27))**(-31\/3))**(-5\/3) assuming r is positive.\nAnswer: r**8835","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o - 5*o - 35 = 0. Suppose -2*i + 6*i + 5*s = 9, 2*i + 4*s = 0. Suppose v + i = o. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2680 divide 1152550080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 37 - 21. Calculate the remainder when 8*(1 - (-28)\/q) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**2 + 7*c + 5. Let f be x(-8). Suppose 3*s + 1 - f = 0. Calculate the remainder when 7 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 35.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 2*r**3 - 4*r - 4. Let b(j) be the second derivative of -j**3\/6 - j**2\/2 + j. Suppose 7*i - i + 13 = -7*i. Calculate i*v(m) + 4*b(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**2 + 4*r - 5. Let w = 16 + -17. Let h be (-8 - -5) + (w - 2). What is o(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -17*n + 98. Let r be g(9). Suppose 4*u + 10*k - 6*k = -16, -6 = -3*u + 3*k. Put r, u, -3 in ascending order.\nAnswer: r, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4876001 or -4876002?\nAnswer: -4876001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 (base 16) in base 2?\nAnswer: 1001010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 10\/(-2)*(0 + -1). Solve 12 = a*i + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 50 * -21.\nAnswer: -1050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 4 + 2 + (15 - 25 - 18)*(5 + 6 + 3))*(i + i - 6*i).\nAnswer: 1576*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2690 or -2667?\nAnswer: -2667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - -2) + -38 + 14 + -4?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/(-4 - (-21)\/5). Suppose 5*j - 451 = -p, -s*j = -0*j. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82 = 5*u - 28. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1\/4)\/(y*(y\/y**(1\/5)*y)\/y*y*y*y))**(-2) assuming y is positive.\nAnswer: y**(101\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-8)*i*i**(-2\/7))**(-27)*((((i**(-1\/4)\/i)\/i)\/i)\/i**(-1\/3))**(-2\/121) assuming i is positive.\nAnswer: i**(999947\/5082)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -2*t. Let l(m) be the first derivative of 112*m**2 - 2*m - 795. What is l(y(o))?\nAnswer: -448*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -493*m - 468 = 246*m + 8400 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/40 or 1?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 80, -23630.\nAnswer: -23630, -6, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 84 and 146611884?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -64, -235, -518, -913, -1420?\nAnswer: -2039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*k**3 - 4*k**4 - k - 5*k**3 + (4*k**3 - 3*k**3 + 0*k**3)*(-3*k + 7*k - 3*k).\nAnswer: -3*k**4 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pepbzbk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -4*l**2 - 14*l - 67. Let y be p(-9). Let a = y - -268. Calculate the remainder when 2*4 + (1 - 0) is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 72.30461 hours?\nAnswer: 4338.2766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14617, -58413, -131365, -233479, -364761?\nAnswer: -525217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -41.000034 - -41. Round c to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4001 by 3.\nAnswer: -4001\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 3*y = 15, -y = 2*q - 5 - 6. Let l(d) be the third derivative of d**4\/24 - 7*d**3\/6 - 2*d**2. Let j be l(q). Let n(t) = 7*t**2 - t. What is n(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60*g + 286*g - 477 = 879. Calculate the least common multiple of g and 1008.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 + 5. Suppose -4*v = -2*j + 5*j - 34, -j + 2*v = -f. Calculate the least common multiple of 1 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2092 divide 3607298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 70 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 8*u**3 + 128\/3*u - 64\/3*u**2 + 2\/3*u**5 + 8\/3*u**4.\nAnswer: 2*u*(u - 2)**2*(u + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(-18\/11))\/d)**(-5\/3) assuming d is positive.\nAnswer: d**(30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 479826200 rounded to the nearest one million?\nAnswer: 480000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-6)\/4)\/((-2)\/372). Let l be (10\/6)\/(-13*(-30)\/36270). What is the highest common factor of l and p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -207*k**4 + 624*k**3 - 423*k**2 + 6*k = 0. What is k?\nAnswer: 0, 1\/69, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -118 + 21*x + 118. Let w(k) = -11*k**2. Give z(w(n)).\nAnswer: -231*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-3 + 4)*13\/897*23\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 41973, 42047, 42121, 42195?\nAnswer: 42269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -911 + -15792.\nAnswer: -16703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 971 by 1.\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:40 AM and 8:30 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 101560418 to the nearest integer?\nAnswer: 10078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.13576986 rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 46, 2, -1, 40, 3 in increasing order.\nAnswer: -1, 2, 3, 40, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 725031832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes before 6:54 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 168\/(600\/(-25))*1\/3.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 24962461 - 3?\nAnswer: 2496245c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12264 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 151833518?\nAnswer: 2, 97, 233, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 20976 and 31464.\nAnswer: 62928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.04 + 1684056337.\nAnswer: 1684056336.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j + 6. Let o be y(-6). Suppose -3*r - 24 - 14 = -i, o = -i + 2*r + 35. Let u = i + -18. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20421 take away -1726734?\nAnswer: 1747155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2487538157 + 2487538130.00000031. Let q = -27 - f. Round q to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the second derivative of 13*r**4\/3 - r**3\/3 + 3*r**2 - 4*r - 11. Does 10 divide f(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 7*((356\/700 - 1) + 2\/(-25)). What is the nearest to -2\/9 in 0.5, -17, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 321247853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(24\/32)\/((-1)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + u = 6770, -15 = 2*u - 11. List the prime factors of i.\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 107623559534 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t\/(t**(-7)*t)*t*t**(-1\/3)*t)\/(t**1)**(-38) assuming t is positive.\nAnswer: t**(143\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is a7d (base 16) in base 9?\nAnswer: 3613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmmmmymymmmmm. What is prob of picking 1 m and 1 y?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2490 and 300?\nAnswer: 24900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -36997871*b*g - 28144878*b wrt g.\nAnswer: -36997871*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyuyyyyeyyyy. What is prob of picking 1 e, 1 u, and 1 y?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1292809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 166130.\nAnswer: 2, 5, 37, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**3 + i**2 + 30*i + 5. Let b be s(6). Let w(z) = -2*z**3 - 5*z**2 - 5*z + 5. Let x(q) = q**2 + q - 1. What is b*x(y) + w(y)?\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 642741 (base 8) to base 16.\nAnswer: 345e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -15*k**3 - 7*k**2 - 10*k + 1161. Let v(p) = -7*p**3 - 3*p**2 - 4*p + 580. Give 3*o(r) - 7*v(r).\nAnswer: 4*r**3 - 2*r - 577","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 2, b: 3, z: 4, d: 2, t: 1}. What is prob of picking 1 t, 2 z, and 1 c?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1028 = -64*t - 52*t - 16 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-10)\/16*-29 + (-13)\/104. Suppose u*s = 17*s - 1. Let t be s*3*(-2)\/42. Sort t, 4, 0.5 in ascending order.\nAnswer: t, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 156 + -5 - 114 - (-3 - 54).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 15*a + 874. Determine u(-47).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 (base 12) in base 4?\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 89 + -1342\/15. Let g = y + 2\/15. Let b be ((-8)\/(2\/1))\/3. What is the nearest to g in 2, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -657 = -4*k - 2*p - 643, -3*k - 6 = -4*p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/12)\/(-4*(-12)\/(-128))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14155 - 4*j - 72084 - 7177.\nAnswer: -4*j - 65106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 10857, 10859, 10861, 10863, 10865?\n\"Answer: 2*u + 10855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, 51, -3, 4.\nAnswer: -3, 4, 13, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2433 = -2*y - 4*s - 793, -3*y + 2450 = s. Is 68 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 4, a: 2, f: 3}. Give prob of sequence fa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2224 (base 13) to base 9.\nAnswer: 6471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 8, i: 2}. What is prob of picking 2 i and 2 h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from nnnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1229257 divided by -57.\nAnswer: -1229257\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 17134*k. Let n(r) = 6*r**2. What is n(c(y))?\nAnswer: 1761443736*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -28 + 29.3. Let r = -1.3007 + q. What is r rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 6 - 2. Suppose 237 = g*h + 5*x, 71 = h - 4*x - 4. What is the remainder when h is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, j: 2, a: 2, s: 1, c: 2}. What is prob of sequence ca?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 113 + (-72 - (-67 + 69))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*(m\/(m**(-6)\/m))\/m*m)\/(m*(m\/(m**(-14\/5)*m*m))\/m))**(-5\/7) assuming m is positive.\nAnswer: m**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 6 = -40. Let i = 31 - j. What is the remainder when i is divided by ((-28)\/6)\/(2\/(-6))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -91 divided by -1\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (100\/(-15))\/(4\/18). Let w = 27 + t. What is the tens digit of (12\/8)\/(w\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 956.115 minutes?\nAnswer: 0.66396875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -513, -332, -151, 30, 211, 392?\nAnswer: 573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y + 4*y + 0*y)*(-1 + 1 + 2*y)*(78 + 326 + 100).\nAnswer: 1008*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.23714 and -217.\nAnswer: -216.76286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 4*o - 4*s - 18, 3*s = 2*o - 15. Factor -2*g**3 + 12*g**2 + o*g - 12 + g**3 - 2*g**3.\nAnswer: -3*(g - 4)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 13120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -5\/2138818  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**2. Let t(x) = 7*x**4 - 5*x**2 - 6*x. Let h(b) = t(b) - 5*y(b). What is the second derivative of h(f) wrt f?\nAnswer: 84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 + 2239c7c?\nAnswer: 2239c84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 0 = -56\/2599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t + 4 = 70. Let o(i) = 3*i**2 + 30*i + 3. Let b be o(t). What is the greatest common divisor of b and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5065 or 5105?\nAnswer: 5105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -3*b - 21, 0 = -3*a - 8*b + 3*b - 19. Let o(h) = -h**3 - 2*h**2 - 2*h + 7. Let m be o(a). What is the highest common divisor of 99 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 1343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 - -19. Let l = -30 + n. Put 0.4, -4, l in decreasing order.\nAnswer: 0.4, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 + 32\/24)*(-6)\/(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7103 - 14222 + 7119 - 52*x**2.\nAnswer: -52*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c + 8*c - 12. Suppose -c*r + 4 = -2. Suppose -s + 2*a = 2, 1 = r*s - 5*a + 9. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j**4 - 21881391*j**3 - 131288418*j**2 - 262576884*j - 175051272 = 0 for j.\nAnswer: -2, 7293803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 - 20*h**2 - 24*h - 23. Let s be w(-19). Let l be ((-2)\/8)\/(14\/s) + 1. Sort -2\/237, l, 0 in decreasing order.\nAnswer: 0, -2\/237, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8 + 3. Let a = 1098 - 1098. Put a, 7, q in decreasing order.\nAnswer: 7, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes after 2:28 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 131 is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23, 35, 37, 23, -13?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 856*w - 243*w - 13901 - 1424 = 0 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1219 take away -6.48?\nAnswer: -1212.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 555487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2 + 1 - 0)*-2. Let m be (2 + -3 - 0) + 1. Let t be 4 + 0*2\/4. Solve r*d = -m*d + t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7719212 > -69472898\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 c, and 1 g when three letters picked without replacement from {g: 1, r: 6, e: 2, m: 1, c: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2\/5 + 1. Let h(n) = -1069*n + 6410. Let o be h(6). Which is the closest to 0.2?  (a) -2\/9  (b) q  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*s**2 + 17*s**2 - 22*s**2 + 3*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 31 + (-151 - -135 - (-9 + 1))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -627a + 13907?\nAnswer: 8638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/3*o**3 + 22\/3*o**2 + 6 - 38\/3*o.\nAnswer: -2*(o - 9)*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 16027 = 4*o - 4*n, -5*o + 2*n = -20039. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the second derivative of -5*y**5\/4 + y**4\/6 - y**2\/2 + 33*y. Calculate i(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (13411 + -2 + 2)\/1. Let i = n + -268133\/20. Let q = -2667\/2 + 1361. What is the common denominator of q and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -110*j - 16.\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8112636 to the power of 1\/3, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 1048456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*k**3\/3 + 45220*k**2\/3 - 4103848*k.\nAnswer: 4*k*(k - 266)*(k + 11571)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sjc when three letters picked without replacement from {j: 3, d: 7, c: 5, n: 3, s: 1}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*i + 1169 = -13*i. Let z(k) = -4*k**2 + 3*k**2 - i + 168 - 7*k + 2*k**2. Find the common denominator of z(11) and 58\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 326839.\nAnswer: 2\/326839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 8134900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 426*t = 399*t - 216 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 341 - 344. What is the nearest to 1 in v, -41, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93*x - 9379 - 3041 = -182*x - 181*x for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5094 or 7287\/5?\nAnswer: 5094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 641116 = 355*p - 1485321 - 762198. What is the thousands digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 31 = -3*i - 2*i, -4*o + 8 = 0. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, u: 1, v: 2, l: 1, b: 1, o: 2}. What is prob of sequence bv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -35.8 in -124, -3, -53, -5\/3?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34 divided by -1475.\nAnswer: 34\/1475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 80 and 515.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:54 PM and 5:30 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 336.9906 litres to millilitres.\nAnswer: 336990.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**2. Let r be a(-1). Is (3 + -504)*r\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -23, 12, 23, 4, -51, -148, -293?\n\"Answer: -j**3 - 6*j**2 + 60*j - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 176*i - 179*i + 63. Solve 2*j + 7 = -h, 5*h + 10*j + i = 14*j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -70 and -1.3?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1922, -1923, -1924, -1925, -1926?\n\"Answer: -i - 1921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 23 - 9. Let j = d - 18. Which is the second biggest value?  (a) -2\/7  (b) -2  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 3 = -l. Let c = -87 + 165. Let i = -76 + c. Solve -7*v + i*v = l*q + 6, -9 = -4*q - v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (28\/35)\/(1\/5). Calculate the common denominator of -109\/6 and 1 - h - (-91)\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gkkkkkkkggkgggkg. Give prob of sequence gggk.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3002 by 79.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 171 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**2 + 7*n + 6. Let u = 23 - 15. Let o be w(u). Do -2 and o have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.36 + -83.276912.\nAnswer: -81.916912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 535258303 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.053 to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 125 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/50 and 49\/2400.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 134 and 201.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5.37 + -5.1. Let t = 0.97 + -1. Let g = m - t. Which is the third smallest value?  (a) -2  (b) 3\/2  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-nine fifths of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the third derivative of 1\/24*k**4 + 0*k - k**2 + 0 + 1\/6*k**3. Is j(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 + -243?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.1, 136, 0, 4, 0.3, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-61)\/(-3))\/((-1)\/3). Let u = 37 - g. Suppose 4*d - 38 = u. Is 15 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 76.17504 decades?\nAnswer: 761.7504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 0 + 0 - 1\/(7\/23) and 39\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/19792 and 62\/1013103.\nAnswer: 16209648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 9\/1467*((-100)\/(-15) - 49\/7). Are b and -8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 + (-12 - 34 - 18)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/5 - 24\/(-10). Let l be 0\/3*t\/(-4). Suppose -6*j = -8*j + 12. Solve l*g + j = 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the third derivative of -j**4\/24 + 7*j**3\/6 - 42*j**2 - 5*j. Let l(p) = -2*p + 15. Let n be 2 + (-1 - 8) + 0. Calculate n*v(t) + 3*l(t).\nAnswer: t - 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5)\/1 - (-17 + 2 + -5). Let p(j) = -154*j**2 + 1. Let n be p(1). What is the hundreds digit of 1*(-10)\/i*n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -48422019\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:23 AM and 11:09 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkff when four letters picked without replacement from {f: 2, k: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*p + 5*p - 6*p)*(-p - 3 + 3) + 3*p**2 + 11*p**2 + 4*p**2 - 3*p**2 - 3 + 4 - 3.\nAnswer: 13*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 927755 + -561535. Let v = d - 366199.00084. Let m = v - 21. What is m rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0395 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-1 + sqrt(162)*-2 + sqrt(162))**2 - (2 + -5*(sqrt(162)*1 + sqrt(162))).\nAnswer: 108*sqrt(2) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/4 - 145\/(-298). Let g = r + -2521\/894. Let i = -18\/1813 - -165163\/18130. Calculate the common denominator of i and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 16 in -4\/9, -6\/13, -5, -3\/4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2421 = -4*j - 65. What are the prime factors of j?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 144 and 2080.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = 5*m - 265. What is the third derivative of -4*p**4 - 7*p**4 - 18*p**4 - m*p**2 - 13*p**4 wrt p?\nAnswer: -1008*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 + (-12)\/(-9))*(-4 + 5). Which is the closest to 0.1?  (a) -0.6  (b) o  (c) 1\/2  (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11 - 15. Let w(t) = t**3 + 3*t**2 + 7*t - 2. Let o be w(d). Let m = o + 51. Solve 6 + 14 = -m*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:12 AM and 4:16 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60*h + 91172 + 9148 = 0. List the prime factors of h.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -5*k - r - 40, 2*k + 5*r = -16. Let o(j) = -j**3 - 6*j**2 - 13*j - 7. Let g be o(k). What is the greatest common factor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -19734 + 19742. Let o(g) = 3*g**2 - 4*g + 5. Let a be o(5). Suppose -3*l - l + a = 0. What is the remainder when l is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74198950?\nAnswer: 2, 5, 7, 211997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 3 + 20 = k, 0 = 5*k + 25. Let i = t + -11. Solve 3*w + i = 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -3*a + 64. Suppose -2*f + 5*f - 57 = 0. Let x be k(f). Solve -x - 2 = 3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 9*w**4 + 484*w**3 + 8045*w**2 + 45454*w + 16. Let h(t) = -24*t**4 - 1290*t**3 - 21453*t**2 - 121212*t - 42. Let p(d) = 8*h(d) + 21*m(d). Factor p(g).\nAnswer: -3*g*(g + 14)*(g + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**2 - 2*d - 6. Let g(i) = 7 + 13 - 15 + 83*i**2 + 2*i - 84*i**2. Give -4*g(o) - 3*h(o).\nAnswer: o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 0*i + 3*i - 1 + 1. Let u(b) be the first derivative of -1 + 0*b - 1\/2*b**2. What is u(o(m))?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 1612 = -9*r + 4*u, 3*r = -u + 1201. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 2*v - 13. Let x(b) = b + b + 6 - 3*b. Let r(o) = -3*a(o) - 5*x(o). Let w be r(5). Solve w*d = 3*d - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the third derivative of 7\/60*p**5 + 0*p**3 - 2*p + 20*p**2 + 0 - 1\/8*p**4. Let w(s) = s. Give w(m(q)).\nAnswer: 7*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -6*i - 2. Let u be h(-4). Which is smaller: 24 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1069*q + 623 = -3653 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*(h*h**(-9))\/h)\/h)\/(h\/(h\/h**(-1\/4)*h*h*h))*(h*(h*(h**8*h)\/h)\/h)\/h**7)**(2\/27) assuming h is positive.\nAnswer: h**(-5\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-3)*-3 + -4. Let t = -0.5 + -0.5. Let c = t + 1. What is the nearest to -2\/3 in 3, f, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = -2*j - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 300 + -296. Suppose -w*c = -2*c - 4078. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b + 13. Suppose 0 = -3*x + 5*t + 20, -4*x - t - 4 = -0*x. List the prime factors of z(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen twelths of a millennium in months?\nAnswer: 13000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**2 - 5*l + 3. Suppose 3*s + u + 14 = -6, 22 = -2*s - 5*u. Calculate z(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -713, -5, 1, 0.\nAnswer: -713, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 155*a - 67487546 - 1104759. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the second derivative of z**7\/21 - 3*z**3\/2 + 9*z. Find the second derivative of m(s) wrt s.\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 10.4?  (a) 4  (b) 15.7  (c) -2\/21  (d) 0  (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two ninths of a day in minutes?\nAnswer: 5120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 474077889*o**2*u + 10*o*u + 671*o - 54*u wrt o?\nAnswer: 948155778*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*w + 3*w + 868*w**2 - 28*w**3 - 865*w**2 to the form f + z*w + j*w**3 + h*w**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.23 + 1388544.\nAnswer: 1388543.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**2 + 91*k - 849. Give c(83).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64986.\nAnswer: 2, 3, 10831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mzmyyymzmzzimc. What is prob of sequence mic?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -5*l**3 - 6*l**2 + l + 6. Let j be (6\/5)\/(441\/70 + -6). Let h(g) = 9*g**3 + 11*g**2 - 3*g - 11. Let q(p) = j*h(p) + 7*y(p). Calculate q(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 19 = -3*g. Let z(q) = 2 - 2 + g*q. Let f(x) = -x**2. Determine f(z(b)).\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2561*j**2 + 10485?\nAnswer: -5122*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 3, n: 1}. What is prob of sequence eee?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(-3)*54\/3. Let h = o - 9. What is the units digit of h\/((-45)\/(-12))*-5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*v = 2*v + 128 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -6*k - 97. Give n(-10).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 443015 and 12550?\nAnswer: 1255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 - -10. Suppose -18 = x + 3*f, -x - x - 40 = s*f. Let y be (-6)\/(-15) - 26999988\/x. Round y to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9 + -10. Let l be -2 - (5\/o - -1). Solve -l*k - w + 1 = 2*w, -4*w = -3*k - 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -659 + 659. Factor j + 0*k**2 + 2\/3*k - 2\/3*k**3.\nAnswer: -2*k*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -y - 422 - 399, -4*n + 823 = -3*y. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v\/(v\/v**(-1\/2))*v)\/v)\/(v\/(v*v*((v*(v**(2\/7)*v)\/v*v)\/v)\/v))*v**(3\/8)*v**3)\/((v**1\/v*v)**(-7\/8)\/(v**(-8)\/v**6)) assuming v is positive.\nAnswer: v**(-223\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes after 11:58 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z**8*z)\/z)\/z*z)\/z**(-1\/13))**(-5)\/((z\/((z*z*z**(-5\/3))\/z))\/z**(-2\/11)*z**(-3)\/((z*z\/(z*z**7)*z*z)\/z)) assuming z is positive.\nAnswer: z**(-18976\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.54 and 7.255?\nAnswer: 7.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1011010010101100000011100 + -101?\nAnswer: 1011010010101100000010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1682559337?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (((1*sqrt(130))\/sqrt(10))**2*-4 + -4)*6.\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**2 + 3*l + 10. Let d(z) = z + 1. Let i(q) = 6*d(q) - h(q). Let m = -16 + 11. Calculate the least common multiple of 8 and i(m).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -47*o + 43*o - 40. Let d be ((-4)\/o)\/(27\/(-45))*-3. Suppose i = -2*t + 65, d*i - 77 = i + 4*t. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -523.415 - -540.8. Let m = j + -16.1. What is m rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2410*s + 659*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2700464713 to the nearest integer?\nAnswer: 51966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/23 in 0, 36.2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 3\/((-1071)\/(-700))*3 + -6\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -27*r - 9. Let y(s) = -13*s - 4. What is 4*f(p) - 9*y(p)?\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 4.165 = 179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*s**2 - 7*s**2 - 1 + 1.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6084711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 217901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -349*f + 2301*f = -445*f + 98277 for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.012896659 to four dps.\nAnswer: -0.0129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-2\/7)\/f**(2\/11)*((f\/(f*(f**(1\/3)*f)\/f*f*f*f))\/f)\/f**(-2\/11)*(f**(-2)\/f)\/(f**(2\/7)\/f)*f*f**(-6)*f\/(f\/f**6) assuming f is positive.\nAnswer: f**(-124\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**3 + h**2 - 2*h - 1. Let b = -86 - -88. Suppose -b*j - 25 = 3*j - 5*y, -3*y = 3*j - 3. Determine n(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -1, -5, 44 in increasing order.\nAnswer: -5, -1, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3430 + -140?\nAnswer: 3240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 202*t + 19089 = -101*t for t.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 16 - 59 + 10 + 16 + 18*n**3 + 21 as l + u*n + c*n**2 + d*n**3 and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 502*b + 249*b = -20277 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0056437143 rounded to 4 dps?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the third derivative of t**6\/180 + t**5\/45 - t**4\/12 + 16*t**2. Factor k(v).\nAnswer: 2*v*(v - 1)*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 83954 to the power of 1\/2, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b - 24 + 3 = 3*x, 663*b - 668*b = x - 31 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 10 = 5*z, -2*v - 13 - 7 = 4*z. Let y(a) = 2*a**3 + 5*a**2 + 2*a. Let c be y(z). Let u = 79 + c. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-121 + 118 - 3*z - 3*z)*(2 + 3 - 3)*(0*z + 0*z + 2*z**3).\nAnswer: -24*z**4 - 12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -69a55 (base 11) in base 9?\nAnswer: -163607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2306 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 38902, 77833, 116788, 155773, 194794, 233857, 272968, 312133?\n\"Answer: r**3 + 6*r**2 + 38906*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -54*l**3 + 27*l**2 + 21*l - 32. Let y be k(-24). Let w = y - 284512. What is w rounded to the nearest ten thousand?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1418.7 - 1011.4. Let v = k + -401. Round v to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -131\/6876 and 40\/29657907?\nAnswer: 118631628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 4 = -3*z. Let q(d) = 10*d**2 - 4*d - 3. Let j be q(z). Let v = j + -22. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -u**4\/2 + 25*u**3 - 461*u**2\/2 + 20*u + 2850 = 0.\nAnswer: -3, 5, 10, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 - 4*w**2 + 351*w + 1738. Determine p(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 g, and 1 l when three letters picked without replacement from lllogllgoooaogg.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13423854 is divided by 1798.\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 6 + -8 + -5 + 15 + 0\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10 - 6.6. Let b = s + 16.466. Let l = -0.439 - b. Round l to two decimal places.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 871639835.2 to the nearest 10000.\nAnswer: 871640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -61, -14, -5, -21, 4 in decreasing order.\nAnswer: 4, -5, -14, -21, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58*s - 2*s**2 - 2809 - 1927 - 58*s.\nAnswer: -2*s**2 - 4736","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 331 is divided by (-1558)\/(-14) + (4\/28)\/(13\/(-26))?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.06 rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -187, -189, -191, -193, -195, -197?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2 + 8*g. Determine w(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7059711 is divided by 617?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -6b4a98 (base 13) to base 16\nAnswer: -26f2d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.36, 0, -2\/9, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, 3\/118, 910?\nAnswer: 3\/118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2035287000 rounded to the nearest 1000000?\nAnswer: -2035000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*z + 22*z + 8298 = 0. What are the prime factors of z?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 6\/65, -1\/68, -11, 6?\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*d = -53*d + 4*w - 16, -3*d + 5*w = 13. What is the nearest to -1\/4 in -2, d, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-102)\/17*(-4)\/30)\/(((-120)\/(-100))\/(-3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1144, -9140, -30826, -73042, -142628?\n\"Answer: -1140*v**3 - 5*v**2 - v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -100 divided by 380836?\nAnswer: -25\/95209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53 = 5*c - m, 5*c + 2 = -5*m + 37. Let l(b) = 4*b - 12. Let d be l(c). Suppose -d = v - 5*v. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 523 + -520. Solve 2*l - r - 14 = -l, 0 = a*l - 3*r - 18 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the second derivative of o**4\/12 - o**3\/6 - o. Let h be q(-1). Solve -1 = -h*r + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -9 + -6 + 24 + -8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1015\/2 in 0.18, 5, 4\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 84837516?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/(2150\/350)*-3*(-4)\/(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 30112 (base 4) in base 10?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 65.14429 milligrams in tonnes?\nAnswer: 0.00000006514429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3327483 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 4.02 from -0.08.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c**5\/11 + 46*c**4\/11 + 228*c**3\/11 + 424*c**2\/11 + 272*c\/11 = 0. What is c?\nAnswer: -17, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4637 is divided by 1694?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5 and 548466755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve f = -17*j + 20*j - 13, -16 = -2*j - 7*f + 31 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -59\/5, -0.7, 7, 1\/6 in decreasing order.\nAnswer: 7, 1\/6, -0.7, -59\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of g*w**6 - 3363*g*w**5 - 23*g*w**2 + 85*g wrt w?\nAnswer: 120*g*w**3 - 201780*g*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-2\/25))\/(s\/(s*s\/((s*s**(3\/7)*s)\/s))))**16 assuming s is positive.\nAnswer: s**(1376\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-48)\/(-9) + -4)\/(204\/(-306)). Sort -2\/3915, q, -1\/2.\nAnswer: q, -1\/2, -2\/3915","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (2*(3*sqrt(104)*-1 + -2*(sqrt(104) - sqrt(104)*1)))\/(-2*1*sqrt(800)*5).\nAnswer: -5 + 3*sqrt(13)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes after 7:55 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b + 8 - 20. Solve b*i = -0*i + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 50, 239, 570, 1055, 1706?\nAnswer: 2535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 454 a factor of 1818270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 69648014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 735857.9 centuries in decades?\nAnswer: 7358579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 2 = 0, 0 = -5*n - 5*i + 11 + 9. Suppose -336 = -n*y + y. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/15 of a hour in minutes?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 26*q. Let f(a) = a**3 + 3*a**2 - 20*a + 61. Let n be f(-7). Let t(x) = 17*x. What is n*p(r) - 7*t(r)?\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.67 - -21.17. Let i = -21 + x. Sort -5, 3\/2, i in ascending order.\nAnswer: -5, i, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -5.5669 and -101.\nAnswer: -106.5669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:26 PM and 4:46 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -42 (base 6) in base 2?\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/2*(-638)\/(-6699)*56\/17?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 40\/21)*47\/((-4230)\/420).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2354862 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 615806.\nAnswer: 2, 307903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 362487123+120\nAnswer: 362487243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 5 + sqrt(38)\/sqrt(2) + -2*sqrt(931) + -5 + 4 + (sqrt(1539) - (sqrt(1539) - (sqrt(1539) + sqrt(1539)*-1*4)))**2 + 5.\nAnswer: -13*sqrt(19) + 13856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2284661.86 and 0.5?\nAnswer: -1142330.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/216 and 69\/20.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 84 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*a - 2*a**3 + 56*a**2 - 57*a**2 + 2*a as f*a + w*a**2 + u + j*a**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbegbbdgdgbbdeggbbg. Give prob of picking 1 g, 2 e, and 1 d.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 78279 - 40343. What are the prime factors of t?\nAnswer: 2, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -253 - -256. Solve t = 3, -18 = -2*b - b - s*t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5384 * 0.0694.\nAnswer: 373.6496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 7241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y*(y*y**(-4))\/y*y))**(6\/17)*y*(y\/(y**7*y))\/y*y*y*(y*y**(-3))\/y)**(-5\/9) assuming y is positive.\nAnswer: y**(590\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07 times 1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/(c**4\/c))\/c)\/c)\/c**26*(c**3)**(-1\/39) assuming c is positive.\nAnswer: c**(-391\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*i = i + 7200. Suppose 5*z = 1315 + i. What are the prime factors of z?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -20*f. Let x(n) = n**2 - 4280. Determine k(x(t)).\nAnswer: -20*t**2 + 85600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 14*d + 1 + 19*d - 6*d. Let v = -380 + 384. Suppose -v*t = -5*l - 29, t - 12 = -t + 2*l. Determine a(t).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7984*h - 7984*h + 759*h**4 + (h**2 - h**2 - h**3)*(0*h - 2*h + h) to m + k*h**2 + o*h**3 + p*h + c*h**4 and give c.\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/11*2)\/1.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (8\/5)\/(((-2)\/30)\/(-1)). Suppose 27*m - 1839 = a*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - 295?\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -47 times 6?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 2131*c**4 - 1062*c**4 - 1070*c**4 + 1 + 6*c**3 + 4*c**2 in the form v*c**4 + n*c + p*c**3 + d*c**2 + i and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4\/14 + 300\/28 - 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/(95\/(-20) + 6). Which is the third biggest value?  (a) 0.2  (b) -1  (c) s  (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 284831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4\/31 - -19\/93. Which is the closest to 1\/4?  (a) 5  (b) i  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z**5 + 174*z**4 + 3243*z**3 + 16980*z**2 - 44400*z + 24000 = 0.\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/2)\/(6*(-7)\/(-12)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 < 392\/54123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.048337392 - 413022338.951662608. Let x = -413022271.9999812 - w. Let c = -67 + x. What is c rounded to 6 dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 0 = 12. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -43*d - 3*d**2 + 13*d**2 - 1 + 24 - 13 - 12*d. Let q(m) = 7*m**2 - 37*m + 7. What is -7*q(x) + 5*u(x)?\nAnswer: x**2 - 16*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 - 0.5. Let f = g - -0.75. Let h = f + -1.23. Round h to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 2*a**2. Let u(y) = -86*y + 9. Let n(p) = 130*p - 13. Let l(z) = 5*n(z) + 7*u(z). What is c(l(m))?\nAnswer: 4608*m**2 - 384*m + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11 - -18. Determine h so that -13*h**4 + 31*h**3 - 46*h**3 - 5*h - 4*h**5 + 4*h - o*h**2 = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 936569 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -78190*b - 4*w + 1 = -78189*b + 8, 3*w = -2*b - 14 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 209*x**4 + 1011*x**2 wrt x.\nAnswer: 5016*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 50\/13?  (a) -0.3  (b) 5  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 35*x**3*z**2 - x**3 + 2*x**2*z**2 + 20*x**2*z + x*z**3 wrt z.\nAnswer: 70*x**3 + 4*x**2 + 6*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1370710 divided by 2.\nAnswer: -685355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48 - 75 + 123 + 8*y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 + 2 + 15 + -3. Let c = -104 - 20. Let w = 228 + c. Calculate the greatest common divisor of y and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*q = 14*q - 25 + 140. Which is the nearest to 0.4?  (a) 14  (b) q  (c) 4  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 216221.02340959 + -216221.12. Let z = 0.0966 + d. What is z rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -19428270\nAnswer: 2\/9714135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16*s**2 + 2\/9*s**4 - 4\/9*s**3 - 1280\/9 + 832\/9*s.\nAnswer: 2*(s - 4)**3*(s + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/4, 1.3, 550?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -t - 5*f + 52, 0 = -2*t - 2*f + 52. Suppose h - 12 = -35. Let b be -2 + t\/h - -3. What is the third biggest value in -3, b, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*f + 2*f + 2*f**3)*((-10 + 3 - 18)*(-30 + 30 + 10*f) + 8*f - f - f - 3*f - f + 3*f) to g*f**2 + d*f**4 + z + q*f + c*f**3 and give d.\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**34*d)\/(d*d**35) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 6056470 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the third derivative of w**5\/60 - 37*w**4\/24 + 191*w**3\/2 - 3*w**2 + 114*w. Differentiate y(r) with respect to r.\nAnswer: 2*r - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1505345 - -32?\nAnswer: -1505313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the third derivative of 1283*n**5\/60 - n**4\/24 + 137*n**3\/3 + 338*n**2 + 2. Find the second derivative of p(k) wrt k.\nAnswer: 2566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -44332a (base 12) in base 16?\nAnswer: -108a12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**3 + 16*y**2 + 20*y + 17. Does 8 divide i(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -49 + -69 - (-11 - ((2 - -4) + -10))?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 7 + 1*(0 - 2). Solve -a*v + 3 = -h + 23, 3*h + 4*v = -16 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60*l - 123 - 57 = 0. Let f(u) = 5*u + 2. What is f(l)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*v - 40*v + 50358 = -2*d, 10*v - d = 167860. List the prime factors of v.\nAnswer: 2, 7, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(3\/8))**(-2\/101) assuming k is positive.\nAnswer: k**(-3\/404)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -46 + 45.9. Which is the nearest to 0.1?  (a) o  (b) 0  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 34 and 6\/122461?\nAnswer: 122461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -28*v - 4. Let t(p) = -22*p - 4. Let h(z) = -3*r(z) + 4*t(z). Let d(f) = -12*f**2 + 6*f**2 + 7*f**2. Calculate h(d(u)).\nAnswer: -4*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -31*b - 7 - 15 - 52*b**2 - 2*b - 2*b**3. List the prime factors of y(-26).\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:59 PM and 10:11 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -r**5 + 5*r**5 - 3*r**5 + (89*r**4 - 9*r**4 - 7*r**4)*(3 + r - 3 + (-5 + 3 + 0)*(5*r + 3*r - 6*r) + 2*r + 5*r - 5*r - 3*r + 4*r + r + 0*r + r + 0*r).\nAnswer: 147*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = -18*q + 3029. Suppose 7*w = -219 + q. Factor 10\/13*g - 8\/13 - 2\/13*g**w.\nAnswer: -2*(g - 4)*(g - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -35.17, -44774 in decreasing order.\nAnswer: 0.1, -35.17, -44774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or -301\/4?\nAnswer: -301\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1169934 to the power of 1\/2, to the nearest integer?\nAnswer: 1082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) -2  (c) -0.4  (d) 1\/443\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 64*x + 1. Let o be j(1). Let i = 1 - 1. Let k(z) = -z**3 - z + 26. Let q be k(i). Calculate the greatest common divisor of o and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 185293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1042 + 7310\/7. Factor -4\/7*i**3 - u*i**2 - 8\/7 - 20\/7*i.\nAnswer: -4*(i + 1)**2*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*i + i + 1 = 7*i + 2*b - 12 - 31, 280 = 65*i + 2*b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1351251504.\nAnswer: 2, 3, 47, 61, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 84108\nAnswer: -1\/28036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + 22 + -1 + -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 917181?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(2\/73)*z**(2\/31)*z*z*z\/(z*z\/z**(-25))*z*z*(z\/(z*z\/(z\/z**(-2\/73))))\/z assuming z is positive.\nAnswer: z**(-51779\/2263)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -2*o + 542. Let z(w) = -5*w + 10. Let i(m) = 7*m - 15. Let r(q) = 2*i(q) + 3*z(q). Give r(d(k)).\nAnswer: 2*k - 542","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1460355435.\nAnswer: 3, 5, 7, 11, 421459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**2 - 31*g - 48. Let m be k(32). Let u(a) = 2*a**2 + 26*a - 66. Does 10 divide u(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 51, -23, 5, -4, -9 in increasing order.\nAnswer: -23, -9, -4, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n, 2*q + 0*q + 4*n = 2. Let x be (12\/(-16) - -1)*q. Factor -3\/4*d**2 + x + 1\/2*d.\nAnswer: -(d - 1)*(3*d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 54299 or -1822?\nAnswer: -1822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -887 divided by 37\nAnswer: -887\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -91\/64 and -31\/44.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*u + 3*u + 6*u - 3*u + u + 0*u + (-3*u + 2*u - u)*(-2 + 3 - 3) + 25 - 25 + 56*u + 3 - 3 + 2*u + (-3 + 3 + 1)*(2*u + 0*u - u).\nAnswer: 67*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/18 - 14\/(-288). Suppose 4*c + y = -3*y + 4, -3*c + 11 = 5*y. What is the third smallest value in -0.2, c, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the second derivative of -11*v**4\/6 + v**3\/6 + 7*v - 33. Let u(f) = 8*f. Determine n(u(k)).\nAnswer: -1408*k**2 + 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*u**2 - 2*u**2 + 0*u**2)*(-1 + 2 - 3) + u**2 + u - u + (6*u**2 - u**2 - 4*u**2)*(171 - 146 - 151) as c + z*u + v*u**2 and give v.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1159 and 171133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, -60739, -0.5?\nAnswer: -60739","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -12*m. Let x(l) = l**2 - 1. Calculate x(b(n)).\nAnswer: 144*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the first derivative of o**3\/3 - 1. Let v(m) = 1 - 1479*m - 1 + 1478*m. What is v(s(h))?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (-2 + sqrt(1300))**2 + sqrt(1300) - sqrt(1300))*5 + -4*(sqrt(1300)*1 + 0)**2.\nAnswer: -200*sqrt(13) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 184*z**2 - 195*z + 4. Give p(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3835*s**4 + 3260*s wrt s.\nAnswer: 46020*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**2 + 4*a - 1. What is k(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 + 3. Suppose -3*z + 4*z = 12. Let l = z - 7. Put d, l, 3 in decreasing order.\nAnswer: l, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93 = n - 24. Let q = 135 - n. Calculate the greatest common divisor of q and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10517071 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 6*z**2 - 4*z - 4. Suppose 11*n + 36 = -n. Let i(f) = -7*f**2 + 5*f + 5. What is n*s(p) - 2*i(p)?\nAnswer: -4*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 174376728, 348753455, 523130182, 697506909, 871883636?\nAnswer: 1046260363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4627*o + 23303 = -55356. Let h = -3 + 2. Let u = 6 + h. Solve -o = 2*d - u*f + 10, -2*d = -3*f + 17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 2*x**2 - 4*x + 3. Suppose j - 4 = 3. Calculate the smallest common multiple of j and m(3).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 + 3. Let z be m(0). Suppose 2*w - 7*w = 0. Suppose 0 = -2*t + 5*o + 83, -4*t + 127 = z*o - w*o. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/13668 and -143\/9380?\nAnswer: 478380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 141 + 51. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j + 4*j. What are the prime factors of -25*3\/(-3 - j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -1 - h**2 + 2*h - 2 + 0*h + h. Let q be r(2). Which is smaller: q or -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the first derivative of -g**3\/3 + 2. Let t(l) = 25*l + 10. Let q(h) = -37*h - 9. Let p(y) = -2*q(y) - 3*t(y). Give p(o(b)).\nAnswer: b**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the first derivative of -2411*b**5\/5 - 2368*b + 1292. Differentiate g(a) with respect to a.\nAnswer: -9644*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 833518?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -6*w**2 + 4*w**2 + 2*w**2 - 3*w**2. Let k(i) = -6*i**2. Determine k(l(j)).\nAnswer: -54*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((u*(u**(-1\/4)*u)\/u)\/u)**(-40)*(u**1*u)**(-2\/33))**26)**(12\/17) assuming u is positive.\nAnswer: u**(33904\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(1\/6)*m)\/m*m*m**6)**(9\/5)\/((m*m**0\/m*m*((m\/(m\/m**(-4)))\/m)\/m)\/(m\/(m*m\/(m**(-6)\/m)*m)*m*m\/(m\/(m\/m**(-1\/5)))*m)) assuming m is positive.\nAnswer: m**(121\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 6) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 17323923613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 2 = -5*x + 3*c, -2*x = -2*c + 2. Let m(k) = -2*k - 1 + 0*k**3 + 8*k**2 + 0*k + k**x - 6*k. List the prime factors of m(-7).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + 7. Let h(b) = 23*b + 81. Let s be h(4). Let x = 168 - s. Sort x, -1, a in descending order.\nAnswer: a, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the third derivative of -t**5\/60 - 5*t**4\/4 - 25*t**3\/3 + 580*t**2. Give b(-28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 19428783*a**4*t**3 + 2*a**2*t**2 - 126027*t**3 + 238*t**2 with respect to a.\nAnswer: 77715132*a**3*t**3 + 4*a*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11086699 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-10) - (4 - (-142)\/(-40))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/27550 and -15\/406.\nAnswer: 192850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 199.4421 rounded to 1 decimal place?\nAnswer: 199.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**2 - 25743*j + 77227. What is z(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8928312 to the power of 1\/2, to the nearest integer?\nAnswer: 2988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 154 + 179 = 0. Differentiate 27 + 58*v + q*v - 138*v with respect to v.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 124948.\nAnswer: 2, 31237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2638818, -5277581, -7916342, -10555101, -13193858, -15832613?\nAnswer: -18471366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 473 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 c when three letters picked without replacement from {f: 2, y: 1, q: 1, c: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) + -1)*4 + sqrt(63)\/(sqrt(9) + sqrt(54)\/sqrt(6)).\nAnswer: -4 + 9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 48 = 4*v, -5*w + 4*v = 45 + 24. Calculate the remainder when (-6)\/12 + w\/(-2) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10200130322 + 2?\nAnswer: -10200130320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.378 - 71.522. Let n = o + 64. Let t = -1225 + 1226. Which is smaller: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 41 + -13. Let l = -25 + h. What is the nearest to -1 in 38\/3, 2\/7, l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1, 0.03, -2, 7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 2*z = 100. Suppose d - 4*n - 30 = 0, 5*d = n + 2*n + 65. Calculate the greatest common divisor of d and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:32 PM and 9:37 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 - 488e5d?\nAnswer: -488e63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/7 in -869, -3, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 18656\/6 - 100\/300 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 91, 150, 195, 220, 219, 186, 115, 0?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 7*k**3 - k**2 - 2*k + 4. Let w(t) = -2*t**3 + t - 1. Let z(v) = s(v) + 3*w(v). Let u(j) = -6*j**3 + 3*j**2 - 2*j - 3. Give u(p) + 3*z(p).\nAnswer: -3*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3256 + 6?\nAnswer: 3264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 545\/81  (b) 4  (c) 120\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 23827262?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are -440 and -440 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000003455 to 7 decimal places.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4250000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 137 - -13. Find the second derivative of 22047*s - 101*s**2 - 22128*s - g*s**2 wrt s.\nAnswer: -502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 354 a factor of 49455216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3382.7963 - -3382. What is d rounded to 2 decimal places?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -161\/3900 and 17\/48087000.\nAnswer: 48087000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1404986 divided by 32?\nAnswer: 702493\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-1\/28)*f*f)\/f**(2\/15))**(-4\/41)*(f**(-4\/7)*f)\/(f**(-3\/8)\/f)*f**(4\/3)\/(f*f*f**(-5)*f) assuming f is positive.\nAnswer: f**(1361\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -s**2 - 3*s**3 - 3*s**2 - s**2 + 757*s - s**4 - 757*s to the form a*s**2 + z*s**3 + d*s**4 + w + b*s and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x\/(x\/(x**(-12)\/x))*x*x**23 assuming x is positive.\nAnswer: x**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + (3 - (8 + 3) - -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.06721 to three decimal places.\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, u: 1, e: 2}. What is prob of sequence uu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 3*c + 26 = 0. Let o = 104 - -213. Let k = 302 - o. Which is smaller: k or c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -42*i + 19*i + 11*i + 13*i. Let z(p) = -5*p**2. What is z(r(u))?\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44816689.\nAnswer: 44816689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 48 and 396.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand y**5 - y**5 + y**5 + (2 + 3 - 3)*(-2*y**5 - 2*y**5 + 6*y**5) - 34*y**4 + 34*y**4 - 8*y**5.\nAnswer: -3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**3 - 15*q**2 + 297*q - 5635. What is r(17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 2\/191, -1, -2\/9, 0.5?\nAnswer: 2\/191","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7 + 12. Suppose -33 = -r*q + 67. Suppose -4*h = -5*n + q, 2*n - 2*h - 8 = 2*h. Solve -2*g - 2 = -n*s, 5*g + 4*s = 7*s + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 481 divide 1587618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -2*y + 3*o - 12, -5*y - 5*o = 50. Let c be (-6)\/9*(y + 5). Find f, given that 1\/2 + f**4 + 1\/2*f - 3\/2*f**c - 1\/2*f**3 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -580*v - r + 99 = -555*v, 0*r - 3 = -v - r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -2. Suppose t + 3*t + 4 = 0. Suppose -2*y + 8 = 4*d, -3*d = 2*d - 2*y - 28. Sort t, f, d.\nAnswer: t, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 4, a: 10}. What is prob of sequence anaa?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 3*i**3 + i**2 - 3*i - 4. Let x be j(5). Let p = x + 38. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**3 - 6*g**2 + 5*g - 5. Give z(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6 - (4 + 4 + -4). Let n(r) = 47 - 8*r**c - r + 7*r**2 + 0*r. What are the prime factors of n(0)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wtwt when four letters picked without replacement from wwwwwwwwwwtwwwwwtw?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**3 - g**2 + 3*g + 5. Let o be w(-2). Solve 0*x = -o*x + 2*p + 1, -p + 1 = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 166194 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -151, -303, -457, -613, -771?\n\"Answer: -i**2 - 149*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 39952249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02736125896 to 3 decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add together 5881 and -0.15.\nAnswer: 5880.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 8507253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k - 15. Let n be q(-17). Suppose c + j = n, 3*c + 2 = 2*c - 3*j. Suppose -c*v + v + 6 = 0, -134 = -3*s + 5*v. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -37655*q - 24660.\nAnswer: -37655","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-24)\/(-16))\/((-1323)\/196). What is the fourth biggest value in -3\/2, -3, -5, -0.49, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 747584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the third derivative of -l**5\/30 + 7*l**4\/6 - 13*l**3\/3 + 22*l**2 - 1. Suppose u(q) = 0. What is q?\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(448)*1)**2 - -1*(sqrt(448) + 0) - (-2 + (1 + sqrt(847))*2 + -3)**2.\nAnswer: -4741 + 140*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.62922742 to 4 decimal places.\nAnswer: 3.6292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-r - 2*r + 0*r)*(-4 + 4 - 1) + (-1 - 4 + 3)*(2*r + r + 0*r) to the form n*r + d and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 70 + 1057690?\nAnswer: 1057760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1509034 and 1988.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 12, e: 1}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 12 + 9 + -3 + -16\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.21 + -0.2100014. What is h rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 71*o**2*p**3 - 8*o**2 - 2*o*p**2 + o*p wrt p?\nAnswer: 426*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -12 + 1. Let o = j - -11.0002. What is o rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x - 4. Let v be b(-18). Let f be 294024\/84 + (-4)\/v. Round f to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 115 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -110*r + 237941 = 294744 - 1371413. List the prime factors of r.\nAnswer: 17, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 - -4*(-1)\/(-2))*1. Suppose -5*y + 86 - 41 = o. Solve 3*s = f + y, -f + 6*f - 23 = -2*s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 4*q - 4 = 0. Which is smaller: q or 4\/13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -17*k. Let w(g) = 15 - 3 - 9 - g - 4. Let l(a) = 3*a + 4. Suppose -2*c = -5*y + 10, 4*y - 28 - 3 = -3*c. Let r(f) = y*w(f) + l(f). What is d(r(o))?\nAnswer: 17*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 12*f - 67. What is the tens digit of u(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -9*w**3 + 11*w**2 + 15*w + 13. Let y(r) = -5*r**3 + 6*r**2 + 8*r + 7. What is -6*v(t) + 11*y(t)?\nAnswer: -t**3 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -146, -153, -172, -209, -270, -361, -488?\n\"Answer: -y**3 - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 + (2\/(-5) - 696\/(-40)). Let s(q) = 5*q + 41. List the prime factors of s(j).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -42*q - 1079. Let i be u(-28). Let w = -45 - 29. Let f = i - w. Is 31 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -7*h - 1. Let a(n) = -3*n - 5. Let u(g) = g + 2. Let y(c) = -2*a(c) - 5*u(c). Let q be 5 + 13 + 4 + -5. Let b = -18 + q. What is b*x(j) - 4*y(j)?\nAnswer: 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yryyyyr. What is prob of sequence yyyy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*1*sqrt(32)\/sqrt(4))\/(5*6*sqrt(16))*3.\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-80)\/(-25))\/((-3)\/(-540)). What is the highest common divisor of z and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6932.68 litres to millilitres.\nAnswer: 6932680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zh when two letters picked without replacement from zhzhhh.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 712.6 + -711.5. Put -2\/11, -0.459, z in descending order.\nAnswer: z, -2\/11, -0.459","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 - (3\/(-12) - 76\/16).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**4*(v*v**5*v)\/v)**(2\/29)\/(v**5*v**(3\/5)*v**(8\/3)) assuming v is positive.\nAnswer: v**(-3296\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 10518591.\nAnswer: 84148728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6005118 (base 9) to base 14.\nAnswer: 5d159b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000003232 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1\/22)*(w**(-34)\/w)\/w*(w\/w**(17\/2))\/(w**(-7\/8)\/w*w*w))**(-26) assuming w is positive.\nAnswer: w**(49959\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/2  (b) -5  (c) 1  (d) -0.3  (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 2 h when three letters picked without replacement from {j: 5, n: 3, l: 1, h: 4}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of 50131093 and -8881.\nAnswer: 50122212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-36)\/15*(-1 - -6). Let z = 17 + k. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 2, 1, 8 in ascending order.\nAnswer: 0, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 11, d: 8, e: 1}. What is prob of picking 1 d and 2 s?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2364*c - 856 = -2277*c + 1406 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 2*s**3 + 12*s**2 - 20*s - 20. Let h be t(-7). Find the common denominator of (-1)\/4 + (-278)\/264 and (-609)\/126*(-4)\/h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7202 + 7116.66. What is r rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((-4*sqrt(126)\/sqrt(7))**2 + 1).\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2*(-2 - 13\/(-7)). Let v be 1 - ((1 - 3) + 1). What is the closest to r in 5, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 13*b + 7. Let h be t(-1). Let o be h\/(-21) - (-450)\/42. Put -4, o, 5 in ascending order.\nAnswer: -4, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -49.21 + -1936.79. Let n = t - -1985.9998257. Round n to five decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-42 - 5) + -71 + 97?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 406257*z - 35 + 35 - 406259*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-27)\/(-12))\/3*(-18)\/243. Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 6, d: 2, u: 2, r: 1}. What is prob of sequence ds?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3342\/11 - -304. Let s be 46\/40 + 12\/20 - 1. Which is the nearest to 0.2?  (a) s  (b) -0.5  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 + 2 + 0\/1. Let f be 0 + z*(-2 + 3). Suppose 0 = -3*d + k + 13, -5*d + 5*k + 15 = -0*k. Sort d, 1, f in descending order.\nAnswer: d, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -1 + -4 + (9 - 9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2*l**2 - 70*l + 338. What is b(29)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 679231, 679228, 679225, 679222?\nAnswer: 679219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**2 + 3*w + 28. Let v be b(-5). Calculate the common denominator of ((-3)\/((-204)\/5))\/(9\/v) and -109\/78.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 176290.\nAnswer: 2, 5, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14388347*b*d**3 - 14091*b*d**2 - 91*b wrt d.\nAnswer: -86330082*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 2*y - 8. Let w(f) = 7*f - 42. Let a(d) = d - 7. Let x(i) = 6*a(i) - w(i). Give n(q) + 3*x(q).\nAnswer: -q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 + 2*z**2 - z - 2. Let i be o(-1). Suppose -q + 2*q - 9 = i. Solve 4*p - p = -q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -134*d**2 + 609*d. Let f(m) = -8*m. Give f(g(w)).\nAnswer: 1072*w**2 - 4872*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2. Suppose -10 = -4*r + 4*s - 5*s, r = -2*s + 6. Suppose o - r*o + 1 = 0. What is k(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f**4 + 0*f**4 + 0*f**4)*(5*f - 5*f + 3*f).\nAnswer: 9*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 280176438?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 4*q**2 + q - 2. Determine j(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1, -16, -63, -152, -295, -504, -791?\n\"Answer: -2*z**3 - 3*z**2 + 6*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qyy when three letters picked without replacement from {q: 7, y: 5}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/6  (b) 0.4  (c) -5  (d) -2  (e) -1\/6  (f) 8\/9  (g) -23\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5029941 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g + 5*k - 15, 2*g - 12*k - 6 = -17*k. Let c = 22 + -64\/3. What is the fourth smallest value in c, g, -5, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r + 0*r + 2*r**2 + 2*r)*(5 - 5 + 6).\nAnswer: 12*r**2 + 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 71560 - 50447. Suppose -21*y + 22*y - h = 10564, -2*y - h = -f. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/4, -2, -3\/4, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-14))\/((161\/98)\/(-23)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from xrxnuuxduxsux.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2218 - 1742 = 18*g. Let m = g - -224. Solve -2*n - m*x = 26, -3*x + 13 = -7*n + 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 (base 16) in base 5?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -134*f + 2979. What is the hundreds digit of d(-34)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 0 - (-7 - (-10 + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 42972557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 343*g**2. Let i(j) = 2698*j + 2701*j - 5389*j. Determine h(i(n)).\nAnswer: 34300*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o\/o**(1\/48))*o)**(-20) assuming o is positive.\nAnswer: o**(-245\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 21) + (18 - 1 - 2 - 16)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, -3, -1, -4 in ascending order.\nAnswer: -4, -3, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -6*j**2 + 137*j - 70. Give s(22).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 33 + 3. Let l = 60 - t. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000660326 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 2370 divide 31262670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 205471130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2107 + -1270. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 2*a - 3. Suppose -5*v + v + 8 = 0. Let g(u) = -3*u + 2*u + 3*u - v. Let c be (-1)\/(-3) + (-20)\/6. Determine c*g(f) + 2*h(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the third derivative of -y**4\/12 + y**2. Let k(p) = -2*p - p + 2*p + 2*p. Let w(t) = t**2 + 3*t. Let c(q) = -3*k(q) + w(q). What is a(c(g))?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = 33 - 48. Suppose -5*t = c - 132, 0 = -i*t + 6*t - 4. What is the remainder when c is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes after 6:14 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*v + 86 = 36*v + t, 0 = -5*v + 4*t + 241. What is the least common multiple of v and 84?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3b5 - -201?\nAnswer: -1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 139*y - 156*y - 78235 + 78250.\nAnswer: -17*y + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/((-20)\/(-3))*-5. What is the tens digit of k\/4 + (-129)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 12*h - 7. What is the remainder when f(7) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 76\/33 and -37\/116097?\nAnswer: 1277067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**3 - 13*t**2 - t + 11. Let f be v(13). Let i be (-3)\/(-3 - f - 0). Sort 0.1, -2, i in descending order.\nAnswer: i, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(363) + 1) + (sqrt(363)*-1 + -1 - sqrt(363)))**2*-6*-3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*f + 4*w - 2, 3*f = -2*w + 11. Suppose -4*l - 14 = -5*u, -5*u = -2*l - 15 + f. Solve 2*r - i = 7, -5*r + 10 + 8 = -u*i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -71471 + 164392. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 1. Let o(r) = r + 5. Calculate 2*o(p) - 6*y(p).\nAnswer: 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a + 2*a - a**3)*(4 - 5 + 0) + (-23*a**3 - 11*a**3 + 23*a**3)*(-2 + 7 - 3).\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -26171007 divided by 1?\nAnswer: -26171007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*p - 1256 - 184. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ibjl when four letters picked without replacement from {l: 5, b: 3, h: 1, i: 2, j: 1}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 + -29)\/2760*-8.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (9 - -1) + -2 - 4. What is the first derivative of -79*x + 35*x + 8 + 5*x**f + 44*x wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 551*d + 569*d - 2252*d + 550*d + 562*d.\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-14 + 10 - (-2)\/(-2))*(-2)\/5. Let 1\/2*w**5 - 3\/4*w**4 + 0*w - 3\/4*w**3 + 0 + 1\/2*w**b = 0. What is w?\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 4*s**2 - 5*s + 81. Let n(y) = -5*y**2 + 4*y - 79. Determine 3*k(p) + 4*n(p).\nAnswer: -8*p**2 + p - 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**3 - 5*i**2 + 2*i + 12. Suppose -4*n = 2*b + 22, -4*b - 2*n - 23 = -n. Let q be o(b). Solve j - 3 + q = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 20 = 5*i, 3*u = i - 0*u - 8. Let q(d) = -2*d - 10*d**i + 11*d**2 + 2*d. Let a(b) = -14*b - 15*b - 13*b + 41*b. Give q(a(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1443 = 6*t - 43*t. Let n(q) = 9*q**2 - q + 1. Let y be n(-2). Are t and y non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 2 m when four letters picked without replacement from {m: 5, o: 2, c: 2}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 140, 5, -8, 0, 3, -3, -96.\nAnswer: -96, -8, -3, 0, 3, 5, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 473227*z**4 + 4*z**3 + 194*z**2 - 7664*z - 16508?\nAnswer: 5678724*z**2 + 24*z + 388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3510 and 102492?\nAnswer: 512460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 368369 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -x - s, 11057 = -x + s + 11062 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.12?  (a) 1.28  (b) -2  (c) -2\/13  (d) 0.2  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3266 + 3262. Sort -1.8, -39, r in increasing order.\nAnswer: -39, r, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -10*3 - (-1 - 0). Let v = -29 - a. Solve 4*u - u = v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-880)\/(-90) + 2\/9. Calculate the greatest common factor of f and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 equal to 866\/317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1809, -1811, -1813, -1815, -1817, -1819?\nAnswer: -1821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1880 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11767 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*r - 2147*r**2 - 318*r**2 + 30*r - 72*r - 6*r.\nAnswer: -2465*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 192602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1000 + 12?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 - -c5?\nAnswer: c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -43*v**2 + 9*v - 9. Let r(n) = -19*n**2 + 4*n - 4. Let l(s) = 9*r(s) - 4*y(s). Let h be 0 - -2 - (2 - 2). Let b(c) = -h*c - 6*c + c. What is l(b(f))?\nAnswer: 49*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 20 = 4*t + 288, -2*z = 8. Let a = t + 12. Is (94\/(-4))\/(4\/a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5\/99, 0.2, 0.022, 13 in decreasing order.\nAnswer: 13, 0.2, 5\/99, 0.022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 119819*w**3 - 2*w + 119832*w**3 + 2*w - 239662*w**3.\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the second derivative of l**3\/3 + 3*l. Let q(k) = -k**3 + 7*k**2 - 6*k + 2. Let f be q(6). Let d(a) = -5*a**2 + a**2 + f*a**2. Determine d(i(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-108)*-24*-18?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 868*t**4 + 440282*t**3 - 440282*t**3 + 2007*t wrt t?\nAnswer: 10416*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4492 and 87594?\nAnswer: 175188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 114 = 6*r + 108 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 6 = -2*n. Let o be n\/1*4\/28. Put 2, o, 0.1 in decreasing order.\nAnswer: 2, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -5  (b) -24  (c) 1\/3  (d) 1275  (e) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-28*y**2 - 32*y**2 + 37*y**2)*(-9*y**3 - 183*y**2 + 183*y**2) - y**5 - 6*y**3 + 6*y**3.\nAnswer: 206*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 206643 * 9.6.\nAnswer: 1983772.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16405 = 521*q - 2859 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.028621467 rounded to four dps?\nAnswer: 0.0286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1726784662?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.054+2056\nAnswer: 2055.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -313281.7 + 313282. Let g = -21 - -85\/4. Which is the second biggest value?  (a) g  (b) 4  (c) 5  (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3579, -3581, -3583?\nAnswer: -3585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the second derivative of 1871*n**3\/6 - 241*n**2 + 2107*n. Find the first derivative of r(m) wrt m.\nAnswer: 1871","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5.9876329 times -3\nAnswer: -17.9628987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g + 4*g + 5*w - 14940, 4*w = -g + 14943. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6101 + 3\nAnswer: 6104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) -3  (b) 1  (c) -23  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.00719 + 0.20719. Sort 4, 0, 17, h, 2\/13 in increasing order.\nAnswer: 0, 2\/13, h, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1490 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = g - 42, g - 16 = -t + 3*g. Suppose -t = -6*m + m. What is the derivative of 5*s - m*s - 3 + 5 wrt s?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-6)\/2)\/3*0. Suppose -2*z = 3*y, 3*z + 2*y + 2*y + 2 = l. Is -7 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10.9 times 11\nAnswer: -119.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 3*l + 4. Let u(b) = -b**3 + b**2 - b - 3. Let v(s) = 2*s**3 - s**2 + s + 4. Let y(g) = 4*u(g) + 3*v(g). What is the tens digit of y(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 7684*y + 6201. Let o(c) = -46102*c - 37211. Let g(w) = 13*d(w) + 2*o(w). What is the derivative of g(x) wrt x?\nAnswer: 7688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 9\/17920?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-23)\/207*9\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -520 + 523. Find z such that 10\/21*z**4 + 2\/7*z**k - 2\/7*z - 2\/3*z**2 + 4\/21 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 44182, 44184, 44186, 44188?\nAnswer: 44190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 24\/5, 4\/5, 0.4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of 2*t**3 + 56*t - 5\/2*t**2 - 37. Find the first derivative of p(x) wrt x.\nAnswer: 12*x - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 4379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*w + 12 = 10*w. Let n be (8\/((-5)\/(-5)))\/w - -13. Which is bigger: n or 84\/11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-1 + 0 + sqrt(567))*-3)**2.\nAnswer: -4050*sqrt(7) + 127800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 0.5, 0.2, -118\/5, 0.02, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h\/(h**(-2\/51)*h*h)*h*h)\/h)\/(h\/(h\/(h*h**(-2\/5)*h)))*(h**(2\/21)\/h)\/(h*h*h\/(h*h**(-2\/27)\/h)) assuming h is positive.\nAnswer: h**(-72929\/16065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -14*f**2 - 28*f + 35. Let t(j) = -41*j**2 - 82*j + 122. Calculate -4*t(b) + 14*z(b).\nAnswer: -32*b**2 - 64*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -113\/18 and 19\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**3 + 6*m**2 - 3*m - 9. Let g be (1 - 0)\/((-10)\/60). Let b be x(g). Calculate the smallest common multiple of (-32)\/6*b\/(-6) and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 14 = -3*z. Let l(p) = 148*p - 90. Let y(s) = -67*s + 41. Let h(j) = -5*l(j) - 11*y(j). Let m(w) = -2*w. Calculate z*m(a) + 3*h(a).\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 585778103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 200\/(-270) - 50\/(-75).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 725*y**6 + 31480*y**5 + 17*y**2 + 16*y + 615 wrt y.\nAnswer: 87000*y**3 + 1888800*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -3\/8, 25.77, 1.2, 0 in ascending order.\nAnswer: -3\/8, 0, 0.4, 1.2, 25.77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -11893939908173 + 2.\nAnswer: -11893939908171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -31 - -57. Let g(o) = -o**3 - 15*o**2 + 324*o + 4. Let k be g(-27). Sort 0, t, k.\nAnswer: 0, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - -1 - ((2 - -24) + -142 + 139)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1*(-3 - 0)*(11 + -16). Suppose -9*n + 21 = -j. Let a(w) = 6*w**3 + 2*w + 1. Let g(i) = i**3. What is n*g(y) - a(y)?\nAnswer: -2*y**3 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:01 AM and 8:16 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/722982 and -26\/113367.\nAnswer: 38318046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18, -38, -84, -168, -302, -498, -768, -1124?\nAnswer: -1578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 45901080 and 240.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.8 + -3. Suppose 2*v = 3*p + 4, 5*v + 19 = 2*p + 7. Let x be (2\/p)\/((-10)\/(-8)). Sort s, x, 3 in decreasing order.\nAnswer: 3, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**4*p*p**(1\/6)*(p**(1\/3)\/p)**(-24)*(p*p\/p**1*p)**(-35\/4)\/(p\/(p\/p**0))**(-30) assuming p is positive.\nAnswer: p**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i = -0*i - 9*i - 102. Which is the closest to -12\/17?  (a) -1  (b) -5  (c) -2  (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8823627 is divided by 34200?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -24, 7690318, 0 in ascending order.\nAnswer: -24, 0, 7690318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 50543, 50655, 50843, 51107?\n\"Answer: 38*k**2 - 2*k + 50507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1571*z**3 - 967*z**3 - 302 - 877.\nAnswer: -2538*z**3 - 1179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 171951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = v**3 - 39*v**2 - 20*v - 800. Let z be f(40). Solve -2*c + 10 - 16 = z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 576878217?\nAnswer: 3, 139, 1383401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -46, 253, 3\/8, 18.\nAnswer: -46, 3\/8, 18, 253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 8279070361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 123*p**4 - 33*p**3 + 75*p**2 + 15*p - 72. Let n(y) = -7*y**4 + 2*y**3 + y**2 - y - 1. Let k(j) = -l(j) - 18*n(j). Suppose k(d) = 0. What is d?\nAnswer: -5, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -0.4, 16, 2\/7, -31, 4 in ascending order.\nAnswer: -31, -0.4, 2\/7, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 464, 932, 1400, 1868?\nAnswer: 2336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 1  (b) -0.3  (c) -29.26  (d) 260\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**3 + 1170*y**2 - 22089*y - 23256.\nAnswer: 3*(y - 19)*(y + 1)*(y + 408)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (15 - 10 - (6 - 4)) + -20.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 106*a + 65*a - 8190 = -219*a for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**2 + 41*u + 95. Let i be n(-39). Calculate the highest common factor of 731 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (21\/9)\/((-3)\/(-9)). Suppose 8*n - k*n = 5. Suppose 2*i + 32 = 4*s, 0*s - 3*s - n*i = -37. What is the greatest common divisor of 45 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*12*2\/96.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 + 6*d + 4. Let s be l(6). Let r be (-14)\/(-4) - 2\/s. Suppose -r*f - 64 = -2*v - f, v - 2*f - 29 = 0. List the prime factors of v.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1424 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.18 in -0.5, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (38 + 146 - 207) + (-3 - (-61 + 3))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-3))\/(8*(-6)\/288).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 14 = -2*k, -5*r = -2*r - 6. Does 17 divide 2\/k*(-3 - -105)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42 = m + 6*m - 805*l + 807*l, -3*m - 3*l + 33 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*o - 3*o - 24. Suppose 5*s + 4*d - o = 0, -3*d + 6 = -s + 6*s. Suppose s = 4*w - 21 + 13. Solve 2*t + 3*n = -w*t - 24, 4*t = -n - 16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11000100000100 (base 2) in base 9?\nAnswer: 18182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 960*a. Let f(p) = -2*p**2. What is f(n(x))?\nAnswer: -1843200*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 8, 4, -1 in increasing order.\nAnswer: -1, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7221*m**5 + 129*m**3 + 318*m**2 - 6*m - 740 wrt m?\nAnswer: -433260*m**2 + 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 57 + -39. Let t be (-1 - 2) + 1 - -4. Suppose 3*z - 4*z = -t*c - k, 4*c = -20. What is the greatest common divisor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, 5, 61, 199 in ascending order.\nAnswer: 5, 11, 61, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 196929753?\nAnswer: 3, 919, 71429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.67 - -1.3. Let x = 0.03 + a. What is the third smallest value in 0, x, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13.61 - -12.61. Suppose -2*d + 5 = -3*d. What is the second smallest value in 2\/117, d, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 39 + -20. Let n = -15 + p. Solve -2*y = -n*w - 2, w + 0*y + 8 = -2*y for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52 + 49 - 135 + 34 + 90*t.\nAnswer: 90*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 3*u + 74, -3*u - 136 = -4*g - 0*u. Let o = -21 + g. Calculate the remainder when 28 is divided by o\/(-25) - (-104)\/10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -10*j. Let p(s) be the first derivative of s**6\/360 + s**3 - 13. Let y(b) be the third derivative of p(b). What is y(i(m))?\nAnswer: 100*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37218?\nAnswer: 2, 3, 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (11134\/12013)\/((-3)\/(-123))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 254 is divided by 230.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (186 + 0)*(-12)\/(-8). Suppose h + 2*h - 3*x = 165, 5*h = 3*x + z. Solve 0 = 54*k - h*k + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 112391 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -29*z + 34*z - 5, -z - 47 = 3*p. Let y(h) = 3*h + 22. Determine y(p).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 75\/2 of a hour?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000197615 to seven dps.\nAnswer: 0.0000198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + v + 5 = 0. Let x be -2 - -2 - (0 + v). Suppose -x*s + 54 = 9. Solve -4*a = -11 - s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (12\/(-20))\/(1\/(-5)). Suppose b*j - 759979 = -k + 2300019, 0 = k + 2. Round j to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 42 (base 5) to base 15\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/32 and 45\/22?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 80\/(-15)*60\/80?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 262*s**3 - 274*s**3 + 15*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -41 + 51. Let s be (-25)\/c*18\/(-15). Solve p = 4*p + s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -297, -237, 537, 2379, 5643, 10683, 17853?\nAnswer: 27507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*p**2 - 12*p**2 - 8*p**2 - 13*p**3 + 13*p**2 - 6*p**2.\nAnswer: -13*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + u = -7, 4*u + 12 = -6*f + 10*f. Solve -4*j + 14 = -f*k, 7*k = 4*j + 2*k - 23 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -8c5c9 - 3?\nAnswer: -8c5cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 86, 88, 92, 98, 106?\n\"Answer: j**2 - j + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(1\/2 + 0). What is the common denominator of v\/(-8) - (-68)\/(-6) and 177\/(-9)*3\/(-18)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*l - 2*l. Let n(z) = 7 + 2*z**l - 7. Let b(x) be the second derivative of 2*x**4\/3 - x. Determine n(b(k)).\nAnswer: 128*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 132 divide 1625945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 255 + 16. Let a = i + -1. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -363221, -726439, -1089657, -1452875, -1816093?\nAnswer: -2179311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 60706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1445\/76 + -366\/19. What is the fourth biggest value in -0.3, 0.049, -24, l?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -157646, -315292, -472938, -630584, -788230, -945876?\n\"Answer: -157646*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 5*i = 5, 0 = -2*p - i - 2*i - 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8139831 is divided by 10449.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 22.37 + 9.63. Let u = 1844.28 + -1876. Let d = u + s. What is d rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -619*c - 32 - 2 = -617*c - 3*p, 11*c - 20 = -4*p + 39 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**2 - 123*q + 77. Let u be f(123). Put -2\/15, -0.4, u in decreasing order.\nAnswer: u, -2\/15, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 divided by -35\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -7*d**2 - 4*d - 3. Let w(z) = -4*z**2 - 2*z - 1. Calculate 3*p(k) - 5*w(k).\nAnswer: -k**2 - 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 136 is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u + 2. Let o(m) = 1. Let a(k) = 2*k + 12. Let i(w) = a(w) - 8*o(w). Suppose 13 = -2*f - 9. What is f*c(s) + 6*i(s)?\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 561407 to the power of 1\/2, to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) -13341  (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -19.06 and -14?\nAnswer: 266.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiiiiliyiyyyyiiyii. What is prob of sequence iil?\nAnswer: 55\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/39 and -145\/404689872?\nAnswer: 5260968336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20518720 is divided by 6839556?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 60097 to the power of 1\/2, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 + -17. Let d(k) = k**3 + 10*k**2 + 16*k - 1. Let x be d(i). Is (-3)\/x + 151 + -4 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 11\/2  (b) 27  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 4*h**2 - 16*h - 4. Let t(w) = 8*w**2 - 33*w - 9. Let l(k) = 9*j(k) - 4*t(k). Solve l(s) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wuaaauwwuuwauuuw. Give prob of sequence aua.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 29692*k**3*u + 8*k**3 + 2*k**2*u + 11*k**2 - 20820121*k*u + 5*k - 2*u wrt k.\nAnswer: 178152*k*u + 48*k + 4*u + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.68 - 0.623. What is t rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -28686, -57506, -86326, -115146, -143966, -172786?\n\"Answer: -28820*l + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*d + 2*a, 5*d - 322*a = -320*a + 29. Solve 4*c - 5*b + 10*b = -55, -d = b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14643072 divided by 406752?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**3 + 28*x**2 - 134*x - 391. Is 3 a factor of p(-31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes before 7:12 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**3 + 6*g**2 + 5*g + 5. Let x be w(-6). Let b = -9 - x. Calculate the lowest common multiple of 18 and (-2)\/8 + 132\/b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -3 + 19*h + 219*h**2 - 4 - 20 - 64*h**2. Let a be u(9). Let s = 177899\/14 - a. Find the common denominator of -97\/12 and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.6 - 1.3. Let b = u - -0.5. Let i = -32\/45 + 10\/9. Put 0.1, b, i in decreasing order.\nAnswer: i, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 898328727 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*i = -312*i + 2943. Let b be (2 - 3) + 1496\/2. What is the greatest common divisor of i and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 2*z + 9. Suppose 0 = 4*i + z + 7. Sort i, -1, 3 in ascending order.\nAnswer: i, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 370 divided by 146667?\nAnswer: 370\/146667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 plus 1618332115717?\nAnswer: 1618332115708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*z - 10 - 37 - 29 = 4*k, 2451*z = 3*k + 2453*z - 13 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f**3 - 3*f**2 + 3*f**2 + (4*f - 2*f - f)*(2*f**2 - 3*f**2 + 0*f**2) - f - f**3 + f)*(f + 1 - 1)*(-3 + 3 - 1).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -224 + 239. Find the third derivative of 41*j**2 - v*j**2 - 74*j**5 + 22*j**2 - 108*j**4 - 5*j + 108*j**4 wrt j.\nAnswer: -4440*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j\/(j**3*j)*j**(-1\/5)*(j*j**(-7)\/j)\/(j**5\/j))**(19\/5) assuming j is positive.\nAnswer: j**(-1254\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:49 PM and 5:54 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 55*q - 75. Let u(b) = -57*b + 64. Give 6*c(h) + 7*u(h).\nAnswer: -69*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.057  (b) -3\/5  (c) -452\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7037940 (base 10) to base 13.\nAnswer: 15c5580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 213*v = 901*v + 47*v + 29400 for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(27\/6) - 1)\/(32\/16128*14)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*i - 5*n - 12 = -3*i, -i + n = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (1*(sqrt(2)*2 + -4))**2.\nAnswer: -16*sqrt(2) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**2 - 6*z. Let u(w) = -w - 6. Let h be u(-6). Suppose 5*x - 2*i + 20 = 0, -x + 0*x + 2*i - 4 = h. What is the units digit of v(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 204019 times 442.6\nAnswer: 90298809.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9906 and 1035682206.\nAnswer: 9906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/(-20) - (78 + 5937\/(-75))?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 936409*w**3 + 12*w**2 + 12*w + 32. Let z be y(-4). What is z rounded to the nearest 1000000?\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1633168690 to the power of 1\/3, to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 827070 is divided by 439?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -7  (b) 0.1473  (c) 1418\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -903, -1656, -2449, -3282, -4155, -5068?\nAnswer: -6021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-66)\/(-30))\/(9\/585). Suppose -2*l = -l + 4*r - 103, 0 = -l + 4*r + x. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 16510, 66029, 148560, 264103, 412658, 594225?\n\"Answer: 16506*t**2 + t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 973?\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 146*b - 2296 = 228*b for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {z: 2, l: 18}.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1364354, 2728878, 4093402, 5457926, 6822450?\n\"Answer: 1364524*l - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the second derivative of d**4\/12 - d**3\/6 - 2*d**2 + 16*d. Give r(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.7 - -3.1. What is the nearest to 1 in m, -4, 0.12?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q - 2*a + 363 + 848, -5*a - 708 = -3*q. Let i = q - 236. Let l = -112 + 197. Calculate the greatest common divisor of i and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve y + 5*x = -50 + 79, -94*y + 1322 = 2*x for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((2 - 2 + 1)*(-4*c**3 + 5*c**3 + c**3) - 2*c**3 + 4*c**3 - c**3)*(204 + 117 - 86)*(1 + 4*c - 1) to g*c + z + j*c**3 + q*c**2 + y*c**4 and give y.\nAnswer: 2820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the third derivative of 0*q + 0 - 1\/300*q**5 + 0*q**3 + 5*q**2 + 1\/120*q**4. What is k in h(k) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 470559676 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**3 + x**2 + x + 6. Suppose 5*a - 4 = 6. Let w = a - -1. Suppose o = -w*o. Determine b(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 559*r + 1280. Calculate a(-2).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 2*w = 3083 + 10632, 0 = -5*w - 25. Let r = m - 2024. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4787128*-1.43\nAnswer: 6845593.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 - (-4 - -1 - (-2 + (-22 - -25)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (3 + 7 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (8\/(-44))\/((-8)\/44) + 132. Calculate the highest common divisor of v and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -0*f + 36. Solve 2*s - 11 = -y - 4*y, f = -3*s + 4*y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and 0.448.\nAnswer: 0.1792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20 - 4 + 7)*(-17*q + 112 - 112) + 2*q + 2*q - 2*q.\nAnswer: -389*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.063 to 1 decimal place.\nAnswer: -6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 3*h**4\/4 + 30*h**3 + 1101*h**2\/4 - 306*h = 0.\nAnswer: -24, -17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (935\/34)\/((-10)\/2)*2*-1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -100 - -190. Suppose -p + w = p. Suppose -4*g + p = g. What is the lowest common multiple of 8 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-392))\/(158\/659808*174).\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -163513 (base 7) in base 12?\nAnswer: -16981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -5, -2, 13 in decreasing order.\nAnswer: 13, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**11*k)\/k**(2\/5)*(k\/(k*k**(-1)))\/(k*k*k**(-15)\/k) assuming k is positive.\nAnswer: k**(138\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j + 4*j = 2. Is 4 a factor of (j - 4) + 3 - -10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes before 10:11 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2935 - 93*v**4 + 42*v + 302*v**2 + 237 - 302*v**2 - 48*v wrt v.\nAnswer: -372*v**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9 + 83. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 4*y**3 + 13*y**2 - 6. Let a be p(-3). Suppose -u = -a*q - 7 - 10, u - 2 = 0. Let c = -0.05 - 2.95. What is the smallest value in 2, -0.5, q, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 - -8. Suppose 120 = -0*t + c*t. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tiscicsiiiiiiccig. Give prob of sequence stcc.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 301*w + 16 = 296*w - g, 0 = -w - 2*g - 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 625 divide 288704545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 105951.7 litres?\nAnswer: 105951700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, 0, -18173 in descending order.\nAnswer: 0, -2, -5, -18173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 2*m + 8*m - 6*m. Let c(b) = 4 + 2 - 2 + 2*b. Let s(g) = 4*g + 7. Let y(l) = -7*c(l) + 4*s(l). Determine y(j(r)).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*m + 124*m = -1680 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 36 + -12. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 3*v + 19 - 82 = 0, -3*v + 27 = t. Suppose -3*c - 2*c = t. Let l(h) = -7*h - 14. Calculate the smallest common multiple of l(c) and 1.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 80.06 - -1.94. Let a = 82.7 - b. Put -0.1, 5, a in decreasing order.\nAnswer: 5, a, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 110237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -189423.7 plus 7554.93?\nAnswer: -181868.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.04, 4, -57\/4, 65, -7\/6?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0025378 to four dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -28*120\/(-1540) + 69216\/(-8008)?\nAnswer: -84\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 - (-2 + -3) - (7 - 2). Let t be 15 + (-6 - f) + -1. Solve -2*r + 4 = -4*m, 5*m + 2*r = r + t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 52205.14ns to milliseconds.\nAnswer: 0.05220514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 269*l**3 - l**2 - 4*l*p**2 + 30*l*p - 9607*p**2 + p + 2 wrt l?\nAnswer: 807*l**2 - 2*l - 4*p**2 + 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(5324) - sqrt(5324))*-5 - sqrt(5324))\/(-5*-5*sqrt(4)*-2).\nAnswer: -99*sqrt(11)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21)\/6*(6 + 824\/(-140)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 + -1. Calculate the common denominator of 142\/(-36) + 104\/208 - 3 and l - ((-159)\/(-24) + 0).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17383, 69528, 156437, 278110, 434547, 625748?\nAnswer: 851713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + 1 + 1)**2 + (sqrt(132)\/sqrt(3))**2.\nAnswer: 4*sqrt(11) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 32136 + -31909.41. Round s to the nearest integer.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21714333?\nAnswer: 3, 127, 56993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -193360 or -193361?\nAnswer: -193360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 1760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 9) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/576*2*20?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120 = 423*h - 435*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) 1178  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28860\/270 - (68\/48 - 1)\/((-9)\/24).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -542 - -531. What is the closest to 0.1 in -2, 5, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, t: 2, d: 1}. What is prob of picking 1 d and 1 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 48\/7 of a week?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-7128)\/(-726))\/18)\/(-6).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5377734 is divided by 19275?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is g in g**3\/7 - 11*g**2\/7 + 8*g\/7 + 20\/7 = 0?\nAnswer: -1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 33*t - 18. Let n be u(5). Suppose 0 = -7*r - n + 7. Let j be 2 + ((-64)\/r)\/(-2). Which is greater: j or 2\/11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -76 + 77. Which is the closest to -0.3?  (a) o  (b) -4  (c) 3  (d) 3.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 43, 32, 9, -26, -73, -132?\n\"Answer: -6*v**2 + 7*v + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 294643.\nAnswer: 47, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 423868443 divided by -14753\nAnswer: -28731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-36)\/30*(2 + (-12)\/(-1 - -2)). Solve -36*h = -n*h - 72 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-102)\/(-255) - (0 + 184\/10). Which is the fourth biggest value?  (a) 0.1  (b) x  (c) -0.5  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the first derivative of -3*f**2\/2 - 34*f - 7. Let d be a(-12). What is the third derivative of -3*y**5 - 17*y**2 - 2*y**d - 29*y**5 wrt y?\nAnswer: -1920*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w\/w**(-3)*w)*w**4)\/((w\/(w*w*w\/(w\/w**(-1))*w)*w)\/w)**(2\/45))**26 assuming w is positive.\nAnswer: w**(52\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -514, -1028, -1542, -2056, -2570?\nAnswer: -3084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.2 and -5161.098.\nAnswer: -5161.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 8*z**3 - 3*z**2 + 3*z - 8. Let r(t) = -6*t**3 + 2*t**2 - 2*t + 9. Determine -2*q(d) - 3*r(d).\nAnswer: 2*d**3 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -6 divided by 7\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 401254.\nAnswer: 2, 7, 28661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 29 = 23. Let w(u) = -7*u - 6. Calculate the remainder when w(-4) is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -75*n**3 - 4*n**2 - 7*n + 7. Let l(q) = 38*q**3 + 2*q**2 + 3*q - 3. What is -3*c(u) - 7*l(u)?\nAnswer: -41*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 320\/187 - 26\/17. Let p = 0.537 + -0.037. What is the biggest value in g, -0.4, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -129018*v**3. Let y be s(-1). Let i = -67018 + y. Round i to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 10 = -5*n, 3*n = -2*c + 1 - 0. Suppose z = -4*z - 30. Is (-38)\/z - 2\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 2, -0.7, 1\/5, -33331, 2\/9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(405)*-2)**2 + 1.\nAnswer: 180*sqrt(5) + 1646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 47061154 and 168?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/11 + ((-109261)\/2849 - -37)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**3 + 6*b**2 - 7*b + 6. Suppose 2*o - 96 = 5*o. Suppose 6*n + 21 = -d + 9*n, 5*n + 37 = -d. Let q = d - o. What is h(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 2*u + 2 = -15, -3 = 3*u. Suppose -3*f + 6 = 4*s - y*s, s + 8 = 4*f. Suppose 0 = -s*v - 5*v - 20. Which is greater: v or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*x - 16*x + 30. Is x equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the third derivative of q**7\/105 + 31*q**6\/180 - 259*q**5\/135 - 67*q**4\/9 - 280*q**3\/27 - q**2 + 355. Find i, given that o(i) = 0.\nAnswer: -14, -2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kzkkz. Give prob of picking 2 z and 2 k.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 14 = -39. Suppose w - 6*w - 10 = -5*p, 0 = p - 5. Let o = w + f. Sort -1, 5, o.\nAnswer: o, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1900\/9 in 0.4, -33, 2?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -5*-6.78\nAnswer: 33.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 10 = 2. Suppose -2 = 3*g + n, 22 = g + g - y*n. Suppose 5*w = 6*k - 14, -4*k + 51*w = 49*w - 12. Solve -k*p - 17 = -g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -117\/19120 and 79\/100240?\nAnswer: 23957360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4776 = 4*k - 3*t, 2*k = -t + 245 + 2133. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -45600 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -309*t. Let s(f) = 162*f**2. Determine s(d(q)).\nAnswer: 15467922*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (266*c - 266*c - 5*c**2)*(c**3 + 4*c**3 - 3*c**3).\nAnswer: -10*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 46.33534 weeks?\nAnswer: 28023613632000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**2 + 103859*r + 726971. Determine a(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10022 (base 3) to base 6.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13 and 988?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(832) + sqrt(832) + sqrt(832)*-1 + 3 + 2 + sqrt(832) + 0)**2 + ((sqrt(832) - (sqrt(832) + 1*sqrt(832)))*2 - (5 + 1 + sqrt(832) - sqrt(832)))**2.\nAnswer: 352*sqrt(13) + 6717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 4:05 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1036 and 224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1051611 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 154*s - 113160 = -2675*s for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let g be 0*(-9)\/90 + 4. Let p(a) = -4*a + 1. Calculate p(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -134, -151, -170, -191, -214?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -3*z - 3 - z**2 + 9 - z + 5*z. Let k be m(0). Let v(w) = 4 - k + w + 2. Calculate v(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(3\/5)*(p*p**(-1\/9))\/p*((p*p\/p**1)\/p)**(-13))\/((p\/(p**(4\/5)*p)*p**(-1\/4)*p)\/(p**(-2\/7)\/p**(-2\/3))) assuming p is positive.\nAnswer: p**(1159\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*w - 16 + 16 + (-1 + 2 + 1)*(-2*w - w + 4*w) + 0*w + 0*w + w)*(-1 + 1 - 2*w**3) as z + m*w**2 + l*w**3 + a*w**4 + h*w and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((280\/259)\/5)\/(12\/(-2)))\/(8\/12)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 12 = -3*s. Solve 3*i + 3 = -0*v + 4*v, 0 = 5*i + s*v - 24 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -239, -952, -2141, -3806?\n\"Answer: -238*n**2 + n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 5*a = -25 + 6, -4*a = 12. Let n(x) = x**2 + 112*x + 1027. Let m be n(-10). Solve -v - o = -m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the second derivative of -1\/2*x**2 - 1\/3*x**3 + 0 + 3*x + 1\/4*x**4. Determine y(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0032283642 to 5 decimal places.\nAnswer: 0.00323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a + 4*u + 24, -3*a - 2*a - 5*u - 45 = 0. Let p = a + 16. Suppose -p*q + 15*q = 1535. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - 8)*(-2)\/(-4). Let y = 3 + d. Put -5, y, -2 in decreasing order.\nAnswer: y, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -584 + 609.9. Let f = x + -26. What is the third smallest value in f, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 590.1798ml to litres.\nAnswer: 0.5901798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -a + -f2fd?\nAnswer: -f307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 416560 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 707 - 440. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of -146*m**3\/3 - 6*m**2 - 6*m + 534. Find the second derivative of j(r) wrt r.\nAnswer: -292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in eleven quarters of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -8. Let x(u) = 11*u + 65. Let r(p) = 6*v(p) + x(p). Let b(i) = 5*i + 8. Give -7*b(j) + 3*r(j).\nAnswer: -2*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 15, 325, -1997, 0 in descending order.\nAnswer: 325, 15, 0, -5, -1997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * 2.8.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -46 divided by 10291.\nAnswer: -46\/10291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 129612\/140413 - (-347)\/(-52)?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the second derivative of -2\/3*g**3 - 1\/10*g**5 + 1\/3*g**4 + 3\/2*g**2 + 8*g + 5. What is t(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 870037.7t?\nAnswer: 870037700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 190453 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + -21)*(-246)\/2009*7.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 2  (b) -4  (c) -1  (d) 15.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20211200 - 12201000?\nAnswer: -110112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 12*b - 19. Let p be n(-31). Let r = 445 + p. What is the highest common divisor of r and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**2 - d - 5. Suppose -5*k + 220 = 185. Calculate t(k).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85512218.\nAnswer: 2, 11, 3886919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 25 - -867?\nAnswer: 88c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**2\/11 - 62*m\/11 - 60\/11.\nAnswer: -2*(m + 1)*(m + 30)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -200352.9 rounded to the nearest 10?\nAnswer: -200350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -592 + -26?\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = -2*v + 4*i, 3*v - 6271*i - 75 = -6270*i for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 131103 + 210211?\nAnswer: 1001320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c + 1. Let s(a) = -a**2 - 2*a + 2. Let v be s(-3). Let f(g) = 2*g**2 + 6*g - 6. Let z(l) = v*f(l) - 6*p(l). Let i(w) = 2*w. Give i(z(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 190 a factor of 937202360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 2*s**2 + 129. Let a(h) = -2*h. Determine a(d(o)).\nAnswer: -4*o**2 - 258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1260471*d**2*z + d*z + 7626*d - 3 wrt d?\nAnswer: 2520942*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4.813 - 4.513. Sort q, 18\/5, -3 in ascending order.\nAnswer: -3, q, 18\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 8*m**2 - 17. Let u(i) = -5*i**3 - 163*i**2 - 92*i + 77. Let d be u(-32). Let w(r) = -r**2 + 2. What is d*w(p) - 6*s(p)?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -37180 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -44.57 + 249.\nAnswer: 204.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 79*q**2 - 9293*q. Let i(s) = 3*s**2. Determine m(i(w)).\nAnswer: 711*w**4 - 27879*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (113 - -2)*8\/(-20). Suppose -408*i + 30 = -423*i. Let j be i - 120\/(-66) - w\/11. Let d(m) = -m**3 + 4*m**2 + 5*m - 6. What is d(j)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40940140547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -44*x - 2. Let d(a) = 5*a - 1. Let w(r) = -6*d(r) - h(r). What is w(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.026 - 0.09. Let c = -0.164 - f. Suppose -2*a + 25 = -7*a. What is the nearest to c in 2\/3, -1, a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 + -4. Suppose -4*d - v - 2*v + 7 = n, 2*d + 5*v + 7 = 0. Factor -5 + 0*z - 2*z**2 - d*z + 3.\nAnswer: -2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 177 and 825351?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 57, 227, 507, 897, 1397, 2007, 2727?\n\"Answer: 55*i**2 + 5*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47925759 is divided by 640.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes before 7:33 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1014 by -114.\nAnswer: 169\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67*t = -30*t - 1258. Calculate the remainder when 880 is divided by t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14811456 and 408.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.8 - 35773\nAnswer: -35772.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 269 - 250?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-235)\/(-3))\/((-1)\/(4 - -32)). Let g = 638529 - 3178589\/5. Let v = g + r. Calculate the common denominator of v and 67\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/314 and 85\/48.\nAnswer: 7536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**4\/4 - 5*w**3\/2 + 33*w**2\/4 - 10*w + 4.\nAnswer: (w - 4)**2*(w - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6173, -12454, -18841, -25334, -31933?\nAnswer: -38638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12\/7, 0.3, -4, -2\/17, 2, 1.\nAnswer: -4, -12\/7, -2\/17, 0.3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 7*s**3 - 44*s**2 + 11*s + 3. Let d be j(6). Which is bigger: 1\/2 or d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 4*t - 84 = 0, 0 = -6*v + 8*v + 3*t - 57. Suppose -v*h - 5*h = -116. Suppose -2\/7*q**5 + 0*q**2 - 2\/7*q**h + 0*q + 0*q**3 + 0 = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 106*q - 425. Calculate o(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8800.245 decades to centuries.\nAnswer: 880.0245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 149\/66 and 9\/2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4142 + 6982. What is c rounded to the nearest one hundred?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -19272 - -27274. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 334649*w**5 + 8*w**2 + 2*w - 6015.\nAnswer: 20078940*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13\/4 + 27\/4. Suppose 4*m = 5*m - 4. Factor 0 - o*g**3 - 3\/2*g**5 + 0*g + m*g**4 + g**2.\nAnswer: -g**2*(g - 1)**2*(3*g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2040064.05199707 + 2040064. Let c = 0.052 + w. What is c rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*i**4*r + 10170*i**4 + 25043*r wrt i.\nAnswer: -8*i**3*r + 40680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 30, -2\/3, 8, -1 in decreasing order.\nAnswer: 30, 8, 1, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v - 4*v + 0*v)*(-v**4 + 5*v**4 + 3*v - 3*v**4).\nAnswer: -2*v**5 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13 + 172\/13. Which is the closest to -1\/4?  (a) x  (b) -4  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 77740, 155494, 233248, 311002, 388756, 466510?\n\"Answer: 77754*x - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1255651669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange t - 3 + 2*t**3 - 4*t**2 + 5 + 4*t**2 to m*t**3 + f*t + b + w*t**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 + -1. Let q be (-3 - -2)*(1 - -1). Which is the biggest value?  (a) t  (b) -5  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -32*y**2 + 601*y + 93. What is n(19)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the third derivative of 0*n**3 + 0 + 1\/30*n**7 + 0*n**6 + 1\/60*n**5 - 7*n**2 + 0*n**4 + 0*n. Find the third derivative of m(x) wrt x.\nAnswer: 168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(-3))\/((k**(-1)\/k)\/k) assuming k is positive.\nAnswer: k**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 20*h**3 - 4*h**2 - 1. Let r(q) = -q**3 + 4*q**2 - q + 1. Calculate 2*p(j) + 2*r(j).\nAnswer: 38*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -10112210 (base 3) to base 7\nAnswer: -10353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 23*m + 38 - 153. Solve -4*w + 2*y = 10, 3*w - 2*y - 14 = m*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 + 8 = 4*v. Suppose -3*u = -5*y + v, 0 = -4*y - 3*u - 0*u + 28. Solve -2*s + s + 3*d = 18, 0 = 2*s + y*d - 14 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -4*o + 17. Let x be z(4). Let a be ((-4)\/(-3))\/x*(-12)\/(-8). Solve a*i = -4 - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the first derivative of a**4\/2 - 2*a**2 - 4*a - 6. Let i(z) = -2*z**3 + 3*z + 3. Calculate 4*i(j) + 3*n(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 94 a factor of 8568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 6*t = 0. Suppose -d + 3 = -3. Suppose 0 = -2*a - 4*j - 2, t = -d*a + a - 2*j + 3. Which is smaller: 0.09 or a?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 10\/4 - 10\/20. Solve -z - 3 = -f*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -89 - -238. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d + d - d)*(-d + 3*d - 3*d)*(-6231 + 1229 - 10894 - 1765 - 5903).\nAnswer: 47128*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 2\/((-14)\/(4\/2))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 59309, 107822, 156335, 204848, 253361?\nAnswer: 301874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 + -146?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 2*k = q, 5 = 3*q - k. Let n(z) = -75*z**2 + 2*z - 2*z + 62*z**q. Let m(h) = h. Determine n(m(w)).\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 0, -k = 5*u - 2*u + 3. Let o = -127 + 128. What is the nearest to o in -0.3, -0.2, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**21*r**(-14) assuming r is positive.\nAnswer: r**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -25*k + 335. Suppose -n = -17 + 5. Let a be w(n). Solve i = -6*i - a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1112667*a**3 + 8*a**2 - 3*a - 141874492.\nAnswer: -3338001*a**2 + 16*a - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/3)\/(25\/600).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) -0.46  (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.12 and 29861357.\nAnswer: 29861357.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1493 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((-2*2*sqrt(612))**2 + -1 - ((sqrt(612)*-2 + -4)*6)**2)*4.\nAnswer: 55296*sqrt(17) + 1262608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -18860*q**2 + 47518*q wrt q?\nAnswer: -37720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 111 = -5*l, 5*z = 3*l + 388 + 79. Suppose 2*t - 4*c - 70 = -t, -4*t + 3*c = -z. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-132)\/220)\/(54\/(-40))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**3 - 19*b**2 - 12*b + 46. Let a be g(-19). Let u = a + 19. What are the prime factors of u?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**2\/5 - 27896886*n\/5 + 64853020708083\/5.\nAnswer: 3*(n - 4649481)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -10000 (base 2) in base 14?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 42 + -74. Let u = o + 31.89. Let l = -1.89 + u. Which is the closest to l?  (a) -0.2  (b) -0.3  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2.6 less than or equal to 20715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4  (b) 0.2  (c) -1  (d) -21\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 14) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-4)*t**(-6))**(-6\/19)\/(t**(1\/4)*t*t**(-6)*t*(t\/t**(2\/3))\/((t**(3\/8)\/t)\/t)) assuming t is positive.\nAnswer: t**(2257\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/8 - 19\/4. Let m = -1.6162 + -0.3838. Let g be (-10)\/(-28) - (-2)\/(-4). Which is the third smallest value?  (a) m  (b) g  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**2 + 501*t - 24257. Calculate j(44).\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*k**3 + 6*k**2 - 2*k - 56 - 2*k**2 - 2*k**2 + 59 as h*k + i + b*k**2 + j*k**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 - -11. Let u(r) = 3*r**2 - 8 - 4*r**2 - r + 9*r. Let c be u(d). Let j(k) = -5*k**2 - 2*k - 1. Give j(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1\/10 + -3\/20. Let r be (10\/12)\/(-2 + 7). Sort k, r, -0.08 in descending order.\nAnswer: r, -0.08, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**2 + 7*w - 6. Let o be (-20)\/(-2) + (3 - 7). What is m(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 4*y - 1200, -5*y = -0*y + 3*i - 1499. Let k = -539 + y. What is the remainder when 31 is divided by (k\/(-7))\/(-1 + 3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.7 in -4, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 14*m - 2. Let o(t) = -3*t**2. Determine d(o(q)).\nAnswer: -42*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 97 divide 666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 169974.\nAnswer: 2, 3, 7, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 599888502 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1\/10*-5)\/(1\/(-18)). Solve 8*u - 15 = l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9173 times -0.1\nAnswer: -917.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 56519, 56245, 55935, 55571, 55135, 54609, 53975, 53215?\nAnswer: 52311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 570066586?\nAnswer: 2, 2699, 105607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t - 2*d - 44, 10*d - 7*d = t + 14. Let v(k) = -8*k - 100. Give v(t).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8370 - -8374. Sort -1.3, 1, -85, q in descending order.\nAnswer: q, 1, -1.3, -85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -3*f**3 - 55*f**2 + 20*f - 339. What is k(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 658*k - 578*k + 594 = -526 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**7\/(w\/(w\/((w*w*w**(7\/2))\/w)))*w**(3\/8)*w**(4\/3) assuming w is positive.\nAnswer: w**(101\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -27*n + 83. Let g be m(3). Solve g*t = 7*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12*b*x**3 - 3979*b*x**2 - 2*b*x + 6*x**3 - 2470 wrt b.\nAnswer: -12*x**3 - 3979*x**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9541\/4 + -2372. Let v = 231\/4 + -63. Find the common denominator of t and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 1 + (3 - 3) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*x**3\/4 - 61*x**2\/2 - 519*x\/4 + 783\/2.\nAnswer: -(x - 2)*(x + 9)*(5*x + 87)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 6529 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -v**4 + 267*v**3 + 12*v - 93257.\nAnswer: -4*v**3 + 801*v**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 510742362 divided by -255371181.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w**2 + 0 + 0)*(11*w**2 + 3*w**2 - w**2 - 5*w**2 + 4 - 4 + 0*w**2 + 2*w**2 - w**2 + (-9 + 9 - 7*w)*(-2*w + w - w)).\nAnswer: 23*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 245860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 274308 to the power of 1\/2, to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-13)\/18 + (-4)\/(-18). Let r be (1 - (-7)\/(-6))\/(3\/(-18)). Let y be ((-7)\/(-28)*r\/2)\/(-1). Put y, j, 0.5 in descending order.\nAnswer: 0.5, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the second derivative of g**3\/2 - 9*g**2\/2 - g. Let y be v(7). Let a = y + -7. Solve 22 = w - a*b, -4*b - 6 = -w + 6*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*k**2 - 3*k**2 - k**2 + (2*k + 1 - 1)*(-2*k + k + 3*k) + 2*k - 2*k - 2*k**2.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -2588*a + 742563. Give s(287).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 554901.\nAnswer: 3, 184967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.06?  (a) -3  (b) 0.04  (c) 2  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -3843*m**3 + 6*m**2 - 1. Let z be j(-4). Let u = -4215840 + 2389793. Let g = z + u. What is g rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(1\/5)*d**(-1\/3))**(-1\/14))**(-22) assuming d is positive.\nAnswer: d**(-22\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/2)\/(396\/99).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -136.6 to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*w**6 - 9*w**6 + 5*w**2 + 0*w**2 wrt w.\nAnswer: -360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes before 5:29 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 516*q - 511*q - 3*x + 41 = -278, 3*q = -5*x - 171 for q.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 + 17. Suppose -2*z + 4*f + t = 0, z + 4*z + 4*f = 11. Let q(p) = -z*p + 0*p**2 + 2 - p**3 - 2*p**2 - 4. What is q(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 2, -0.4, -1, -12.51?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -297222828, -594445661, -891668496, -1188891333, -1486114172, -1783337013, -2080559856?\nAnswer: -2377782701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -130451345 (base 6) in base 7?\nAnswer: -30510602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ommmmom. What is prob of sequence om?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 33436188197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2394 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20844\/38214*22\/136.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -27, -61, -115, -195, -307, -457?\n\"Answer: -t**3 - 4*t**2 - 15*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -879 (base 11) in base 4?\nAnswer: -100132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 987907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**2. Let f(u) = -13*u**2 - 3*u + 3. Let k(v) = -52*v**2 - 13*v + 13. Let o(m) = 26*f(m) - 6*k(m). Determine o(b(h)).\nAnswer: -26*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c**3 - 60*c**2 - 54*c + 116 = 0. What is c?\nAnswer: -29, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 15*d + 694. Let v be o(-30). What is the highest common factor of v and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the third derivative of -y**7\/105 + y**6\/30 - y**5\/30 + 90*y**2. What is a in i(a) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -3*g - 26. Put 1, -2, g in decreasing order.\nAnswer: 1, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**2\/5 + 3472*g\/5 - 6904.\nAnswer: -2*(g - 1726)*(g - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 3*l**2 - 14*l - 5. Let m be y(7). Find the third derivative of 14*t**2 + 12*t**2 - m*t**2 - t**6 wrt t.\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -86.9 - -82. Let i = 4.90000135 + j. What is i rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 61344\/189 + 2\/(14\/3). What is the highest common factor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**3 - 6*j**2 - 4*j + 9. Suppose -12*i - 32 = -16*i. Suppose x = 9*x - i. Suppose x = n - 5. Give z(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*k**2 + 3*k**2 - 2*k + k**2)*(2 + 1 - 4) as j*k + t*k**2 + b and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -5*c. Let r(p) = 7*p**2 + p. Let w(x) = 15*x**2 + 2*x. Let l(i) = -13*r(i) + 6*w(i). Give 5*l(n) - m(n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 6*r = 3. Suppose 4*p + w - 1 = 0, 3 - r = 2*w. Solve 2*y + 2*a + 2 = p, 5*y = -0*y - 2*a + 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2811 is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -579.31 - -581.31. Let q = 1 - 1.5. Which is the fourth smallest value?  (a) 1\/4  (b) q  (c) 0.03  (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the third derivative of -m**5\/30 + m**4\/4 + 7*m**3\/6 - 7*m**2 + 1. Suppose 4*h - l - 22 = 0, 0 = 2*h - 4*h + 5*l + 20. Give i(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50265?\nAnswer: 3, 5, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2126\/9 + -236. Which is the third smallest value?  (a) 5  (b) 0  (c) 17  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 88, 184, 290, 412, 556?\n\"Answer: w**3 - w**2 + 92*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 189213 - 48249254\/255. What is the common denominator of 49\/330 and v?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -354074 to the nearest 1000.\nAnswer: -354000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 4*g - 7*g. Suppose 5*n - 2*z - 29 = 0, n - 4*z - 3 = 2*n. Suppose -9*p + 25 = -4*p, -n*i + p + 5 = 0. Put -2, g, i in decreasing order.\nAnswer: g, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3297*a + 3281*a - 448 = 0. Which is smaller: 10 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (8*1 - 0) + 0. Suppose -15025*u = 3*v - 15027*u - 16, 4*u + 32 = -3*v. Solve v = -h + w - 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*u**2 + 205*u - 252150.\nAnswer: 5*(u - 205)*(u + 246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 3*c**2 + 3*c + 12. Let x(t) = t**2 + 2*t + 6. Let m be (-11)\/2 + 4\/8. Let w(h) = m*x(h) + 2*j(h). Let u = -5 + 10. What is w(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 16 + 17835*z**2 + 38*z - 33 - 17829*z**2. Calculate m(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6462000 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17 - -34. List the prime factors of z.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v - 52 = 15*v - 7*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes after 7:30 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000256375 to seven dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, s: 3, t: 8, l: 3}. Give prob of sequence lrr.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -4, 3, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t - 7 + 14. Suppose -23 = -5*s + y, y + 0 + t = s. Find the first derivative of -2*f**2 + 0*f - 2 + 4*f - s*f wrt f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -92*w + 18*w + 5 - 65*w + 5*w. Let d be k(-2). Round d to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/(-3))\/(10\/20*-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 + -2. Suppose 4*k - 3 = -s*v + k, -11 = -5*v + k. Suppose v*m + 2*h = h + 58, 66 = 2*m - h. List the prime factors of m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1, 8, -8769, 4 in ascending order.\nAnswer: -8769, -1, 0, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 117264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from djjjdjdjjdjjjj. Give prob of picking 3 d.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times 0.045?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 - (-11 + 5) - (12 - 21)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5\/6 in -15, 0.1, 47?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14014720\/103 + 970547029\/7931. Let p = -13692 - f. Calculate the common denominator of p and 895\/22 + 11280\/(-5170).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -382*v**3 + 12169*v**2 - 1325240*v?\nAnswer: -2292*v + 24338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/12*117\/(-3). What is the highest common divisor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qiqiiiiufuii. What is prob of picking 1 f, 1 q, and 1 u?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 918271020 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 3261 = 501. What is o rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -144533 = 64*o - 145045 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 167*d - 15. Let k be t(5). Suppose 0 = -5*f + 10*f - k. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*p + 156 = 29*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(-2)*t)\/t)**39\/(t**(-1\/3)\/t**(-22)))**42 assuming t is positive.\nAnswer: t**(-4186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y + 2. Let d be 3 + 0 + -4*3. What is o(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the second derivative of -2*c**7\/21 + 38*c**6\/15 - 58*c**5\/5 - 298*c**4\/3 - 682*c**3\/3 - 242*c**2 + 3*c. Factor p(l).\nAnswer: -4*(l - 11)**2*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, 0.12, 2\/7, 0.06?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 3*o - 0 - 2, 0 = 3*l - 5*o - 22. Suppose -9*j + 4*j + 80 = b, 3*b = -l*j + 284. Round b to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -21 - -21.09. Let p = -4.69 + d. What is p rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 3 - (2 + -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 25 - 35 = 0. Suppose 0 = 2*o + 7 - t. Suppose -5*z**3 + 5 + 0 - z**o - 1 - 3*z + 8*z - 3*z**2 = 0. What is z?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1007.959 - -959.5181. Let b = a + 48.730927. Let t = 0.29 - b. What is t rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rargyyyyaaa. Give prob of sequence yra.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*b**2 - 8*b + 8*b)*(-5 + 0 - 1 + (-2 + 0 + 1)*(-2 + 1 - 1)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(208) + 0)**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + 2)*(2 - 19\/10).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the third derivative of -g**4\/8 - g**3\/6 + 9*g**2. Let m be p(-2). Solve -33 = m*j + 2*c, 4*c - 10 = -2*j - 36 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1029617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 444297 = 4*h - 1141615. Let t = -12478 + h. What is t rounded to the nearest 10000?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3*1 + (-9)\/3. Let w be ((-9)\/27)\/(105\/54). Which is smaller: w or u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -4*p - 27. Let d(v) = 4*v + 28. Let b(h) = 4*d(h) + 5*o(h). Let t be b(-7). Solve 0 = -2*w + t*w - 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 782204599 a multiple of 6260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**3 + 60*f**2 - 1125*f + 2381. Give h(13).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 2*z - 9. Let q(d) = 3*d - 17. Give 7*m(r) - 4*q(r).\nAnswer: 2*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*s - 3*s - m, -3*s + 2*m + 9 = 0. Let d = 4 - s. Let o(n) = 3*n - 3*n + d*n**2. Let t(r) = -2*r. What is o(t(f))?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 683 (base 11) to base 15\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25555.9 litres to millilitres.\nAnswer: 25555900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - 6.1. Let j = -0.6 - s. What is the nearest to -3 in -2, 1\/4, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -14952, -29631, -44040, -58179, -72048?\n\"Answer: 135*l**2 - 15084*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**5 + 22*l**3 - 24*l**2 - 45*l.\nAnswer: -l*(l - 3)**2*(l + 1)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**3 - 44*r**2 + 89*r - 135. Let y be p(-46). Suppose -31 = -m + 25. Let d be 2\/(-8) + 38\/m. Put -0.1, d, -1, y in increasing order.\nAnswer: -1, -0.1, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -2*n + 3. Let a(i) be the second derivative of i**3\/6 + 9*i**2\/2 - 4*i. Let w be a(-6). Let x(p) = 4*p - 5. Calculate w*x(r) + 5*g(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, n: 1, g: 3}. What is prob of picking 3 g and 1 y?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1043 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 5*l - 5*g, g + 16 = 5*l - 3*g. Suppose i + 5*d - d - 20 = 0, 2*i - d - 49 = l. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes after 3:50 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -5*f**2. Let l(s) = 3*s**2. Let b(i) = -78*i**2. Let d(h) = -6*b(h) - 153*l(h). Give k(d(n)).\nAnswer: -405*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110) + (2*sqrt(110) + sqrt(110))*-5)\/((-2*sqrt(120))\/sqrt(12)).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/22)\/((-3)\/66)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**3 - 4*f**2 + f + 14. Let p be j(-2). Let t(r) = -2*r**2 - 5*r + 5. Let u(m) = -m + 1. Let v = -88 + 87. What is p*u(d) + v*t(d)?\nAnswer: 2*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(21)\/((sqrt(3) + sqrt(9)\/sqrt(3))*1) + 4.\nAnswer: sqrt(7)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from snssnsnssssssn. Give prob of picking 1 n and 1 s.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three eighths of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -61 + 3 + -11 + 9 + (17 - 30).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, -1, -2047588, 0?\nAnswer: -2047588","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 78\/17 at least as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -30\/11  (b) -218  (c) 482  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 3*z = 37, 4*z - 44 = -3*w + 3*z. Let u(y) = 4*y - 15. List the prime factors of u(w).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from {v: 1, e: 1, l: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11*h**3*l**2 + 10*h**3*l + h**3 + 29*h**2*l**2*o - 2*l + o wrt l.\nAnswer: 22*h**3 + 58*h**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*o**4 - 92190*o**3 - 2615895*o**2 + 1061110*o = 0. Calculate o.\nAnswer: -3659, -29, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 - 5. Let a(n) = n**2 - 4*n - 3. Let q be a(g). Let w = 2 - -25. Calculate the highest common factor of w and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 817 divided by -1\nAnswer: -817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8086?\nAnswer: 2, 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(((sqrt(102)*-2 + sqrt(102))\/sqrt(6) - sqrt(17)) + sqrt(68) + -5).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1355*t**4 - 14*t**3 + 38*t**2 - 2185365*t - 1?\nAnswer: 16260*t**2 - 84*t + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -77380 and 8.\nAnswer: -619040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -362 - -438. Calculate the greatest common divisor of 36 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/42 and 57\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*q**2 - 1 + 4*q - 4*q)*((-4 + 1 + 2)*(3*q + 2*q - 4*q) + 27*q - 82*q - 52*q) in the form v*q + c*q**3 + f + o*q**2 and give v.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -346 + 368. Let p be (-1*-1*2)\/1. Calculate the greatest common divisor of p and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = b + 15, 5 = 2*b - 0*b + j. Suppose 226 = 7*n - b. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xvm when three letters picked without replacement from vxmxvmvmvvxxve.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, -0.09, -2\/5, 1, 94, -6 in descending order.\nAnswer: 94, 1, -0.09, -1\/4, -2\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 90*l**3 + 33*l**2 - 32*l + 330. Let p(i) = -18*i**3 - 6*i**2 + 6*i - 66. Give -11*p(c) - 2*x(c).\nAnswer: 18*c**3 - 2*c + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) 54  (c) -2.5  (d) -45  (e) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.4, -2\/9, -17?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a century in decades?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1463, 1735, 2197, 2945, 4075, 5683?\nAnswer: 7865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -3*u - u + 17, -3*v - 5*u + 30 = 0. What is the smallest common multiple of 6 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -319\/6, 1\/7, 4, 1, -29, -1\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3623537896?\nAnswer: 2, 11, 17, 1453, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -2*v + z + 704, -5*v = 4*z - 1793. What are the prime factors of v?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**2 + 10*s - 14. Let z = 27 + -19. Let u be j(z). Let r(c) = -1 + c - c**u + 4*c - 2*c + 4. Give r(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*(u\/u**(-39))\/u*u**(-3))\/(u**(-6))**44 assuming u is positive.\nAnswer: u**301","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 114706?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 360 divided by 19\nAnswer: 360\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - (-8 + -1)) + -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1223806213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the third derivative of 0*p**7 + 0*p**3 - 1\/42*p**8 + 0*p**4 + 0 - 1\/10*p**5 + 0*p**6 + 0*p - p**2. Find the third derivative of m(f) wrt f.\nAnswer: -480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2888 + 12860 = -508*p for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((j*j**(3\/7))\/j)\/j)\/j)\/j)**26*j**(2\/53)\/j**(-7) assuming j is positive.\nAnswer: j**(-22193\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 677*k**3 + 2 - 4 - 594*k**3 to the form r*k**2 + i + n*k**3 + f*k and give n.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 26*t + 499. Let d be h(-19). Put -4, 3, 0, d in increasing order.\nAnswer: -4, 0, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -37*g + 32*g - 19*g + (2 - g - 2)*(0 - 1 - 1) + 2*g + 4 - 2 - 4 + 2*g - g + 5*g.\nAnswer: -14*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1998 - -2098. What is the remainder when 410 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(2\/17)\/g)**48)**(-23) assuming g is positive.\nAnswer: g**(16560\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -144 divided by 9?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -13, 21170, 0, 91 in increasing order.\nAnswer: -13, 0, 2, 91, 21170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -828 + 468. Let x = -359 - m. What is the closest to 5 in x, -1, 4\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.31 - 2.31. Which is the closest to -6?  (a) w  (b) -2\/9  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) -7  (b) 42\/17  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/92*(-908)\/(-1589).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3844 = -18*s + 4384. Calculate the smallest common multiple of 890 and s.\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-1)\/((-4)\/(-16)))\/(4\/(-2)). Suppose 2*c - 32 = -5*u, 13 = n*u - 2*c + 3*c. Solve -u = -4*d + 14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 + 6\/15)\/(-1) + (-109280)\/50. Is o smaller than -4373\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -31583\/6 + 5279. Let q be ((-3)\/(-1))\/(4 - 5). Calculate the common denominator of i and -95*(41\/14 + q).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 4*j. Suppose -6*h + h - 25 = 0, j = 5*k + 2*h - 10. Solve -3*b - k = p - 2*b, p + 4*b + 16 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 95 - 98. Let y be 2*(196\/8 + c). What is the highest common divisor of y and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 86314?\nAnswer: 2, 103, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2432 and 2128.\nAnswer: 17024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 110808 and -17.\nAnswer: -1883736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnnnnnnunnunnnununnn. Give prob of picking 2 u and 2 n.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -41223 - 2*b**2 + 6*b**2 - 2*b**2 - 126877 - 3*b**2 - 820*b.\nAnswer: -(b + 410)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v, 1 p, and 1 h when four letters picked without replacement from hccccvcccccvpp?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 83*o**3 + 33992*o**2 - 83972*o + 31312 = 0?\nAnswer: -412, 38\/83, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**3 + 27*l**2 - 70*l + 1499. What is k(30)?\nAnswer: -3301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -2*p + 3*p + 4, 4*j - 4*p = -8. Solve -2*d + 3*m - j - 4 = 0, -m + 2 = -3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (5740280\/(-546))\/(3 + (-106)\/102 - 2). What is r rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*p = -14*p + 1110. Is p a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -646, -1299, -1952, -2605, -3258, -3911?\n\"Answer: -653*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4\/15  (b) 21  (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-1)*(-8)\/(-48))\/(26\/(-780))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9004969*r**6 + 20881177*r**2?\nAnswer: 1080596280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 + 21. Let w = f + -12. Suppose 0 = -3*h - q + 152, 4*q - 8 - 12 = 0. What is the highest common divisor of h and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -2*t - 2. Calculate the remainder when n(-5) is divided by 2726\/406 - (-85)\/(-119).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kiki when four letters picked without replacement from {k: 8, i: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-1\/13)*l\/(l\/(l*l**0*l)))**5)**(-25) assuming l is positive.\nAnswer: l**(-3125\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14642031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -138*c - 154*c = -275*c + 289 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -46*f**2*t*w + f**2*t + 3*f**2 + 89*f + 250*t*w - 5*t - w wrt f.\nAnswer: -92*f*t*w + 2*f*t + 6*f + 89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 1 r when three letters picked without replacement from rrrrmmr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrrrrrrrrxxr. Give prob of picking 2 r and 1 x.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = w - 8, -w - 7 = -j - 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -12 + 12 + w. Let s(q) = q**2 + 3*q - 1. Let m(c) = 5*d(c) + s(c). Let i be m(-8). Put 3, i, 1 in decreasing order.\nAnswer: 3, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.229186 rounded to 2 dps?\nAnswer: -1.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -3\/2, -0.5, -0.446?\nAnswer: -0.446","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-54*1\/(-147))\/((-15)\/(-63)) and 36\/25.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((sqrt(66) - sqrt(66)*4) + sqrt(66))*-3 - sqrt(66)) + sqrt(66))*-1)\/((sqrt(6) - sqrt(486)*-2) + sqrt(6) + sqrt(150)*3).\nAnswer: -6*sqrt(11)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12 + -6. Is (29\/(-1))\/(i\/(-18)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 - -21. Let i = p - 13. Factor -3 - 12*u + 17*u**i + 3*u**2 - 5.\nAnswer: 4*(u - 1)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = y - g + 2, 420338*g - 420336*g = -y - y + 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000088888156 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -2*x**3 - 4*x**2 - 3*x - 1. Let i(s) = 4*s**3 + 9*s**2 + 7*s + 2. Suppose 24*f - 185 = 799. Suppose -104 = f*h + 142. What is h*i(w) - 14*l(w)?\nAnswer: 4*w**3 + 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 + 2. Let j = 212 - 217. Which is the closest to 0.1?  (a) -0.4  (b) d  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(-8) - 123\/(-604). Let d = o - -21635\/906. Calculate the common denominator of d and 132 + -127 + 3\/144*-10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10 - -10.5. Which is the smallest value?  (a) t  (b) 0  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 148*n - 125*n = 35305. Does 45 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1030*q**4 - 15*q**2 - 48228*q wrt q.\nAnswer: 12360*q**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 511292778?\nAnswer: 2, 3, 85215463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 31034 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -143, 5, -13, 73, -5 in decreasing order.\nAnswer: 73, 5, -5, -13, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ukkzzudfuzzzzzuf. What is prob of picking 1 u and 1 d?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - -30 - 4 - (4 - 9).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence imm when three letters picked without replacement from {i: 2, m: 4, r: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 90 and 155?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the second derivative of -3*f**5\/16 - 3*f**4\/4 - 9*f**3\/8 - 3*f**2\/4 - 3*f. Suppose a(h) = 0. Calculate h.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f**3 + 9*f**2 + 11*f - 16. Let i be t(-7). Solve 4*b - 3*p = 3, -i*p = -1 - 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from mmmbmbmmmmbbmmbmmmb.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-12)*(j\/((j**(-3\/5)*j)\/j)*j)\/j)\/(j**(3\/4)\/j**(-10)) assuming j is positive.\nAnswer: j**(-423\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 943 + -940. Suppose -3*b + 1 = 7. Let u be 2 - 2\/2 - b. Solve 0 = -2*f + w + u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -30*j**2 + 4853541*j + 1456065.\nAnswer: -3*(j - 161785)*(10*j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(1\/25)\/(m\/(m\/m**16)) assuming m is positive.\nAnswer: m**(-399\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*l**4 - 2*l**4 + 0*l**4 + (2 + 4 - 2)*(-4*l**3 + 3*l**3 + 0*l**3)*(-2*l + 4*l - 8*l) as h + t*l**4 + y*l + z*l**2 + w*l**3 and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 - 5*r**2 - 3*r - 7. Let k = -11 + 17. Let u be m(k). Let s(d) = 11*d - u*d + d**2. Let v(a) = -a**2. Give v(s(i)).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24217846 is divided by 24217816.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -4*b, -145 - 86 = 5*v + b. Let m = v + 47. Suppose m = -2*p + 5*f + 107, -3*p - 5*f = 2*p - 180. 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 second derivative of 2*d**3*i**2 - 4*d**3*i - 32*i**2 - 72*i wrt i?\nAnswer: 4*d**3 - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.39 - 0.93.\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2241323 is divided by 14942.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the third derivative of r**5\/60 - 7*r**4\/24 - r**3\/6 - 15*r**2 + 1. Determine l(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 3 v when four letters picked without replacement from {s: 4, v: 9, w: 4}?\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/177915 or 9?\nAnswer: 1\/177915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -46 - 0?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 42 + f**2 - 515*f + 515*f in the form m*f + s + c*f**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2322 divided by -6.\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the first derivative of -x**3\/3 - 3*x - 1. Suppose 0 = -4*y - 3*t + 5, 2*t + 10 = 2*y - 10. Let n(f) = 2*f**2 + 5. Determine y*v(z) + 3*n(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 110 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/4, 156, -1\/10?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - 4*v + 50, -2*d - 5*v - 5 = -0. Let j be (-2)\/(-4) - d\/6. Suppose -4*s + 119 = j*p, 0*s - 5*p = 2*s - 49. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -24130*i**3*k - 144016*i**3 wrt k.\nAnswer: -24130*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2\/6 + -1)*5*-63300. Round b to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9*g**2*r**3 - 11823*g**2 - 647*g*r**3*u - g*r**2 - 2*g*r + g*u - 2*r**3*u + 2*r**2*u + r*u wrt r?\nAnswer: -54*g**2 - 3882*g*u - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -51625 divided by -51625?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3239544.\nAnswer: 2, 3, 7, 11, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 + 17d904?\nAnswer: 17d905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.26, -0.1, -5, 1\/3 in ascending order.\nAnswer: -5, -0.1, 0.26, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/15796 and 85\/120548?\nAnswer: 476044052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 3*h = -28 + 12, -2*q = -5*h + 6. Find the second derivative of 11*a**3 - q*a + a**2 - 7*a**3 - a**2 wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes after 4:14 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 326 + -328. Let z be (r\/(-7 + -3))\/((-1)\/(-36)). Suppose -6\/5*d**5 + 3*d**2 + 24\/5*d**3 - 9\/5*d**4 - z*d + 12\/5 = 0. Calculate d.\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2940 and 350.\nAnswer: 14700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.5, 114.2, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-531362)\/7449*((-45)\/(-10))\/3\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*j + 4*j - 5*j + (2 - 1 + 2)*((-2 + 2 + 2)*(-4 + 4 - 2*j) + 4 + j - 4 + 0 + 0 - 2*j).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (8 + 370\/(-50))\/((-3)\/(-105)). Solve o*y + 9 + 12 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1)*y*y**(2\/49))\/((y*y**6)\/(y\/(y\/(y*y**(-3\/2))))) assuming y is positive.\nAnswer: y**(-731\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-1460)\/576 - 6\/(-27) and 79\/26.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*n**2 - 742 + 13*n**2 + 15*n**2 - 48*n**2 - 25*n**3.\nAnswer: -25*n**3 - n**2 - 742","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2538 + -1477. Suppose 5*g = 139 + c. Is 34 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 14 + -20. Let u = m + 3. Let g = 2.7 + u. What is the smallest value in -0.5, g, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -62520000 rounded to the nearest one million?\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 + 18. Let s = -4 + f. Let m = s + -8. What is the second biggest value in 1, m, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 87\/4 + (-6)\/(-24). Suppose -g - g = -o. Calculate the highest common divisor of 77 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the second derivative of 0 - i - i**3 - 1\/6*i**4 + 4*i**2 + 1\/10*i**5. Let u be l(-6). Round u to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 330774403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (4\/1)\/((-270)\/165*-11). Let p = -22.9 + 22. Let t = p - -5.9. Sort c, -1, t in ascending order.\nAnswer: -1, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 112 - 113. Is -59 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 495 is divided by 350?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 427620 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from onoooonnnonnnnnjn. Give prob of picking 4 n.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3 + 2)*(4 - -1). Suppose -4*z + 2 - 62 = 0. Let o = u - z. Calculate the remainder when 28 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 279 and 9393.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -81b7 (base 13) to base 11\nAnswer: -12499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-13916)\/(-140) - -3*(-2)\/15.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1540 - 1536. Let m(l) = 4*l - 6. Let a be m(4). Suppose a - 25 = -5*r. Solve -k*p - 11 = -3*i, -2*i + 1 + r = -2*p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1738016447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**(-2\/13))**(-7\/5))**4)**(4\/5) assuming f is positive.\nAnswer: f**(224\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fuufffffffffffuffuf. Give prob of sequence fu.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2685*k**3 + 8118*k**3 - 2744*k**3 - 2685*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s - 3. Let l be x(-3). Let y = 2 - l. What is the least common multiple of y and (0 - (-3 - -2))*11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes before 4:28 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 797 = 77. Let n be u\/39 + -4 + -2. What is the biggest value in 5, 0.4, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2\/15*r**3 - 8\/15*r - 16\/15 + 4\/15*r**2 = 0. What is r?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -248 - -251. Suppose -7*o = -n*o - 8. Solve 0 = 3*u - o*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 2 + 6. Let w be 2\/(-4)*t\/(-2). Let n(h) = -14*h + 1. Give n(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n + 15*v - 11*v = -140 - 129, -3*n - 156 = -3*v for n.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9509*o*z**2 - o*z - 16*o + 2*z**4 - 155*z**3 + z**2 + z - 5123 wrt z.\nAnswer: -19018*o + 24*z**2 - 930*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.1 + -1.6. Let s = -6.1 + 6. Which is smaller: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1728 divided by -864?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g = -2*g + 44. Let l = g + 16. Solve l*a - 2*k - 8 = -0*k, -2*k = 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 99019 times -0.3\nAnswer: -29705.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -41*f + 7967. Let j be v(112). What is the highest common factor of 135 and j?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -12019*o**2. Let a(r) = r. Give a(s(m)).\nAnswer: -12019*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 2*(-5 + 2*sqrt(2299) + sqrt(2299) + -1 + sqrt(2299) + -3))**2.\nAnswer: -3520*sqrt(19) + 147536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-103 - -82) + 12 + (0 + 1)*16.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 14, 1, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 - 30\/25)\/((-6)\/585 - 0). Which is the fifth smallest value?  (a) i  (b) 4  (c) -1\/7  (d) 0.5  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 10 + 6 + 2*u - 16. Let j(b) be the third derivative of b**4\/24 + b**2. What is j(m(r))?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 3*m**2 - m + 5. Let y be 0*(7 - (-4 + 12))*2\/(-2). Determine b(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*p - 4*p - 24*p)*(-10 - 1 + 1).\nAnswer: 400*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -133\/3 + 44. Sort -0.1, -1, l in descending order.\nAnswer: -0.1, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -327152*l - 1576924.\nAnswer: -327152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**3 + 49*j**2 - 44*j - 156. Let w be r(48). Suppose -2*x = 3*x - 120. What is the highest common factor of w and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**3 + k**2 - k. Let h be i(0). Suppose h = -2*m - 5*s + 3, 5*m + 4*s = 14 + 2. Solve -v = -m*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1323 - -1323.08. Which is the closest to g?  (a) -14  (b) -3  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ho when two letters picked without replacement from {d: 1, p: 1, n: 6, o: 2, s: 1, h: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r**3 + 45*r**2 + 53868*r + 267840 = 0 for r.\nAnswer: -124, -5, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/10 + 9\/5 + -2.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 2*u - 4. What is w(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d**3 - 8*d**3 + 4*d**3)*(-4 + 6 - 5) + 4*d**3 + 4 - 4.\nAnswer: 22*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rxrr when four letters picked without replacement from {r: 6, x: 7}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -760 divided by -3\nAnswer: 760\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -16*j**3 - 3*j**2 - 14. Let w(i) = 32*i**3 + 7*i**2 + 27. Let o(m) = -7*g(m) - 3*w(m). Differentiate o(q) wrt q.\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the second derivative of k**7\/2520 - k**6\/1080 - k**5\/360 + k**4\/72 - k**3\/2 + 3*k. Let i(q) be the second derivative of c(q). Factor i(m).\nAnswer: (m - 1)**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = 4*r + 70. Let k = r + 9. Is ((-30)\/k)\/(1\/74) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - 4\/16)*-12. Suppose -2*s = -9 + v. Factor m**3 - m**s - 4*m**2 - 4*m**3.\nAnswer: -4*m**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -67877 (base 14) in base 7?\nAnswer: -2064610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4513016423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1706 - -3200. List the prime factors of f.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 571429190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 245, 326, 561, 1028, 1805?\n\"Answer: 13*w**3 - w**2 - 7*w + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -19*f**3 + f**2 + 2*f - 2. Suppose 2 - 17 = -15*r. Determine q(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -2  (b) -0.3  (c) -3  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (-4 - -15) - -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of 7.039416 and -19154.\nAnswer: -19146.960584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: 2\/((-5)\/30*3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 268 = 5*c, 50 = c - 0*p + 3*p. Let j(b) = 4*b**2 + b - 3. Let s be j(3). Let y = c - s. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 3, -172, 33, -5, 4 in decreasing order.\nAnswer: 33, 4, 3, 1, -5, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -662 + 677. What is the third derivative of -74*w**2 + 2*w**3 + 3702*w**4 - 3552*w**4 - r*w**2 wrt w?\nAnswer: 3600*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 536018 is divided by 267993?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5.1 + 0.1. Let b = -0.19 + 0.45. Let m = 0.14 + b. What is the nearest to -1 in -1, m, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b + 1. Let u be a(6). Let z(j) = -8*j - 3. Calculate the remainder when z(u) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 2 v when four letters picked without replacement from nvknvkvk.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -176 - -176.659. Let k = 88.059 - u. Let m = k + -99. What is m rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11313998 to the nearest integer?\nAnswer: 3364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -471*w - 4*a = -943*w + 472*w - 12, 0 = -3*w + a - 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 2*c**2. Let r(f) = -1818*f + 12780 - 12780. Give r(n(j)).\nAnswer: -3636*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -423774\/26275 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 386 divided by -2\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-96)\/(-40))\/(15\/150).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f - 6. Let i be s(-8). What is the third derivative of 30*h - 23*h**4 + 7*h**4 - 30*h + 17*h**i wrt h?\nAnswer: -384*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 48*o**2 + 14*o - 9. Let w be t(-4). Let h = w - 667. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/799 and -14\/153.\nAnswer: 7191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iihohd. What is prob of sequence io?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-102)\/(-8)*60\/45. Solve 5*u + 4*n = b, 0*u + 3*n - 7 = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 10) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -21*(-82)\/(-21525) - 127\/(-25)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -5*z + 10. What is j(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = -5*n + 3*s, -171*n = -172*n - 2*s + 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**2 + 4*d + 1. Suppose 3*p + 8 = -2*h, 2*p + h - 14 = 5*p. Let b be k(p). Let w = -1 - -1. Which is smaller: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 7  (b) 2  (c) 2\/5  (d) -1  (e) 2\/7  (f) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.86 * 2.6.\nAnswer: 7.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 137203 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*y**2 + 18 - 18 - 11*y**2.\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1 - 5)\/((-42)\/(-42)). Let s be (-4)\/22 + 26\/22 - g. Solve 2*u - 3*x = -u - 3, -5*x = -s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 236\/17*h**3 - 2\/17*h**5 - 62\/17 - 54\/17*h**4 - 364\/17*h**2 + 246\/17*h = 0.\nAnswer: -31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f - 13. Let y be n(-9). Let l(s) = -4*s**2 - 2*s + 5. Let u(g) = -4*g**2 - 2*g + 6. Let t(p) = y*l(p) + 3*u(p). What are the prime factors of t(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*a - 11*a - 5*a + 2*a + 3 - 4 + 3 + (1 - 3 + 3)*(0 + 0 + a))*(3 + 5 - 2) to the form n*a + u and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1 * -842\nAnswer: -842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = -4*b - 2*g + 18, -b + 3*g - 6 = 0. Suppose h - 2*p = 0, 20*h - 19*h - 14 = -5*p. Solve 3*l - 7 = h*i, b*l - 7 = 5*i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 106 divide 3593824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -3598 rounded to the nearest 100?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 29935840 divided by -205040?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 4 - 13979*p**2 - 8*p**3 - 2*p + 2*p + 13978*p**2. Let s(l) = 5*l**3 + 0 + 2*l**2 + 4*l**3 - 5. Calculate -7*h(g) - 6*s(g).\nAnswer: 2*g**3 - 5*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:36 AM and 12:49 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 8*b - 4*b + 144, -o = 2*b - 92. What is the remainder when o is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:21 AM and 5:07 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 59707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-70 - -100) + 73 + -46.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the third derivative of j**4\/8 - 5*j**2. Determine y(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, 3\/7, -15010 in descending order.\nAnswer: 3\/7, 2\/9, -15010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 26 + -24. Suppose -11 = -3*g - 0*h + h, 5*g - 33 = -v*h. Factor -3*w**3 + 0*w**2 + g*w**2 + 2*w**2 - w**2.\nAnswer: -3*w**2*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 358493 is divided by 149.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 89eb3 (base 16) to base 12.\nAnswer: 232b03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + a = 4, 5*m - 3 = 3*a. Find the third derivative of 2*g**m + 108*g**2 - 75*g**2 - 62*g**2 + 0*g**3 wrt g.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3*((-3)\/(-9) + 0). Let o = 18 + b. What are the prime factors of o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 399*v - 2637 - 4545 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (4 - (0 + 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -24903*o + 771840. Calculate j(31).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/15)\/((-15)\/(-25))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 480 + -482. Sort 0, d, 10, 1.\nAnswer: d, 0, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:04 AM and 10:16 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 1, 0.4, -3\/7, -7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -2*c - 6, c - 4*f + 296 = 272. Solve 4 = -4*u, i + c*i = -5*u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 47 + -71.6. Round r to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 52731 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**2 + t - 1. Let y(h) be the third derivative of 0*h - 7\/60*h**5 + 22*h**2 + 1\/4*h**4 + 0 - 2\/3*h**3. Let f = 22 - 16. What is f*u(o) - y(o)?\nAnswer: o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 78.839 litres?\nAnswer: 78839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 937 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.628 + -2.4963. Let y = x - 0.4788. Let i = y + 0.34. Round i to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6\/37, 0.01, 3, 0 in ascending order.\nAnswer: 0, 0.01, 6\/37, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**3 + 4*u**2 - 4*u + 3. Let z be l(3). Which is the third biggest value?  (a) -3  (b) 0.1  (c) z  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 630 = 3*u - 93. Let t = u - 241. Solve t = 11*i - 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eight fifteenths of a hour in seconds?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 16) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -1261 + 412 + 365 - 31*v + 405. Let s(g) = 63*g + 158. Let j(w) = 13*m(w) + 6*s(w). What is the derivative of j(n) wrt n?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -54*y**3 + y**2 - 2*y + 1. Let t be r(-2). Let o = t - 163. What is the common denominator of (o\/36)\/(1\/3) and -19\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -68 + -2?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*l = -h + 7*l + 40, 22 = -4*l + 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + -1*sqrt(99)*-1*1)*3)**2.\nAnswer: 54*sqrt(11) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 484 + -3392\/7. Let l = 9 + -9.1. Which is the second biggest value?  (a) l  (b) g  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4305.\nAnswer: 3, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f**3 - 14*f**2 - 12*f + 4. Let w be n(-6). Suppose -4 = -w*h + 124. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/5 less than or equal to -122\/2754693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 1 f when three letters picked without replacement from ffffyyfffyffyffffff.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -44b (base 13) to base 6.\nAnswer: -3231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 6 + 1)*(0 + d - 4 - 2).\nAnswer: -3*d + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -7 + -2649?\nAnswer: -2656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 42\/35 - ((-692)\/(-360) + -3) and -89\/690?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 221 = -3*c + a, -227 = -3*c + a. Solve -74*r + c*r - 5 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes after 7:25 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -292*q**5 - 8*q**4*t**3 + 2*q**2 + 12*t**3 - 53*t wrt q.\nAnswer: -17520*q**2 - 192*q*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -10*r**2. Let w = -5 - -17. Suppose h + 3*m = -1, 0 = -4*h - 0*m + 4*m + w. Let z(l) = -5 + l**2 + 5 + l**h. Calculate z(t(v)).\nAnswer: 200*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 84348677 to the nearest integer?\nAnswer: 9184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 818, -2, 3, 1\/340?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 80773, 161547, 242321, 323095?\n\"Answer: 80774*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 22*m + 151. Let s(x) = -x - 5. Let v be s(0). Calculate the remainder when 49 is divided by i(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.056 + -3.156. Let r = m + 1.6. Let g = r + 15.1. Round g to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1  (b) 31  (c) -359  (d) 1.1  (e) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y - 5*b - 18 = 0, -139*y = -142*y - b - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 1 - 6. Suppose y + 1 - k = 0. Suppose -2*s + 22 = 4*w, -y*s - 15 + 47 = 5*w. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r + 2*v - 10, r + 0 = 5*v + 1. Let u be 5 + r + 14 + -3. List the prime factors of 81\/u + 4\/16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c - 3*h + 12 = -8, -5*c + 10 = h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4422 + 3?\nAnswer: -4419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 255268034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the third derivative of -1\/180*c**6 + 1\/504*c**8 - 1\/315*c**7 + 0*c**3 + 0 + 1\/90*c**5 + 2*c**2 + 0*c**4 + 0*c. Solve n(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 92501165 and 265?\nAnswer: 92501165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (-4 + 10 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16626352?\nAnswer: 2, 269, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**2 + 10*m - 10. Let r be c(8). Suppose 0 = 3*q - r - 3. Suppose q*s - 14 = 7. Solve -2*l + 3 = 3*p + l, s = -p - 5*l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1172416754 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and -2888.43.\nAnswer: -1444.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 3*g = 3*l - 30, -5*l + 3*g + 48 = 0. What is the remainder when 61 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x + 3. Suppose 0 = -3*m - 1 - 2. Let s(f) = -1. Let r(a) = m*s(a) + c(a). What is r(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*b + 35*b - 60 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b - 4*p = -4*b - 20, 3*p = 2*b + 15. Solve 0 = 4*n + u - b*u - 17, -21 = -4*n - 5*u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -119\/3278544 and 59\/215952.\nAnswer: 36063984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 22 - 13. Suppose 0 = -6*d + 3*d + h. Let g be (0 - -4 - 1) + -1 - 0. Solve 2*u = -g, 2*r - d*u - 7 = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 387 and 1779297?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 110.4 - 105.4. Let d = -7.5 - -0.5. Which is the smallest value?  (a) -0.4  (b) d  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*1*(sqrt(152) + sqrt(152) + (sqrt(152)*5 - sqrt(152)) + sqrt(152))*6)\/((sqrt(784) - (sqrt(784)*-3 + sqrt(784)))\/(1*(sqrt(2) - sqrt(2)*-1))).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g + 8, -4*u + 2*u = -2*g - 14. Suppose 3*m = -2*t + 4 + 32, -u*t - 2*m = -59. What is the remainder when t is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 34, 679.\nAnswer: 8, 34, 679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 184066179*w**3 + 182810847*w.\nAnswer: 1104397074*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = 11*u - 196. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1031*n + 15576 = -12261 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {i: 8, o: 2, v: 7, h: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 10871494 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2095191.89 rounded to the nearest 1000?\nAnswer: 2095000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41393 = -38*y + 328651. What are the prime factors of y?\nAnswer: 2, 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/(-12) + ((-2400)\/(-45))\/40?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2737472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -x**3 - 1242*x**2 - 126784*x wrt x.\nAnswer: -6*x - 2484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 736365377 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (462\/12 + -1)\/(1\/2). Let y be (-15)\/(s\/10) + 5. Solve -3 = 6*h - y*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 16922 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = n + o - 8, 3*n + 5*o = 52. Let r be (-2)\/(-8) - (63\/12 - 2). Let t = r + n. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 702565854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -2\/7  (b) -1\/5  (c) -5  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 - 6*y**2 - 2*y + 4. Let x(h) = 47*h - 226. Let g be x(-16). Let k = g - -983. Calculate f(k).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8133994 or 8133995?\nAnswer: 8133995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 96.3635179 - -867\nAnswer: 963.3635179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5685437.\nAnswer: 397, 14321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -2\/5, 0.1, 20 in decreasing order.\nAnswer: 20, 0.1, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-2*sqrt(200)*-5 + -3*sqrt(200) + -2 + (sqrt(200) + sqrt(200) + 4 + sqrt(200) + 2)*6))**2.\nAnswer: 17000*sqrt(2) + 126156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 - 21aaa?\nAnswer: -22000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 50 - 27. Suppose -11*b + 148 = -105. What is the highest common divisor of n and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * 630.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3186 - 6538 + 6574)*(2*w + 0*w + 0*w + 1).\nAnswer: -6300*w - 3150","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-288)\/(-24) - (7 + -1) - (-11)\/(-2). Let b(m) be the first derivative of -13 + 2*m**3 + j*m**4 - 8*m + 0*m**2. Solve b(v) = 0 for v.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.12685585 rounded to five dps?\nAnswer: 0.12686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:19 PM and 10:44 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 11\/(-44)*-1 + 100\/(-16)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 15\/(-20)*56\/(-14). What is the nearest to 1 in -0.2, r, 0.066?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 21 by 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-93)\/(-2) + 2)*(-10 - -12) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 11 + 5)*(0*n + 4*n - 6*n)*(-5 + 1 + 3).\nAnswer: 40*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*v - 6 = -38 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - 4*k + 20, 5*k = -c - 0*c + 22. Suppose -c*w + 370 = 5*q, 5*q - 3*q = -w + 149. Calculate the greatest common divisor of 9 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**3 - 15*j**2 + 44*j - 3. Is s(18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.34 - -0.16. Let k = s + 2.5. Let i = 3 + -2. Which is the nearest to 2?  (a) -2  (b) k  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j, 1 c, and 1 x when three letters picked without replacement from ccjchxiochhh.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*g**3 + g**3 + 4*g**3 + 5*g**3 - 8*g**2 wrt g.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 + 83 = -119*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2207*u**3 - 2208*u**3 + 4423*u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 22 = -27*q + 26*q, 4*h - 64 = -3*q. Calculate the greatest common factor of 348 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -5*z - 1089842, 1729022 = 4*k + 5*z - 2630521. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5247 and 18592506?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21\/5*l**3 - 27\/5*l + 9*l**2 + 0 + 3\/5*l**4 = 0. Calculate l.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -1204*b**2 - 15*b - 1161. Let x(s) = -1209*s**2 - 12*s - 1162. Let q(j) = -4*o(j) + 5*x(j). Find the first derivative of q(h) wrt h.\nAnswer: -2458*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/2 + (-3 - -5). Let b = w - -7. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -239*d + 1. Let n(o) = 660*o - 6. Let z(u) = -11*j(u) - 4*n(u). What is z(5)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3978600 rounded to the nearest 100000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.62484 kilograms?\nAnswer: 624840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1514708, -1, 1\/3, -0.1.\nAnswer: -3, -1, -0.1, 1\/3, 1514708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11110001000 - 10110110?\nAnswer: 11011010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 323434 greater than 3557771\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes after 3:37 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 511 - 544.54. Round b to 0 decimal places.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 2*o + 4. Let k(m) = 3*m + 5. Let u(a) = -4*k(a) + 5*q(a). Let i(h) be the third derivative of -h**5\/30 + 15*h**2. Calculate u(i(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-2 - 1 + 4)*(5 - 5 + 4) + (3 - 1 - 1)*(1 - 4 + 2))*(-2*l**2 + 6*l**2 + l**2) to t*l + d*l**2 + p and give d.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 + 21. Let m be (4 - 65\/10) + 35\/14. Which is the second smallest value?  (a) g  (b) -0.5  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 15757 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -23131160 divided by 4626232?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (83 - 117) + -1 + 57.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 + 3 - 29*v**2 + 32*v**2.\nAnswer: 3*v**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(13))*-2)**2 + (sqrt(208))**2.\nAnswer: -8*sqrt(13) + 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that 3090*l**3 - 6336*l - 453*l**4 - 521*l**4 - 13944*l - 588*l**4 + 1307*l**4 + 4940*l**2 + 5*l**5 = 0.\nAnswer: -3, 0, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 + 16. Suppose 11*d = 22*d + 55. Let f be 16\/(-6)*66\/88 - d. What is the highest common factor of f and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (23 - 5)\/((-11)\/((-77)\/28)). Factor p - 3\/2*y**3 + 3\/2*y**2 + 15\/2*y.\nAnswer: -3*(y - 3)*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*t**3 - 8*t**4 + 3*t**3 + 0*t**3 + 7*t**2 wrt t.\nAnswer: -192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-28)\/((-4)\/(-10) - 228\/190).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**3 - 4*j**2 + 5. Let p be a(-4). Let g = p + -1. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = -10*s - 180, -5*g + 102*s - 98*s + 44 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -1305*j**3 + 10443*j**2 - 24*j - 4. What is r(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 + 4. Let k(s) = -s**3 + 3*s**2 + 11*s - 10. Let b be k(5). Let p be (2 - -1)*b\/(-3)*t. Solve -2 = p*f - 17 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3330 - 3?\nAnswer: -3333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2115)\/(-282)*(-4)\/5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 49, 89, 133, 181, 233?\n\"Answer: 2*z**2 + 34*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from paijr. Give prob of picking 1 p and 1 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 209 by 37.\nAnswer: 209\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16\/32527 + -3360649\/21077496. Find the common denominator of 29\/132 and o.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from grrgrgrrggrrg. Give prob of sequence rrg.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4, -7, -4, 5, 20, 41?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2021305 (base 7) to base 9.\nAnswer: -406027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 184021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**3 + 5*o**2 - 2*o - 1. Let v be g(-5). Let b(f) = f**2 - 10*f + 11. Let d be b(v). Suppose -3*c + 55 = d*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13e43 (base 15) to base 11\nAnswer: 44069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-1938)\/(-10) - 5) + (-1)\/(-5).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3124379 divided by 17\nAnswer: -183787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7964887.\nAnswer: 7, 103, 11047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwe when three letters picked without replacement from wqqqqqwqeqqqeqwqewqe.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (279\/372*(-42)\/9)\/((-9)\/(-6))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -11*q - 49. What is y(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -72, 1, -5, -4, 2, -127, 9 in descending order.\nAnswer: 9, 2, 1, -4, -5, -72, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 3 - 9 = -3*s, -s - 3*a = 9. Let d be (2\/5)\/((-2)\/(-10)). Suppose z = -d*z. Solve s = 5*y - 20, x + z = -y + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 732\/(-1 + 5) - 1. Calculate the greatest common factor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 44 + 21200?\nAnswer: 21244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -212 times -19.3\nAnswer: 4091.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-13)\/(-2))\/(7\/14). Let b be -6 - (2\/(-10))\/((-3)\/15). Let a = d - b. Does 20 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -194, -285, -376, -467?\nAnswer: -558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.31 * -83.\nAnswer: 25.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c**3 + 4*c**2 - c = 0 for c.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -176*u - 2 - 4915*u + 2 + 40974*u.\nAnswer: 35883*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.3  (b) 0.4  (c) -8\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 64*u**3 + 4*u + 5. Let g(p) = 191*p**3 + 11*p + 14. Let z(b) = -11*d(b) + 4*g(b). What is the units digit of z(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 239, 264, 343, 482, 687?\nAnswer: 964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1815 and 160005.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4944\/11 - 4880\/11. Which is smaller: j or 7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from zzttzzzttzzzttzt?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*f - 30*f + 98*f = 0. Find u, given that 0*u + 4\/5*u**4 + 8\/5*u**2 - 12\/5*u**3 + f = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**3 + 9*m**2 + 3. Let y be g(-9). Suppose s + 15 = 4*q, 4*q + 8*s = y*s + 21. Solve -2*l = -5*f + 4, 7 = -q*f - 0*f + 5*l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q. Let y be (0 - -2)\/2*-1. Let m be 3\/2 - y\/2. Let n(g) = -g + 2 + m*g - 5*g. Determine -n(z) - 5*o(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ag when two letters picked without replacement from ggggggagggagggaagggg?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 21 + -27. Is (-68)\/r*(11 + -5) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73 divided by 2510883?\nAnswer: 73\/2510883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y - 6. Let s(c) = 1. Let k(o) = -o - 37. Let p be k(-32). Give p*s(x) - a(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 8305, 33208, 74713, 132820?\n\"Answer: 8301*d**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 - 112112?\nAnswer: -112111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 971.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (0 - -1) + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -207*y - 4141. Let r be s(-20). Which is the closest to r?  (a) 2\/15  (b) -106  (c) 0.3  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 38 = -3*i, z - 38 = i + 3*i. Suppose -1 = 5*m - 76. Let c = m + i. Solve x + c*p = -0*p + 21, -2*x + 2*p - 18 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes before 6:27 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 530.5 + -531. Let v = -309\/1760 + -1\/160. Let p be (0 + 4 - -2) + -2. What is the nearest to v in k, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3960 and 10?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 2\/7  (b) -5  (c) -4  (d) -455  (e) -57  (f) -11\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15*p**2 + 14*p**2 - 3*p**2 + (2*p + 0 + 0)*(-p + 3*p - p).\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 93 is divided by (-9 + 114)*1\/3?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o + 53. Let t be l(28). Which is smaller: 26 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the first derivative of 13*z**7\/840 - z**4\/8 + 16*z**3\/3 + 14. Let g(w) be the third derivative of h(w). Differentiate g(i) wrt i.\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1294 divide 45189068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/16 and -13\/456?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 105 = -486. Let a = l + -17. Suppose -2*v + 3*y = -26, 2*v + 2*v - 4*y - 48 = 0. Calculate the highest common divisor of v and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 864078 by 2.\nAnswer: 432039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.02 + -0.22. Let v = 49350\/13 + -3796. What is the closest to 0.3 in -1\/2, x, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 222 is divided by 57.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*n + 2*n + 4*n + (-1 + 3 - 1)*(5 - 3 - 4*n + 0*n) to the form t*n + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 308453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 39 and 57\/8908?\nAnswer: 8908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the second derivative of 47*x**3\/6 - 13*x. Let s(a) = a. Let i(m) = -m. Let u(c) = -6*i(c) - 7*s(c). Give h(u(q)).\nAnswer: -47*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 583983 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(833) - (-3 + sqrt(833)*1))*-4*3 + -5 + sqrt(833) + 3 + sqrt(833) + (sqrt(833) - 2*sqrt(833)*6))**2.\nAnswer: 4788*sqrt(17) + 68917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (12\/(-126))\/((-6)\/(-14)). Let o = -5 + 3. What is the second biggest value in -5, y, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 139.497445545 - 0.497437945. Let s = -139 + i. Round s to 7 decimal places.\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w\/(w*w*w**(-5)\/w)))**(-44)\/((w**(2\/35)*w)\/w**(-6)) assuming w is positive.\nAnswer: w**(5913\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -34 - -28. Let g = 323.6 - 324. Sort -4, w, g, 0.4 in descending order.\nAnswer: 0.4, g, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*x = -508*x - 762*x - 1288 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 + -25b?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8 and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 4*a - 2*g, 0 = 4*g - 13 + 1. Let f = a + -3. Calculate the remainder when f is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -860 - -1132. What is the remainder when h is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -2*d - 11. Let j be s(-9). Let y be j + -5 + (2 - 1). Determine q so that 0*q**2 + 0 + 1\/2*q**y - 1\/2*q = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - ((-4 - -2) + -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -6.3 * 9094\nAnswer: -57292.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 230184 and 6533?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 4*r = -5*k - 372, -5*k = -3*r + 475. Let g = k + 101. Suppose 5*o + g*y - 2*y = 245, -3*o + 164 = 4*y. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kmiikimmkiiim. What is prob of sequence kik?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from masmmxu. Give prob of sequence smam.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + (23 - 33 - -17).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 5180*l - 10366*l + 3 + 5185*l + 21*l**4 - l**3 - 7*l**2 as t*l**2 + b*l**3 + g + w*l**4 + m*l and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and -0.183?\nAnswer: -0.0549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1206 + 177 = 542*i + 299 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -0.16, -7 in ascending order.\nAnswer: -7, -0.16, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 63\/(-1610)*26\/1 - (37 - (3 + 35))?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 12\/(-10)*(-2)\/12*(-100)\/(-1). Sort -7, u, 0, -3, 5.\nAnswer: -7, -3, 0, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(143) + (sqrt(143) + -4*sqrt(143))*4 - sqrt(143) - (sqrt(143) - (sqrt(143) - 2*sqrt(143))*4))\/(6*sqrt(308)\/sqrt(7)*-6).\nAnswer: 17*sqrt(13)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2436 and 301440?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -70, -63, -54, -43?\n\"Answer: h**2 + 4*h - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 89601885032.95 and 2?\nAnswer: 89601885030.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -8\/235 or 7173?\nAnswer: 7173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3 + (6\/(-33))\/((-6)\/(-3897)). Which is smaller: -120 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, 425, -1\/7, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 542 divide 19015830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0735 rounded to 3 dps?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (9*55\/(-132))\/(15\/40)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 20 - -47?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(108) + 0)**2 - (sqrt(108) - (-3 + (3*sqrt(108) - sqrt(108)))**2).\nAnswer: -78*sqrt(3) + 549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 445.1 + -445. Let j be (-2)\/(-5) - (-24)\/(-10). Which is the closest to 0?  (a) j  (b) i  (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**3 - 8*d**2 + 10*d + 15. Suppose 0 = 1316*l - 1307*l - 432. Calculate the smallest common multiple of l and m(7).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -h**2 + 0*h**2 - h**2 + (-1 + 0 - 9)*(3 - h**2 - 3) + (-7 - 7 - 5)*(-h**2 - 7*h + 7*h) + h**2 + 1 - 1 in the form t*h**2 + g + z*h and give t.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in 5.553, 0.4, 23.6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -5*l + 4*l. Let v be (-5)\/(10\/8) - l. Let d(a) = -a - 2. Let r be d(3). Put r, v, 3, -4 in increasing order.\nAnswer: r, -4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the second derivative of -11*c**3\/3 - 5*c**2 - 9*c. What is the derivative of d(m) wrt m?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 2*m + 2. Let v be o(3). Suppose v*j - 6*j = 760. Suppose -85*x + 81*x = -j. What are the prime factors of x?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 34289117 by 5.\nAnswer: 34289117\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -10 + 0 + 2 - -2. What is the common denominator of (-15)\/6*(-10)\/7 and (-10)\/33*g\/4?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (6 + -98)*(-20)\/16. Suppose 2*g - p = -3*j, -6*g = -g - 5*j - 275. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 - 18) + -36 - (4 + 1 + -21).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -617 + 622. Does 21 divide (21\/y)\/(31\/9765)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(176) - sqrt(176)*3) + sqrt(176))**2*-6.\nAnswer: -1056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (12\/21)\/(6\/399). Find the second derivative of -19*p + 14*p**5 + 7*p - o*p**5 wrt p.\nAnswer: -480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j - 2*j + 98. Suppose -a + j = a. Solve -6*g + a = -5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the second derivative of l**4\/6 - 2*l**3\/3 - 2*l**2 - l. Let w be y(5). Solve 0 = -4*p - 8, -5*n - 3*p = -0*p + w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 385*y + 9848 = 393*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 114662 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum 42 and 385891609.\nAnswer: 385891651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 563451060.\nAnswer: 2, 3, 5, 17, 552403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1897)\/112 + (-22 - -39) + 1386\/352.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 214, 2717, 6936, 12877, 20546, 29949, 41092, 53981?\n\"Answer: p**3 + 852*p**2 - 60*p - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1180*j*n**2*s**2 - n**2 + 674*n*s**2 wrt j.\nAnswer: 1180*n**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) - (sqrt(14)\/sqrt(7))**2)*1 + ((sqrt(20) - (sqrt(20) - sqrt(20)*1))\/sqrt(10))**2.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 133\/816 and -89\/18.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3\/5, 0.024, -1, -9\/5, -0.5, 3\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -69\/16 and 93\/2427892.\nAnswer: 9711568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 52921 (base 10) to base 3\nAnswer: 2200121001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wr when two letters picked without replacement from {i: 1, r: 1, v: 1, k: 3, w: 5, o: 2}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from {g: 1, e: 12}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the third derivative of -n**6\/120 + n**4\/6 - 2*n**2. Find the second derivative of x(u) wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -4  (b) 1\/5  (c) 62  (d) -1\/4  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1155 divided by -3\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 17152 and 933310?\nAnswer: 119463680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 - -7. Let a = -0.3 - 0.2. Let l = -2 + 2. What is the nearest to -1 in l, a, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 789*s - 2055*s - 19240 = -379*s + 3923*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 552.3 + -552.358. What is the second biggest value in c, -0.04, -5, 0.5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 35 - 33. Let p be (l + 2 - 8) + 9. Solve 2*t + p = 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z + 2*z + 70*z = -2204 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -1\/1185273576?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (343\/(-245))\/(2\/(20\/(-6))).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 + -4.98. Let i = -0.98 - w. Let o = i + 1. Is 0.1 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 33*b + 2. Let k be n(5). Suppose -2*r + k = x, 6 + 4 = -2*x. What is the common denominator of r\/(-120) - 3\/9 and 81\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 233, 330, 425, 518?\n\"Answer: -u**2 + 100*u + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4325669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -3\/13143836?\nAnswer: -3\/13143836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 156 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 3*z = 578, -2*v + 174 + 112 = -3*z. Suppose 2*h - 2*k = 92 + v, k + 357 = 3*h. Suppose w = -l - 0*l + h, 117 = w + 2*l. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*f + 0*f - f)*(-757*f + 395410 - 395410) in the form v + n*f**2 + j*f and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*d - 21*d - 316 + 268 = -8*d, -6*g + 54 = -5*d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5837 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**2\/9 - 122*j\/3 + 7676\/9.\nAnswer: -2*(j - 19)*(j + 202)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes before 5:17 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 823205131?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 78*v - 261 - 97*v**2 + 216*v**2 - 116*v**2.\nAnswer: 3*(v - 3)*(v + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 113, 226, 339?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 3c6 (base 15) to base 6\nAnswer: 3553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11434.2678 + -11473.26779423. Let q = p + 39. What is q rounded to 7 dps?\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**(15\/7)*z)\/z*z*z**(-12))\/(z**(-14)*z*z*z**(-6\/7)))**(-11) assuming z is positive.\nAnswer: z**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7693201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -7*y**2 + 3*y - 2. What is v(2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 12 = -3*i, 2*i = -3*i - 5*o + 15. Suppose 2*z + 5*j - 15 = i, -9 = 2*z - 3*j - 64. What is the smallest common multiple of z and 34?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 3588325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 + 101 = 4*k. Find the third derivative of 8*x**2 - 22*x**2 - 13*x**3 + k*x**2 wrt x.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**2 - 9*v + 4. Let z be q(-9). Suppose -4*y - 4*l = 8, z*l + 4 = y - 4. Let f be 0 + y - (-3)\/6. What is the third biggest value in 2\/11, f, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-4 + 4*(-2 + sqrt(7) + 4)))**2 - (sqrt(56)\/sqrt(8)*3 + ((sqrt(7) - sqrt(14)\/sqrt(2))**2 - sqrt(7)) + 1)*-6.\nAnswer: 140*sqrt(7) + 518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 63246268 to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -235795\/173262 - -504\/431. Calculate the common denominator of h and 105\/4958.\nAnswer: 14874","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) -3404  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.4 + -1.9. Let v = -12 - -7. Which is the closest to -0.1?  (a) w  (b) v  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y - 6. Let z be l(-11). Which is the smallest value?  (a) -2\/19  (b) z  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -573, 16504, 8 in increasing order.\nAnswer: -573, 8, 16504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 3*i**3 + 2*i**2 + 5*i - 3. What are the prime factors of w(2)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 98 a factor of 3831898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 855 and 823479?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 31*r**2 - 172*r + 1. Let z(a) = 21*a**2 - 178*a. Give 2*g(o) - 3*z(o).\nAnswer: -o**2 + 190*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53452 is divided by 155?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -519 at most -489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12 - 18. Let x = l - -6.08. Let u = x + -0.04. Round u to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (20\/(-35) - 492\/(-224))\/5 and -62\/75.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 255*i**3 + 8*i**2 + 70. Let p(b) = -1019*b**3 - 36*b**2 - 281. Let y(u) = -9*a(u) - 2*p(u). Differentiate y(w) with respect to w.\nAnswer: -771*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the third derivative of -i + 0*i**3 - 19*i**2 - 1\/10*i**6 + 0 + 0*i**5 + 8\/105*i**7 + 0*i**4 - 1\/84*i**8. Determine t, given that s(t) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ivmavkah. What is prob of sequence mkv?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3939 + 3943. What is the least common multiple of y and 929?\nAnswer: 3716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 4*z**2 + 3*z + 7. Let s(n) = 5*n**2 + 4*n + 8. Let q = 58 - 52. Determine q*o(j) - 5*s(j).\nAnswer: -j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 657547883*m. Let t(k) = 2*k. Calculate t(y(c)).\nAnswer: 1315095766*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -43 + 43.1. Let q = n - -1.87. Round q to one dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 5*c**2 + 2*c + 0*c**2 + 2*c - 4 - 8. Is z(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of 748*w**3\/3 - 4*w - 573. Let y(s) = -s**2. Give o(y(j)).\nAnswer: -1496*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/10)\/((-1)\/(-5) - (3 - 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 245\/(-75) + (-11)\/(-33). Let f(a) = a - 3. Let d be f(1). Which is smaller: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 - -24. Suppose -h*u + 18*u + 20 = 0. Suppose -u*l = -8 - 2. Solve 2*y + 0 = 3*p - 6, 4 = 2*p + l*y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the first derivative of -3*o**5\/20 + o**3 - 40. Determine u so that c(u) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t. Let h(x) = 11*x**2 - 22*x. Determine 22*c(b) - h(b).\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p**5 - 4*p**4 + 28*p**3 + 52*p**2 + 24*p = 0 for p.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1830 (base 9) to base 6\nAnswer: -10300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11075 by -11313.\nAnswer: 11075\/11313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.539453ug in tonnes?\nAnswer: 0.000000000007539453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 383650.1s to milliseconds.\nAnswer: 383650100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 i when two letters picked without replacement from {i: 1, k: 1, w: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -93*0.5\nAnswer: -46.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0555 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -18.6, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 217*x - 170. Is 18 a factor of g(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31199 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-27 - (-33 + 4)) + -5 + -42?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 33\/4*280\/15. Let i be 16\/y + 14\/77. Which is smaller: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccj when three letters picked without replacement from {j: 9, c: 2, z: 8}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*m - 20 + 44 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(-5)*j)\/j*j**(6\/11)*j)\/((j**(1\/4)*j*j)\/(j*j**5\/j*j)) assuming j is positive.\nAnswer: j**(57\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*p + 3*w + 27, -w + 35 = 3*p - 6*w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 4, -2, -17, -84 in descending order.\nAnswer: 4, 3, -2, -17, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 2\/19, -2\/13, -1\/13, -4?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5, -1\/5, 0.3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + (5 - 1) - -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**2 + 4. Let a be ((-2)\/(-4))\/(1\/8). Let b be (-1)\/(-2) - (-18)\/a. Suppose -b*f + 3*i = 12, 2*i - 3 - 5 = 0. Determine l(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.6207 + -4.7147. What is a rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -919, -3153, -6699, -11563, -17751, -25269?\n\"Answer: -x**3 - 650*x**2 - 277*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - (-77)\/(-11)) + (8 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*u**5 + u**5 + 3*u**5 + (-1 + 1 + 2)*((-4*u**2 + 4*u**2 - 2*u**4)*(2*u - 5*u + 2*u) + 130*u**5 + 147*u**5 - 238*u**5).\nAnswer: 84*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1342 + -10441423?\nAnswer: -10443320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 183534689?\nAnswer: 13, 37, 381569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/6048 and -115\/5992112.\nAnswer: 323574048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 123 in -0.105, -120, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - -18. Calculate the lowest common multiple of d and 5.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 4*w + 12. Let f be q(-3). Let x = 120.3 + -119.8. Put -1\/2, f, 2\/31, x in descending order.\nAnswer: x, 2\/31, f, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ch when two letters picked without replacement from {c: 6, h: 5, x: 2}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 164 a factor of 5538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3071, -6142, -9213, -12284, -15355?\nAnswer: -18426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - -27b9?\nAnswer: 27b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -35231, -35232, -35233, -35234?\n\"Answer: -i - 35230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = -7*p - 20 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 135*z**3 + 2*z**2 + 16*z - 4. Let b(o) = 90*o**3 + o**2 + 10*o - 3. Let n(w) = 8*b(w) - 5*d(w). Find the third derivative of n(j) wrt j.\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.1 + 1.1. Let h = 292.5 + -293. Which is the closest to -0.1?  (a) 4  (b) u  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/10 and 17\/551?\nAnswer: 5510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence epdb when four letters picked without replacement from pdpedeeldebjljeeppjj?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13*g**3*u**3 - 2*g**3*u**2 - g**3*u - 36*g*u wrt u.\nAnswer: -78*g**3*u - 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**3 - 4*q**2 + 5*q - 3. Let j be c(3). Suppose j*t - 9 = 45. What is the second derivative of t*k + 330*k**5 - 321*k**5 + 8*k wrt k?\nAnswer: 180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 57  (b) 3  (c) -5  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -44432 (base 6) in base 3?\nAnswer: -22112002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**2\/7 - 3196*z\/7.\nAnswer: -2*z*(z + 1598)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06201 rounded to three decimal places?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -17574.7 to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*s + 10*s - 18*s to a + h*s and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3637 or -40012\/11?\nAnswer: -3637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 32 = -5*v, -3*m + 0*m - 18 = -2*v. Calculate the least common multiple of v and 2\/(-4)*-2 + 23.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1\/1635 + -85009\/17985. Find the common denominator of -1\/22 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -448 = 61*r - 173*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1845 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: Put 1, 0.19, -5, -8191 in increasing order.\nAnswer: -8191, -5, 0.19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d**4 - 6090*d**3 + 52435643*d**2 + 187899849060*d - 951959072499556 = 0 for d.\nAnswer: -7282, 4237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 895666.4 litres?\nAnswer: 895666400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/13, -0.08, 2159155 in increasing order.\nAnswer: -2\/13, -0.08, 2159155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -229 - -232. Let j(m) be the second derivative of 0 - 5\/6*m**3 + 0*m**2 - l*m. Let f(y) = -3*y. What is j(f(q))?\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31111211 (base 4) to base 2.\nAnswer: -1101010101100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = k + 2*b + 2, 115469*b = -2*k + 115466*b - 8 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 4*a - 926, 195 = 4*a - 5*m - 727. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 5, o: 13}. Give prob of picking 1 d and 2 o.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 731461.6 nanograms to tonnes.\nAnswer: 0.0000000007314616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, 2\/5, -0.23, 5, 3, 2.75?\nAnswer: 2.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -94063\/18 + 5227. What is the common denominator of g and (-1)\/(30\/(-304)) + 56\/(-14)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000002658 rounded to 7 decimal places?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**3 - 5*s**2 + 3*s + 5. Let w be k(4). Let q = 155 + -155. Let i = w - q. Is i at least 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -475.668 + 0.668. Let l = j - -475.1. What is the closest to l in 1, 4, -2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sfs when three letters picked without replacement from snfooosnesnnnnnnnf?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 12\/5, 6183, 0.3, -1\/5, 1.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2729, 4205, 5667, 7109, 8525?\nAnswer: 9909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = s - 10. Let z be 9\/(1 + -2 - (0 - s)). Solve 4*a = 3*r + 8 + z, 11 = -4*r + 3*a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 46885*q*v + 17*q + 364313*v - 1 wrt q.\nAnswer: 46885*v + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.90133l in millilitres?\nAnswer: 14901.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - 9 - (-8 + 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 100090*n - 7006301. Determine r(70).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 5*6*(2*(sqrt(114) - (sqrt(114) + (2*sqrt(114) - sqrt(114)))))\/sqrt(6))**2.\nAnswer: -480*sqrt(19) + 68416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 168.7876 * -0.3\nAnswer: -50.63628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(242) + 3 + sqrt(242) + -1 + sqrt(242)*-1 + 5 + sqrt(242) + ((sqrt(48)\/sqrt(4) - sqrt(12))\/sqrt(2))\/((sqrt(99)\/sqrt(3))\/sqrt(11)))**2*-6.\nAnswer: -6102 - 1848*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 78  (b) 55  (c) 585  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 65134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 133.075538 rounded to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1\/14*56\/16*4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**2 + 2*w - 1. Let f be k(0). Let v(q) = 7*q**2. Let d(x) = x**2. Let t(i) = f*v(i) + 6*d(i). Let r(o) = -8*o. Determine r(t(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from deonjnjdojoyoonodoee. Give prob of sequence de.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 454*a**2 - 234*a**2 + 10*a**3 - 220*a**2.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 48\/28 + (-4)\/(-14). Find the second derivative of -q**2 + 50*q + 24*q**y - 34*q wrt q.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f*f*f**5)\/(f*f\/f**(-4)*f))\/(f**(-4)*f*f\/((f\/f**0)\/f)*f))**(-2\/7) assuming f is positive.\nAnswer: f**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -414 + 414 - 639*y**3 + (5*y**2 + 2*y**2 - 6*y**2)*(-6*y + 2*y + 2*y) in the form o + q*y**3 + u*y + r*y**2 and give q.\nAnswer: -641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 53947 - -94240. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 70 and 920?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 5172*t - 378123. Give k(73).\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 769608.\nAnswer: 2, 3, 7, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that 10*a**4\/9 + 1094*a**3\/9 - 33014*a**2\/9 + 69790*a\/3 + 9900 = 0.\nAnswer: -135, -2\/5, 11, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -311*n**2 + 937*n**2 - 315*n**2 - 312*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 - (-15 - (-47 + 23)) - 25 - (13 + 0).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = 13*n - 39. Let m(v) be the first derivative of 0*v**2 + v - 1\/4*v**4 + 3 + 0*v**n. Differentiate m(p) with respect to p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - (-4 - 3)) + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (1\/7*40)\/(3082\/(-10787))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5 + 5 + 1)*(3*l - 3*l + 2*l) - 5 + l + 5)*(2*l**2 - 2*l**2 + l**2)*(-22 - 27 + 14).\nAnswer: -105*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-6)*k)\/k*k*k*k**(2\/15))\/(k\/k**(2\/7))**(4\/17) assuming k is positive.\nAnswer: k**(-7202\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18971*k + 1890216 = 4365*k for k.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-17371)\/(-1008) + (-2)\/(-9). Let v = -13\/7 - -213\/112. Let h = v + w. Find the common denominator of -5\/14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7 by -372696.\nAnswer: 7\/372696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*f**3 - 11*f**3 + 5*f**3 - f**3 - 2*f**3.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 2*t - 14*t + 7*t + 3*t. Let v(q) = -2*q. What is x(v(i))?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 984 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i**2 + i**2 + 3*i**2)*(-i + i + i**2) + 4*i**2 - 4*i**2 - 5*i**4.\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 575, 560, 543, 524, 503, 480, 455?\n\"Answer: -w**2 - 12*w + 588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -183 - -192. Calculate the greatest common divisor of 51 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.2  (b) -20  (c) -662\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of 0*r - 7\/3*r**3 + 0*r**5 + 0*r**4 + 0*r**2 + 9\/7*r**7 + 0*r**6 - 3. What is the third derivative of l(w) wrt w?\nAnswer: 1080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - ((370\/150 - 2\/15) + -3)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4 + 4038)\/(-3 - 15\/(-3)). Let g = -480 + t. What are the prime factors of g?\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6160 and 3310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -1531*p + 1589*p - 1604454. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1*-4*1\/6)\/((-572)\/234).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -4*l + 3*f, 0 = -4*l + f - 0 - 10. What are the prime factors of 174\/3 - (-2 - (-2 - l))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*-112.2\nAnswer: 112.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2408.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*r + 41*r - 4 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1395 and 32004400.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1 and 257797?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 0*a**2 - 2*a**2 + 4*a**2. Let c be 0 - (-1 - 0 - -2). Let h be n(c). Solve -g + h = 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 16\/203?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -81\/3498176 and -67\/546590?\nAnswer: 17490880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 16 = h, 3*h - 242*v + 240*v - 18 = 0. Factor 6\/11*o**h + 2\/11*o**5 + 2\/11*o**2 + 0 + 0*o + 6\/11*o**3.\nAnswer: 2*o**2*(o + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 369261.\nAnswer: 3, 89, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 652*q - 2. Let d(k) = 4085 + 4048 - k - 8133. What is d(l(a))?\nAnswer: -652*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 11 + 3. Let c = n - 7. Suppose -3*a + 8*a + 2*v - 18 = 0, 0 = a - v - 5. Solve -a*i - c = -23 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -25 + 26. Which is smaller: m or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -256354 and -804.319076.\nAnswer: -257158.319076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of -h**3\/2 + 270*h**2 - 48600*h - 559. Find r such that l(r) = 0.\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -13748, -13752, -13756, -13760, -13764?\n\"Answer: -4*l - 13744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**8)**(-30)\/(l*l**(-1\/11)*l*l**(-1)) assuming l is positive.\nAnswer: l**(-2650\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 63 and 1791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35\/(14 + -9) - -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.1 + 0.6. Let t = 7 - 2. What is the closest to -1 in 0.5, t, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1853 - -1859. Let w(o) = o**2 + o + 1. Suppose 0 = 5*r - 1 + 6. Let y(x) = 4*x**2 + 5*x + 4. Give r*y(k) + v*w(k).\nAnswer: 2*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 453*t + 1662. Give q(-4).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-9\/2)\/(x**6\/x*x)*x\/((x\/x**(1\/6))\/x)*x**7)**(-48) assuming x is positive.\nAnswer: x**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 104501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.07 + 1.93. Let j = f + -1.9. What is the nearest to 0.1 in 2\/3, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -1 + 3*k**2 + k - k - k - 2*k**2. Let u be t(3). Suppose -u*w = 4*f - 5000004, 2*w - f + 5000001 = 7*w. What is w rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -17  (b) 4\/15  (c) 3  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -336*o - 125 = -341*o. Which is the nearest to 3?  (a) o  (b) 0.2  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -3*l. Let b(k) = -2*k. Suppose -5*t = -9*t + 2*g + 30, 0 = -5*t - 2*g + 24. Let q(c) = t*d(c) - 10*b(c). Let j(p) = 125*p**2. Calculate j(q(w)).\nAnswer: 500*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the first derivative of 16\/3*u**3 + 0*u - 25\/2*u**2 + 24. Find the second derivative of r(g) wrt g.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 409*o + 4271 = 115*o - 9841 for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18*m**3 + m**2 + 13*m**2 - 2*m**5 + 383*m**4 - 373*m**4 - 4*m.\nAnswer: -2*m*(m - 2)*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -2*v. Let x(m) = -m. Let a be x(v). Let o be 6 + (0 - (a - -3)). Solve -3 - o = -2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*m**4 - 84*m**3*y**2 - 7*m**3*y - m**2*y**2 + 37*m*y**2 + 794*m*y wrt m?\nAnswer: 144*m - 504*y**2 - 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the first derivative of -3*c**5\/10 + 3*c**4\/2 - 3*c**3 + 3*c**2 - 3*c\/2 - 3. Factor z(j).\nAnswer: -3*(j - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 128, 253, 378, 503, 628?\nAnswer: 753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*p - 46, 173*p - 347*p + 61 = 8*i - 177*p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -820 + 828. Suppose -5*t = 5*z - 5, 0*z + 14 = -z + 2*t. Let p = -657\/5 - -132. Which is the smallest value?  (a) p  (b) u  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1200145\/1778 - -472\/9779. Let m = 670 - z. What is the common denominator of m and 81\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-nine halves of a litre in millilitres?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 9*h + 54. Let g be b(-6). Suppose g = 5*p - 17*p + 48. Solve 0 = p*s - 1 + 9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2404 (base 5) to base 10.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -21*t + 9*t - 8*t**4 - 10*t**4 + 3*t**4 - 3*t**3 wrt t?\nAnswer: -180*t**2 - 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (184\/126)\/(52992\/278208)?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 28 and 777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 79307 and 5041?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-16 + 1)*(-2)\/6. Suppose -b*x = -2*g - 24, 11 = 4*g - 1. Find the third derivative of -6 + 2*m**2 - 3*m**6 + x wrt m.\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 3008 = -2*f - 26072, -57670 = -5*b - 5*f. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-19)\/4 - (-1225)\/140. Which is the closest to 13?  (a) 5  (b) 1\/2  (c) k  (d) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/3, 2, 3, -0.1965, 0.3 in descending order.\nAnswer: 3, 2, 4\/3, 0.3, -0.1965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**3 + 2*r**2 - 4*r. Let s be v(3). Suppose -x + b + 15 = -0*b, 0 = 2*x + b - s. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -1 + i + 5 - 3. Let h be t(3). Let r = -7961 - -7967. Solve r*p - 4 = h*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 4, z: 3, v: 2, q: 1}. What is prob of sequence rrvv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.96 + 2.03. Which is the closest to 3\/4?  (a) l  (b) -2  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 6945*u + 55560. Calculate d(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.0048 and -8.\nAnswer: -7.9952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*t**3 - 3*t**3 + 0*t**3 + (2*t**3 + 3*t**3 - 4*t**3)*(-2 - 6 + 7).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, o: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ugmamgauguju. Give prob of sequence au.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 131a33 (base 12) to base 13.\nAnswer: b005b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -3*b**2 + 2. Let m(l) = 11*l**2 + l - 9. Let x = 34 - 29. Suppose -2*v + 2*n + 10 = 0, x*v + n = -4*n - 5. Give v*m(c) + 9*d(c).\nAnswer: -5*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o + 2*o + 5*o)*(-4 + 9 + 6).\nAnswer: 66*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:56 PM and 6:37 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 17*((-1110)\/(-518) - ((-4)\/(-5))\/((-4)\/(-10)))?\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 421 = -409. Solve -2*k = s + 7, 0 = -2*a - 5*k - 31 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 22 and 2982.\nAnswer: 32802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -33059371700 rounded to the nearest one million?\nAnswer: -33059000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 56383*q**3 + 15177*q**2.\nAnswer: 338298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 12 - 9. Suppose k + h = -5*b - 24, -5*k = 2*b + 10. Solve -d + 0 = -k for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -29773 - -43718. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the second derivative of l**5\/20 + 7*l**4\/12 + 5*l**3\/6 - l**2 + 3*l. What is the units digit of r(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyyaaoyaaoayayay. What is prob of sequence yo?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**3 - 6*d**2 - 3*d + 4. What is v(-4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 3*p - 2*w = 0, -3*p - 5*w + 24 = 0. Let x(d) = -d**3 - 3*d**2 + 3*d - 4. Let i(m) = m**3 + 2*m**2 - 2*m + 3. Give p*i(a) + 2*x(a).\nAnswer: a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -1  (b) 54  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60)\/(sqrt(48)\/sqrt(4)) + -5)**2 + 5 + (5 + (sqrt(10)\/sqrt(2) - sqrt(5)) - sqrt(5)).\nAnswer: -11*sqrt(5) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the first derivative of p**4\/32 - 13*p**3\/24 - 7*p**2\/8 + 25. Factor g(c).\nAnswer: c*(c - 14)*(c + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 54604130 or 54604131?\nAnswer: 54604131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 22899 divided by 7633?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10460 divided by -18822.\nAnswer: -5230\/9411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 80.585 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1)\/3)\/((-2)\/2). Let v(r) = -2*r + 6. Let u be (-4)\/10 - (4 - 192\/30). Let i be v(u). What is the nearest to y in -0.05, -0.3, i?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8 and (381 + -357)\/((-1)\/(1*-2)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 4*a - 11, a - 4*v + 6*v = 5. Let o(c) be the third derivative of c**4\/24 - 2*c**3\/3 + c**2. Let z be o(6). Solve -a*k = 13 + z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5014200.18 rounded to the nearest ten thousand?\nAnswer: 5010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68*u + 394*u - 13692 = 0. Solve -4022*s + u = -4016*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 149 + -149.06. Let o = -0.06328 - d. Round o to four decimal places.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/107?  (a) -2  (b) 2\/31  (c) -0.02  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 3*d = -24, -3*y = -5*d - 40 + 2. Solve -c + y = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 divided by 93.\nAnswer: 8\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, m: 9}. Give prob of sequence jj.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (0 + 5\/(-10))*40?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lzzzjljzjj. Give prob of sequence lzll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 42*m - 105*m + 27 + 49*m - 4. Let c(h) = 5*h - 8. Calculate 17*c(n) + 6*t(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 36266117521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -10212220010112 (base 3) to base 16\nAnswer: -1f80ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 4 = -t. Suppose 2*h + h = -5*w + 39, 0 = -5*w - t*h + 42. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 3 + 4 - 1 - 42*x**2 + 6*x + 1. Let n(v) = -v**2 + v. Let a(i) = -b(i) + 6*n(i). What is the derivative of a(m) wrt m?\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 4*f = -6, -5*f - 6 = 2*c - 4*c. Let b = 2 + c. What is the highest common factor of b and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2935712 and 25179376?\nAnswer: 654663776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1731519 - 1731519 + 225*q**2 - 1040*q**2.\nAnswer: -815*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 2*s - 28. Let t be s\/(-147) - (-58)\/14. Let j be -1*(-3 + t + -2). Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (-76 + 67 - (-15 + -2)) + 1 - 59\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.28 and 128?\nAnswer: 128.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (18 - (-40 - (-6 + 6))) + -31\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -12?  (a) -11  (b) -10  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (37 + 1 + 7 + 34)*(7*w - 4*w + 2*w)*(-2 + 0 + 0).\nAnswer: -790*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**2 + 4*p - 1. Let c be w(-5). Let o be -2 + c + (0 - -2). Suppose -o*l = -50 - 138. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39150?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 4*u + 11 = -m, 2*u = -4*m + 22. Suppose -m*l + 221 = -19. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, k: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 628 + -633. Which is the third smallest value?  (a) -2  (b) s  (c) 1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*q + 5 = -1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 28856 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -0.7, 2, -4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38, -68, -98, -128?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 17728 and 17726 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9054205.\nAnswer: 5, 857, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8\/3 in 2\/21, 105, 3, 52828?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -105*v - 7. Let t(y) = -35*y - 2. Let q(a) = -7*t(a) + 2*w(a). Let p(o) be the second derivative of o**3\/2 - 661*o. Calculate q(p(u)).\nAnswer: 105*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 6 + (-4)\/(-3)*(-9)\/6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10\/649 - -9037\/38940. Let n(y) be the third derivative of 0*y + 12*y**2 - 1\/40*y**6 + 0 - w*y**5 - 2\/3*y**4 - 2\/3*y**3. Find b, given that n(b) = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -112023 (base 4) to base 15.\nAnswer: -649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 - -4. Suppose 9 = -s*o + 36. Factor 5*i**3 - o*i**5 - i**5 - i**3 - 6*i**4.\nAnswer: -2*i**3*(i + 1)*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 789.4052 tonnes in micrograms?\nAnswer: 789405200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**3 + 21*u**2 - 52*u + 110. What is the remainder when l(-23) is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10373 and 6478?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002072515 rounded to 5 decimal places?\nAnswer: 0.00207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(1\/10)\/n*n**26 assuming n is positive.\nAnswer: n**(251\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + 44010111?\nAnswer: 44010103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 559 - 4897. Let z = x + 6491. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 45033 by 1.\nAnswer: 45033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 123236*m - 61471*m + 46 - 46 - 61752*m.\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/21*((-2268)\/40)\/27?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 15 = -0*g. Let t(r) be the third derivative of r**4\/12 - r**3\/2 + 4*r**2. Is t(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3, 0, -3, -6, -9?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbvevbvvvbbbbbbvbbb. Give prob of sequence bvb.\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*g**2*v**2 + g**2*v - g**2 - g*v - 2404*g - 209228*v**2 wrt v.\nAnswer: 4*g**2 - 418456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 86 + 78 - 164 - 11*h - 3*h.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/(-6) - (1 - -12). Let o(k) = 24*k**3 - k**2 + k. Let g be o(1). Let n = m + g. 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 53 minutes before 6:36 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -10 times 2.5\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10000000000101011 - 1000110?\nAnswer: 1111111111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*c + 3*c - 90. Let f = 20 - 19.8. What is the closest to 0 in c, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the third derivative of 0*w**3 + 0*w + 0*w**6 - 1\/8*w**4 + 0*w**5 - 8*w**2 + 0*w**7 - 3\/112*w**8 + 0. Find the second derivative of x(l) wrt l.\nAnswer: -180*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 1\/10  (b) -349  (c) -11  (d) 3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 44235962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**43*g)\/g**(22\/5) assuming g is positive.\nAnswer: g**(203\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from {u: 2, v: 6, s: 2, a: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 6  (b) 1495  (c) 0.5  (d) 0.2  (e) 5  (f) -0.5  (g) 81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*g**3 + 54*g**3 + 38*g**3 + 57*g**3.\nAnswer: 160*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1602 (base 8) to base 16\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8619 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -i + i**3 - 7 + 21 + 28 - 7*i**4 + 8*i**4 - i**2 as p*i**3 + y*i**4 + m*i + f*i**2 + u and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4157 a factor of 28482883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 19895941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 439519210 to the nearest integer?\nAnswer: 20965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -2*w**2 + 328*w - 13456. What is n(81)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1120221 - -1001212?\nAnswer: 2122210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14 and 742?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 + -2 + (-1)\/4. Let r be 3\/(-5)*2\/(-6). Which is the closest to 0?  (a) r  (b) 3\/4  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16156335409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 306125 and 250?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -167*x = -12*x + 14*x. Let c = 2 + 1. Which is smaller: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4509306 (base 10) in base 8?\nAnswer: 21147172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -6, 3, 18, -8, -5, 56.\nAnswer: -8, -6, -5, -4, 3, 18, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*l**4\/7 + 66*l**3\/7 - 430*l**2\/7 - 1650*l\/7 + 9500\/7 = 0. What is l?\nAnswer: -38, -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) -0.29  (b) 0.1  (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15360 divided by 5.\nAnswer: -3072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (18\/5 - 2)\/(182\/130). Let i be 3\/14*(-4)\/(-3). Factor f + i*a**2 - 8\/7*a.\nAnswer: 2*(a - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 116541 = -12213*q + 2345*q - 396595 for q.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 307 is divided by (21\/(-14))\/((-6)\/124).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-141)\/(-27) - 2\/9. Differentiate 3 - 6*n**2 - s*n**2 + 8*n**2 with respect to n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Let t = 9173 - 8795. Solve 0 = 7*r + 385 - t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.635397 - 44.618903. Let f = -0.0457 + z. Let s = f - -45. Which is smaller: s or 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, v: 1, u: 1}. Give prob of sequence tutv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1793 by -10.\nAnswer: -1793\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, -5, -9\/4, 2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-1*2)\/(-2)*(-22062)\/253713\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 44440 - -204?\nAnswer: 100144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1\/39  (b) 2\/11  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 575.48976 + -572.2897747. Let t = 3.2 - u. What is t rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, v: 1, z: 2, d: 4, r: 2}. What is prob of sequence rvz?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/23, -4, 5, 46\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.2 or -0.7078641?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**3 + h. Let s be b(-1). Is 8 a factor of (0 - s) + 1 + 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23670\/(-8416)*4\/(-21)*(-24)\/(-54)?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (9 + 0)*(16 + -15). Let p = 36 + 9. What is the greatest common factor of p and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the first derivative of -r**3\/3 - 3*r**2\/2 + 4*r - 6. Let p be u(-4). Solve p = 4*x - 0 - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*j**5 + 688*j**4 - 71540*j**3 = 0. What is j?\nAnswer: -245, 0, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.019 and -115.\nAnswer: -114.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4987*n**4 - 2*n**2 + 10695*n - 200607571 wrt n?\nAnswer: -19948*n**3 - 4*n + 10695","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 528720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(8)*2.\nAnswer: 3 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11 and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18789\/4 - -4701. Put -10, m, -4 in ascending order.\nAnswer: -10, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.8332 to 1 dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 + 8*k**2 + 10*k - 7. Let c be h(9). Suppose -4*v - 13 + 238 = 5*a, c*v - 4*a - 132 = 0. Calculate the greatest common factor of v and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 21, -0.1, -2, -189?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (-10)\/(-1)*10 + (-235 - -234) and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 + 13*l. Calculate k(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2 - 2. Let y = -12 + 19. Suppose 3*f = y - 1. Suppose -1 = f*j + 3. Calculate m(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -4*q - 1, 5*q = -4*y + 241. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 388 + 18*u - 263*u - u**3 + 3*u**2 - 5*u**2.\nAnswer: -u**3 - 2*u**2 - 245*u + 388","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 107 is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 4*o + 1847 = 0, -5*o = -26*y + 24*y + 1193. Calculate the least common multiple of y and 870.\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1258367 to the nearest integer?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -16683951 greater than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2\/23)*l)\/(l**(1\/4)\/l)*(l\/(l*l*(l*l\/l**(2\/23))\/l*l*l)*l*l)\/l*l*l**(-2) assuming l is positive.\nAnswer: l**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10333227.\nAnswer: 3, 457, 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkkj when four letters picked without replacement from kkkkbjbkkjkjkkk?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes before 11:53 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00159831885 rounded to four decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are -41 and -239 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (2 + -1 + (sqrt(6912) + 2)*5)**2.\nAnswer: 5280*sqrt(3) + 172921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.1 - -0.9. Let t = h - 1.1. Let m = -0.00437 - -0.20437. Which is the nearest to m?  (a) t  (b) -4  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -31 + ((11 - (10 + -10)) + 6 - 7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 97885 (base 10) to base 2\nAnswer: 10111111001011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -207, 2, -5\/6, 2\/9, -0.6, -0.02?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (29 + 27 - 35)*((-4 + 2 + 0)*(5*k - 3*k + 0*k) + k - 2*k - 2*k).\nAnswer: -147*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m = -4*m. Suppose m = -k - 5*o + 48, 5*k - 3*o - 94 = 146. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -84573, -676648, -2283695, -5413200, -10572649, -18269528, -29011323?\n\"Answer: -84581*j**3 - 8*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10)\/4 + 65\/26.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -47 + 52. Suppose x = 2*w + q, x - 5 = -3*w + 2*w. Suppose -3*p - 8 = 3*u - 8*p, 3*p = 5*u - 8. Solve -4*b - 4 = -u*s, x*b - 21 = -5*s - 66 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + 3 = 0, 6*l - 4*l = -5*n + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5837247 is divided by 3568.\nAnswer: 3567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4 - -1*(-1 - 15\/(-3)). Suppose 9*z + n = 116. Solve 4*d - 4*i + z = 0, -d - 2*i + 6 = 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the first derivative of -2*w**2 - 1. Suppose -84 = -4*z - 4*l, -4*z + 4*l - 2*l = -102. Let v(j) = -22*j + 4*j**2 + 46*j - z*j. Calculate s(v(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 37 - 43. Let m be 3 - (a + 4 + 14). Let r(i) = i**3 + 8*i**2 - 20*i + 5. Does 26 divide r(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes after 1:56 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 - -6. What is the third derivative of -8*f**2 + 47*f - 47*f - w*f**5 wrt f?\nAnswer: -780*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 - (-14 + 11 + -4 + 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g - 2*g + 4*g)*(-2*g**2 - 62*g**3 + 50728 - 4*g - 50728).\nAnswer: -124*g**4 - 4*g**3 - 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-3\/7)\/(b\/((b**(-10)\/b)\/b)) assuming b is positive.\nAnswer: b**(-94\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3241 + -149a?\nAnswer: -4730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2376, 4912, 7430, 9930, 12412?\n\"Answer: -9*v**2 + 2563*v - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**3 + 17*a**2 + 82*a + 3830. What is j(-21)?\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14161426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 396 a factor of 27724752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -9*a - 2. Let o(t) = 9*t + 2. Let d(p) = -3*o(p) - 4*q(p). Let w(s) = -280*s - 63. Calculate -63*d(y) - 2*w(y).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**3 + 6*l**2 + 4*l + 11. Let q be w(-5). Calculate the highest common factor of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 112 divided by 2\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 1091*k + 106*k**3 - 1091*k + (-14 + 11 - 17)*(k**3 + 2*k**3 - 5*k**3) + 3*k**3 - 4*k**3 - k**3 as x*k**3 + w*k**2 + g*k + v and give x.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 4  (b) -3  (c) 95  (d) 3  (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the first derivative of v**4\/4 + 2*v**3 - v**2 - 5*v - 86. What is u(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3086308 and 2354?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (163 + 94 - 60)*(u - u - 3*u) to the form d*u + t and give d.\nAnswer: -591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 35, 3626, 0 in descending order.\nAnswer: 3626, 35, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*s + s**2 + 0*s - s**2 - 3*s**2 + 2*s**2 + (5*s + 0*s - 3*s)*(-2*s - 3 + 3) - s**2 + 4*s**2 - s**2 + (4*s + 0*s - 2*s)*(-2*s + 0 + 0).\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*g**5 + 17627*g**3 + 65630*g**2 wrt g?\nAnswer: 120*g**2 + 105762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 120731408 + -120731418.0000074. Let k = 10 + m. What is k rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*-4389\nAnswer: -1316.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:55 PM and 11:42 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (172\/22)\/2 + -4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1266.9854 to 1 dp.\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 10*b + 31. Let u(t) = -17*t - 63. Calculate -3*u(n) - 5*w(n).\nAnswer: n + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.09 - 0.69. Let w = s - -0.6. Sort 4, -3\/2, w in decreasing order.\nAnswer: 4, w, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t + 1. Let w(g) = 3*g - 9. Let p(i) = 6*u(i) + w(i). Calculate p(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the third derivative of -o**6\/320 + 11*o**5\/160 + o**4\/64 - 11*o**3\/16 + 117*o**2. Factor g(r).\nAnswer: -3*(r - 11)*(r - 1)*(r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 90 and 1350.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 87.24674 decades?\nAnswer: 872.4674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*z - 34*z + 426792 + 809106 = 0. What is the highest common divisor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/2*3*4. Let c be (a\/(-75))\/(3\/15). Factor -2\/5*x - 4\/5 + c*x**2.\nAnswer: 2*(x - 2)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**3 + 11*x**2 + 13*x - 7. Let y be s(12). Suppose 2*v + 3*v - 4*q = -891, y*q + 5 = 0. Round v to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 11:08 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1845 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1443213*k*u**3 - 8*k*u**2 + 10386*u**2 wrt u?\nAnswer: 8659278*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -d**2 - 27*d + 2*d**2 + 20*d - 2*d**2.\nAnswer: -d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -105.9 - -106. What is the closest to -0.05 in 3\/8, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.04 - -1936156.\nAnswer: 1936155.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3626323 years to months.\nAnswer: 4.3515876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve f = f + 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 3*h - 4. Let p = 0 + -5. Let f(b) = -2*b + 2. Give p*f(i) - 3*r(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0196 minus 2.63096?\nAnswer: -2.61136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 107490 divided by 3.\nAnswer: 35830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 536, 1068, 1600, 2132, 2664, 3196?\n\"Answer: 532*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.8 * 70.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2238246 and 11403.\nAnswer: 15667722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1546, 3093, 4638, 6181, 7722, 9261, 10798?\nAnswer: 12333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -16.9 times 0.6\nAnswer: -10.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 536*w**3 + 4*w**2 + 3*w - 3. Let q(b) = 544*b**3 + 5*b**2 + 4*b - 4. Calculate -4*f(m) + 3*q(m).\nAnswer: -512*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/7)\/(4\/14). Suppose -6*n + 12 = -q*n. Suppose n = -2*h - 5. What is the closest to 1 in h, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25804623 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4445933*u**2*x - 3*u**2 + 2*u*x - u - 290951649*x - 2 wrt u.\nAnswer: -8891866*u*x - 6*u + 2*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1338825?\nAnswer: 3, 5, 17851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2241445 is divided by 2550.\nAnswer: 2545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 26 + -25.5. Let m = 85\/77 - 9\/7. Put a, 1, m in decreasing order.\nAnswer: 1, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*j = 7*j + 21. Let o be (-1)\/(6 - j - (-2)\/3). Find the third derivative of -2*n**o - 12*n**3 + 9*n**2 - 3*n**3 wrt n.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 1056 = -w + 5*u, 541 = w - 4*u. Let o(f) = -533 - f + w. Let q(r) = 31*r. Calculate o(q(m)).\nAnswer: -31*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(500) - (sqrt(500) - (3*sqrt(500) - sqrt(500)))) + 0)**2.\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -713, -2\/17, 3, -0.1, 4 in ascending order.\nAnswer: -713, -4, -2\/17, -0.1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2 - 3)\/((-2)\/2). Let m be (1 - l)*(-15)\/(-30). Suppose -1 = -i - m*i. What is the remainder when 3 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 0 + 75622*p**2 - 12*p**4 - 72967*p**2 + 0 + 8*p**3 wrt p.\nAnswer: -288*p + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 447, 440, 433, 426?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -3 + (11 - 2) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1025, 107.\nAnswer: -1, 107, 1025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 44789 = -2*b, 5*n + 24*b - 19*b - 74665 = 0. Is n a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**3 + 19*t**2 - 2*t - 31. Give s(-19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, 1, 30, -101 in decreasing order.\nAnswer: 30, 4, 1, -4, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 5*g. Suppose g*a + 5*a = 30. Is a != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1946026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -166 - 86. Let j be 2\/(-11) - q\/(-66). Let a(t) be the first derivative of -t**3\/3 - 2*t**2 - 4*t + 1. Determine a(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 + 715a?\nAnswer: 7162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 - 2 - 22) + -4. Is q != -57\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(847) + 2)*-1 - sqrt(847)) + -3*sqrt(847)*5)**2.\nAnswer: 748*sqrt(7) + 244787","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((28\/21)\/(-4))\/(4\/(-60)*1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -12 + 8. Let l = -47\/8 + 6. What is the biggest value in -0.1, a, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (5 - 4) - -7 - (13 + -52 + 15).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-72)\/126)\/((6\/4)\/((-441)\/28))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*3*(sqrt(76) - (sqrt(76) + 1*sqrt(76))))\/(-2*sqrt(400)*2 - sqrt(400))*5.\nAnswer: 3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 27*i**3 - 3*i**2 - 20*i + 7. Let o(k) = -k**3 + 4*k - 2. Let u(w) = l(w) + 5*o(w). Let p(y) = -66*y**3 + 8*y**2 + 8. Calculate 3*p(v) + 8*u(v).\nAnswer: -22*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 5*a**2 - 5. Let r(g) = 0*g + 0*g + 5*g**2 - 9 + 3. What is 6*d(p) - 5*r(p)?\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 160400 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that 14*t**3\/9 - 746*t**2\/9 + 940*t\/9 - 208\/9 = 0.\nAnswer: 2\/7, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*2*sqrt(550))\/(sqrt(10) + sqrt(120)\/sqrt(3)))\/(sqrt(11) + sqrt(264)\/sqrt(6) + -6*sqrt(1100)).\nAnswer: -10*sqrt(5)\/171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -67067, -67040, -66995, -66932, -66851?\nAnswer: -66752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -27.18 + 0.18. Sort g, 4\/3, -0.2.\nAnswer: g, -0.2, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7254024851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -69060 divided by 15.\nAnswer: -4604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) 2\/25  (c) 184  (d) 2  (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c + 7 + 3. Is -4 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -54089 by -7.\nAnswer: 7727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 626369?\nAnswer: 47, 13327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 134 and 2680.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 252\/(-56)*(-32)\/9.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i + 171 = 191 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -24*k + k**2 - 2*k**2 + 46*k as z*k**2 + u*k + i and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**2 + 4643*m - 1779651. What is t(356)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 49532 and 4292.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9155848099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**3 - 44*c**2 - 18*c + 636. What is the ten thousands digit of q(50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**2 + 14*g + 13. Calculate f(12).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -4\/7865 and 69\/1850836.\nAnswer: 1119755780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is cb8 (base 14) in base 15?\nAnswer: b29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 620 + -273. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-1)\/(-1*43))\/((-17)\/17). Let k = n + 231\/688. Is -1 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n - n - 2*n)*(0 - 1 + 4 + (0 + 2 - 4)*(2 + 0 + 0) - 1 - 2 + 2)*(-16*n**2 + 0 - 2 + 10*n**2)*(n**2 + 0*n + 0*n).\nAnswer: -36*n**5 - 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 76211190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**3 - 7 + 12 + 8*d**2 + 2*d + 2*d**3. Let o be i(-8). Let w = 3 - o. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:10 AM and 11:25 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d**5 + 47*d**4 + 212*d**3 + 76*d**2 - 336*d = 0. Calculate d.\nAnswer: -42, -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0201 to 3 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1593 is divided by 712.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 863*b**2 + 1 - 867*b**2.\nAnswer: -4*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -45*o**4 + 5475*o**3 + 7360*o**2 + 2460*o.\nAnswer: -5*o*(o - 123)*(3*o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -3*f + 20. Let q be z(4). Suppose -2*j + 2 = -4*d + 6, -4*d + 4*j + q = 0. Solve d = -5*b - 0*b + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the second derivative of a**4\/4 - a**3 + a**2\/2 - 5*a. Let g be v(3). Solve q = 2*j + 11, -5*j + 5*q = 30 + g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5 + 1)*(-91)\/52. Which is smaller: 8 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**3 - 9*h**2 + 15*h + 5. Suppose 4*z = -245 + 329. Calculate the remainder when k(-11) is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -0.5, 3, -9, 0.2, -3 in ascending order.\nAnswer: -9, -3, -2, -0.5, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -0.2, -1\/106, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.094  (b) 135685  (c) 0.2  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2506915853?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-85)\/(-10) - 9) + 25546\/9212. Let l = 150\/47 - g. What is the common denominator of 117\/10 and l?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 82*p - 86*p + d + 7, 2*p - 44 = -18*p - 4*d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vkii when four letters picked without replacement from vkirvvri.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 - -14. Let l = -5 + q. Solve -l*u + 4 = 16 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h + 3. Let i be d(3). Suppose i*u + 4*p = 4*u + 30, 0 = -2*u - p + 30. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80*r = -42*r - 49*r + 23265. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 216938513?\nAnswer: 11, 17, 179, 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 18*n - 1. Let w be q(-5). Let i = -28 - w. Is i a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + -1. Let y = a + 1. Which is bigger: -1\/2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 446 - 1a4e?\nAnswer: -1608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 72\/5 of a century?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 5, 23, -43, 0.4 in decreasing order.\nAnswer: 23, 5, 0.4, -0.4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*g - 2917*j + 2912*j - 45, -4*g = 2*j - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*-7*(-11)\/154.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 35, 70, 105?\n\"Answer: 35*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -3*u + 20, u = 4*t - 2487. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1215516878 rounded to 3 dps?\nAnswer: 0.122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 165 from -16.\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = 3*x - 0*x - 14, 5*x - 12 = 4*f. Let g be 1\/3*618\/2. Suppose 0 = -f*h + 2, 0*h + 2*h = 5*c - g. What is the remainder when 62 is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -42 - -60. Let u be (-4)\/x - (249\/(-27) + 3). Suppose 4*j = k + 120, -u*j - k = -j - 159. Solve 2*q - j = -3*q - 4*r, -4*q + 16 = r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(2695)*2 + sqrt(2695) + sqrt(2695) - sqrt(2695))\/(-3*sqrt(44)*-3).\nAnswer: -77*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 23*q**2 + 22*q**2 - 1 to the form p*q + i + u*q**2 and give u.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4*z**2 - 4)*(-2*z + 2*z - 2*z + (0 + z + 0)*(1 - 1 - 2) - z - 1 + 1 + 2*z + 0*z + 0*z).\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12649\/4 + 3163. Which is the nearest to -1\/3?  (a) q  (b) -0.4  (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c + 2. Let x be q(-3). Let t be (-2 - x)*(12 + 6). What is t rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 > 126303\/38216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -25993 + 26049. What is the greatest common divisor of t and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29 + -10 - (-3)\/((-27)\/9).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-3)*w)\/w*w*w**(1\/2))**(-2\/11)\/((w**(-6)\/w)\/w*w*w*w**2)**(-50) assuming w is positive.\nAnswer: w**(-2197\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Total of 222.4 and 9.\nAnswer: 231.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21441832.\nAnswer: 2, 31, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -24*d**2 - 104*d + 6. Let y(h) = -23*h**2 - 104*h + 9. Let q(s) = -5*k(s) + 6*y(s). Factor q(o).\nAnswer: -2*(o + 6)*(9*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z**2 - 34420*z + 296184100 = 0. Calculate z.\nAnswer: 17210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**4\/5 + 36*v**3\/5 + 39*v**2\/5.\nAnswer: -3*v**2*(v - 13)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -2*o**3 + 180*o**2 + 6*o + 6. Let j(g) = -g**2 + g + 1. Determine 6*j(b) - q(b).\nAnswer: 2*b**3 - 186*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (4*(sqrt(84) - (sqrt(84) - (sqrt(84) - (sqrt(84) + 1*sqrt(84)) - sqrt(84)) - sqrt(84)) - sqrt(84) - sqrt(84)))\/sqrt(3))**2.\nAnswer: 144*sqrt(7) + 4041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 7 - 5 - 1 + 1 - 2*v. Let z be w(0). Suppose -3*o = -5*a + 13, z*o + 0*o = a + 3. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - 2 - (-27 - -13).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 2*m. Let l(v) = -6*v - 21. Give -3*f(w) + l(w).\nAnswer: -12*w - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 2*r - 5. Let y(f) be the second derivative of 2*f**3\/3 - 11*f**2\/2 + 25*f. Let c be 3\/(-5) - (-70)\/(-50). Determine c*y(n) + 5*k(n).\nAnswer: 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the first derivative of -3*g**2 - 1\/3*g**3 - 2 - 3*g. Let k be l(-2). What is the greatest common divisor of k and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -16*m**5 - 9*m**5 - 9*m**5 + (6 - 10 - 7)*(0*m**5 - 3*m**5 + 4*m**5).\nAnswer: -45*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (55362853\/169 - -8) + 1 + 33\/(-39) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -714*f + 6291*f + 1022*f.\nAnswer: 6599*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s + 3*s - 20*s**2 + 22*s**2)*(34*s + 21*s + 5*s - s - 2*s + 2*s + (0 + 0 + s)*(0 + 0 - 1)).\nAnswer: 116*s**3 + 58*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001338534662 to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 15\/4 of a century?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2 + 853*r + 1324854.\nAnswer: -(r - 1654)*(r + 801)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let g = 67 + 44. Let m = g - 108. Suppose m*u = 2*i + 106, u - 15 = i + 20. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the second derivative of -d**6\/30 - 3*d**5\/20 + d**4\/12 + d**3\/2 + 7*d**2\/2 + d. Let v(i) = i**3 - i - 3. Let z(x) = 3*f(x) + 7*v(x). Factor z(b).\nAnswer: -b*(b - 1)*(b + 1)*(3*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*g + 12*g + 1908732 = 0. Suppose 0 = 6*z - 2*z - 105352. Let k = g - z. Round k to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5\/6  (b) 4  (c) 6  (d) 11\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j + 3*m - 2*m = -3*m + 16, 0 = 8209*m - 4104*m - 4107*m for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*d**3 + 8*d**3 - 7*d**3 - 31*d**3 - 2*d as t*d**3 + c + r*d + p*d**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 9319990 rounded to the nearest ten thousand?\nAnswer: 9320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -340104\/101 at most as big as -3367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**3 + 18*l**2 + 699*l - 707*l + 28 - 3. Is t(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -284 bigger than -1996\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, -4, -39, -108, -223, -396, -639, -964?\nAnswer: -1383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2040)\/672 + (-2 - (-55)\/20). Which is smaller: z or 42?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -12*q**3 + 12*q + 6. Let t(a) = 2 - 1592*a + 800*a + 796*a - 4*a**3. Determine -3*l(z) + 10*t(z).\nAnswer: -4*z**3 + 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8446031 hours to seconds.\nAnswer: 3040.57116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 583 a factor of 26603139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 7*q + 1. Let s(j) = j**3 - 14*j**2 + 50*j - 5. Let v be s(7). Let o(f) = 13*f + 1. Determine v*o(w) - 5*y(w).\nAnswer: -9*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -770148 + 2?\nAnswer: -770146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1933072?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1695 = 554*k - 667*k for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 129, -16\/3, 0.6, -4, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1*(3 - (-3 + 7)). Solve 2*r = 11 - q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 2\/63, 0.3, -2.\nAnswer: -2, 0, 2\/63, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -13\/23518 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the first derivative of -i**4\/4 + 8*i**3\/3 + i**2\/2 + 10*i + 1. Let r(j) = -j**2 + 10*j - 1. Let h be r(9). Is 18 a factor of d(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -486 - -490. Solve -x*z + 26 = -0*z + 2*f, 3*f - 9 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6 or 108308?\nAnswer: 108308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (396\/14)\/((-201)\/(-10318)).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 0.7  (b) 3\/8  (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 13 - 10 = 4*z, 0 = -4*z - 20. Suppose -u = -109 - d. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p + 3*u - 20 = -9*p, -p + 2*u = 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -15 + -22. Let f = -53155823 - -31255631299\/588. Let d = f + -530\/49. Calculate the common denominator of o and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3402 + 2110. Let d = 233 - 229. Calculate the smallest common multiple of k\/(-57) - d\/6 and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 2*f + 15 = 0. What is the closest to 4 in -1, f, -1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*l - 20*l - 28*l - 1 + 1 + 95*l**2 in the form m + w*l**2 + k*l and give k.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (30\/(-4))\/3*-2. Suppose 3*k + 2*k - 20 = 0. Suppose 3*b - 3*z - 12 = 0, -j*b + k*z + 9 = -13. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 + 12*h**2 - 19*h - 26. Determine n(11).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 63 + -9. Let a be (b\/2 - 3) + -1. Suppose 5*l - a = 32. Calculate the highest common factor of l and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24 + -11 + (1 + 5 - (-4 + 1 + 2))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*w**4 + 290*w**3 + 994*w.\nAnswer: -24*w**2 + 1740*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 198 and 2061477.\nAnswer: 4122954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**2 - 4*h. Let w be q(6). Let c = 4 + w. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = 3*k + 2*v - 5, 0 = -4*k + 3*v - 64. Let m = k - -13. Let r = 11.918 - -0.082. What is the closest to m in r, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**3 + t**2 - 6*t - 1. Suppose -j + 4*c = -3, 3*c + 9 = 3*j - 2*c. Let a be d(j). Calculate the greatest common factor of a and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6645 * -12811.5\nAnswer: 85132417.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 181*f + 277*f - 140*f + 64*f = -6494 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let v be (0\/(4 + -2))\/(-2). Suppose -2*x + v = -6. Let q = 0 + 1. Solve x*j = -5 - q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 39 by 669.\nAnswer: 13\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -4*j**2 + 305*j + 1211. What is r(-4)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in 0.3, 0, 0.2, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 183204?\nAnswer: 2, 3, 7, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, k: 1, l: 5, q: 2, z: 4}. What is prob of sequence zzkl?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -887, -2338, -4703, -7982?\nAnswer: -12175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-26)\/13)\/(148\/4)*1\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*f - 6*f + 15*f)*(-2*f**4 - f**2 + f**2) + 0*f**5 + 12*f**5 + 12*f**5 + f**5 - 2*f**5 + 2*f**5.\nAnswer: 27*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 72707213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 294668\/13247 - 92\/1019. Let f = -9\/26 - -1\/2. Let -48\/13*j - f*j**2 - i = 0. Calculate j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - 0. Let h be 11 - 2 - (-4)\/(-1). Let r be 4 - (-5)\/(-25)*h. Solve i = r*d - 9, 6*i + 11 = i - n*d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 30 + -28. Let y = 210.9 - 211. Put j, 0, y in ascending order.\nAnswer: y, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4230200 (base 6) in base 12?\nAnswer: 9b360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -377\/4 + 93. Let p = -7448.4 + 7448. Which is the second biggest value?  (a) q  (b) -6  (c) p  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.1301 * 0.24.\nAnswer: 0.511224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1420 divided by -355\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (132\/(-30) - -4)*(-120)\/7. Put 3, -0.4, b in descending order.\nAnswer: b, 3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6 + 116\/3)*3*1. Let q be (-15)\/(-20) - k\/(-8). What is the highest common factor of 130 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 + 0 + 2 - (7 - 10 - 6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**3 - 7*s**2 + 7*s + 3. Let x be g(6). Factor 4 - 9*k**3 + 3*k + 11*k**3 - x*k.\nAnswer: 2*(k - 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from {h: 3, u: 1, x: 1, z: 3, w: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -680.0582447 to 1 dp.\nAnswer: -680.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of -2\/33*i**3 - 1\/330*i**5 - 1\/44*i**4 - 5 + 0*i - 3*i**2. Let y(d) be the second derivative of g(d). Factor y(t).\nAnswer: -2*(t + 1)*(t + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(6\/5)*(-3640)\/(-9100)*222?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14962*o**4 + 136*o**3 + 4*o**2 - 258887.\nAnswer: -359088*o + 816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -3*y**5 - 450*y**4 + 480*y**3 + 4050*y**2 - 4077*y = 0.\nAnswer: -151, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4985*i + 4984*i + 4 = -n, 11*i - 55*i = 3*n - 2*n - 131 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -c95c (base 16) to base 15.\nAnswer: -10418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74*c - 95 - 53 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -18633\/248 bigger than -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2 - 313*y + 4681. Give g(14).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1.778 and 9.62356.\nAnswer: 7.84556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -7*x**2 - 4*x - 4. Let q be r(-3). Let a = 22 + q. Is 3\/(a\/(-15) + -2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 546585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {z: 7, a: 6}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + 1 - 5 - -38?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - ((0 - (-27)\/(-6)) + 1158\/204)*7.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 31, 55, 89, 139, 211, 311, 445?\n\"Answer: g**3 - g**2 + 20*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - 8 = 2*c, 0 = 22*k - 25*k - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-24)\/85 - 2\/(-5). Suppose 2 = -9*d + 10*d. Let m(k) = 19*k - 281. Let i be m(15). Which is the nearest to i?  (a) 0.4  (b) r  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7305458 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110100010000 - -101100011010?\nAnswer: -111110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 63\/395?\nAnswer: 63\/395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -89 + 3?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**2 - n + 1. Let b(v) = 2*v**2 - 10*v + 8. Let q = -6 + 14. Let m(i) = q*a(i) - b(i). Find the second derivative of m(l) wrt l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4 or 29\/3?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vgmxt. What is prob of sequence xt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**3 - 27*z**2 - 105*z + 455. Calculate the remainder when 3094 is divided by g(30).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(3\/4)*t\/(t\/((t\/t**(2\/23))\/t))*t)\/(t**1)**(2\/33) assuming t is positive.\nAnswer: t**(4865\/3036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000908446 to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/(2 - -1)*3. Is 10 a factor of w + (2 - (-22)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -7*c - 2. Let r(f) = -33*f - 50. Let o(w) = -6*q(w) + r(w). Calculate o(10).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the second derivative of -u**6\/150 - 69*u**5\/25 - 1587*u**4\/5 + 1097*u. Determine n, given that v(n) = 0.\nAnswer: -138, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1320379410 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iuuuuuuuuuuuuyuu. What is prob of picking 2 i, 1 u, and 1 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -4*h**3 - 6*h**2 + 7*h - 8. Let g(d) = d + 1. Let o(s) = s**3 + s**2 + 3*s + 5. Let i(x) = 4*g(x) - o(x). Give 6*i(f) - n(f).\nAnswer: -2*f**3 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*x + 0*x - 3*x)*(-3 + 1 + 4) - 20*x + 97*x + 96*x - 2*x - 5 + 5 + (-2 + 2 + 1)*(-2*x + 3*x - 2*x) + 2 - 2 + x.\nAnswer: 175*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -230 and -5.\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 48199715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 6, -0.3, -3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (42\/(-56))\/(18\/(-24)). Sort -3, b, 5, -137 in descending order.\nAnswer: 5, b, -3, -137","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of (-25)\/(-50) - (0 + 94\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47 and -119\/200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -96, -0.4, -1\/3, 3 in decreasing order.\nAnswer: 3, -1\/3, -0.4, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 24*c**2 + c - 2. Let b(n) = 6*n + 8. Calculate the remainder when b(6) is divided by r(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15049, 30121, 45193, 60265, 75337?\nAnswer: 90409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 14 or 6\/29?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 76100 bigger than -201\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h - 8*y + 3*y = 50, -5*y - 16 - 25 = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 572, 3077, 9724, 22583, 43724?\n\"Answer: 345*p**3 + p**2 + 87*p + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that w**2 - 153*w + 302 = 0.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*k + k = -56. Let d be -4 - -3 - (k\/4 - 1). Let c be 10314009\/(-54) + d\/(-12). What is c rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 79 - 38. Let g be 2\/(-7)*-7*(0 - -1). Suppose 4510 = -g*q + 12*q. Calculate the greatest common divisor of i and q.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86414811713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -103515*t**2 - 10838*t**2 - 247815*t**2.\nAnswer: -362168*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -5*(2 + 2 - 2). Let n be ((-8)\/c)\/((-14)\/17185). Let a = n + 1449. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (127 + -92)*(-1)\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 297 - 66 = 7*w. Suppose -w = 4*z - 7*z. Suppose z*g = 12*g - 38. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes before 4:26 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, 5, 0.3, 115, 7\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18496 is divided by 764?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 3*l + 1. Let h be z(2). Suppose 0 = h*w - 3*w - 596. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**3 + 6*d**2 - 5*d - 5. Let h be l(5). Let i = h + 7. What is the third derivative of 2*c + 0*c - i*c + 2*c**3 - 4*c**2 wrt c?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -333 times 11\nAnswer: -3663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 11067143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48*(3\/(5\/((-10)\/21)))\/((-8624)\/(-15092)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes before 12:39 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 2\/3  (b) 3  (c) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-19)\/((-114)\/36) - -364. Let g be (-186 - -1)*(-80)\/100. Calculate the highest common divisor of g and p.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddfod. What is prob of picking 1 f and 2 d?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 - -4. Let p be -1 + (a - (-1 - 5)). Suppose p*c = 6*c - 2*d - 74, -c + 5*d = -42. Solve 3*w + 19 = 4*o + 6*w, -3*o - c = -5*w for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 94136283 to the power of 1\/3, to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 3*r**3 + 178*r**2 + 2322*r + 88. What is z(-40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3*((-2472)\/(-9) + 1). Suppose b + 144 = a. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.02 and 40.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -16.74 and 0.13389.\nAnswer: -2.2413186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4.7 - -3.5. Let s = c + 5.2. Let l = 25\/6 + -9\/2. Put l, -0.4, s, -0.5 in increasing order.\nAnswer: -0.5, -0.4, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 622445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-288)\/(-336))\/((-9)\/(-6)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.07 and 2050?\nAnswer: 143.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**4 + 16*l**3 + 22*l**2 - 40*l.\nAnswer: 2*l*(l - 1)*(l + 4)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/15 greater than -4\/2613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16883, -67494, -151837, -269906, -421695, -607198, -826409, -1079322?\nAnswer: -1365931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -8326 at most -16649\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3909.08 - -3909. What is the third smallest value in -21, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -137a - 12dc?\nAnswer: -2667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 7896\/132 + (-4)\/(-22). Suppose 0 = d - i + 20. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-203)\/((-282576)\/580)*(6\/4)\/(1\/(-2))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 4821522.3 minutes?\nAnswer: 478.325625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**2 - 94286*i + 188568.\nAnswer: (i - 94284)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -37 - -40. Let h be 0 - l*(-3 - -2). Differentiate -2*i**3 + 31 - 4 - h wrt i.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 229589*t**2 + 2. Let a(c) = 566*c**2. What is d(a(v))?\nAnswer: 73550213684*v**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-3 + 1*sqrt(1300) + sqrt(1300) - sqrt(1300))**2.\nAnswer: -180*sqrt(13) + 3927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -612*n + 3*m = -605*n - 426, 4*n - 2*m = 242. Solve 7*z - 84 + n = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -13671778, -13671787, -13671796, -13671805, -13671814?\n\"Answer: -9*q - 13671769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 3*v = -3 - 5, -2*s + 10 = -4*v. Let h be -1*(-4)\/(2\/s). Which is the closest to -1?  (a) 1\/5  (b) h  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 + -1 - -1) + -10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -769 + 679. Which is the closest to 2\/3?  (a) p  (b) 3  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -27 + 51. Let l = -7382 - -7592. Suppose -l = -6*r + n. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 387*u + 2023 = 11698 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 4*d + 13 = 191, 4*n - 3*d - 346 = 0. Suppose 1 - n = -14*y. Solve -y*g - 4 = 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 720, 1433, 2138, 2835, 3524?\nAnswer: 4205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*b = -12*b - 200. Calculate the greatest common divisor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17)\/(918\/144)*3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.0474 - 0.4526. Do x and -0.55 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 13392*l**3 + 234*l**2 - l - 1?\nAnswer: 80352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 2*i + 4. Let y(t) = -1. Let c(z) = -o(z) - 5*y(z). What is c(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(-1))**32*(w*w**7\/w)\/w**(5\/8) assuming w is positive.\nAnswer: w**(563\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-480)\/(-360)*2\/(-3)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.03 - -0.03. Let s be (-8)\/32 - 22\/8. Sort -2\/9, s, h in decreasing order.\nAnswer: h, -2\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -1218*p + 195093. Give l(160).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4779049 (base 10) to base 8.\nAnswer: -22166051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -1  (b) 11  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 7\/(1 - (-38)\/(-40)). Let j = 108 - 63. Calculate the common denominator of 18\/j + (-1146)\/o and -73\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rkkrrkkkkkkkkkkkkr. What is prob of sequence kr?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 175\/(-10)*-1*2\/(-27) and 47\/33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 251*q + 754. What is x(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -532 + 82?\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (3 - 2\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11.6 - -12. Let i = 0.2984 + 14.7016. Which is smaller: i or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.47?  (a) 8664  (b) -0.5  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*z + 3*z + z + (2 - 1 - 3)*(-2 + z + 2) + 5*z - 2*z - 2*z)*(-1 - 4 - 3).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.4 and 300.\nAnswer: 300.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z**3\/6 + 22375*z**2\/3 - 447700*z\/3 = 0. Calculate z.\nAnswer: -44770, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in seventeen halves of a centimeter?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -2*q + 5. Let n(c) = 6*c + 2. List the prime factors of n(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -800, 3, 92 in descending order.\nAnswer: 92, 3, 0, -800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 180 is divided by 75?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*f + l + 11*l = 7*f + 137, -f - 24 - 3 = -2*l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -64.154 - -0.154. Let q = a + 62.65. Round q to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 17*s**3 - 3*s**2 + 1. Let l(o) = -33*o**3 + 13*o**2 - o - 9. Let k(p) = 3*l(p) + 6*u(p). Suppose k(b) = 0. Calculate b.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000026398 to 7 dps.\nAnswer: -0.0000264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1829383079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 262925540 = 4*a - 3*a, -2*a = 5*u + 525851076. Let o = a + 179325528. Round o to the nearest one million.\nAnswer: -84000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1430 and -6458.\nAnswer: -9234940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.4 + -0.3. Let y = 0.9 + s. Let d = -17.8 + 17.7. Which is the closest to 0?  (a) d  (b) 4  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**3 + m**2 - m + 2. Calculate the smallest common multiple of 78 and y(0).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 51 - 26. Let k = -13 + j. Factor k*v**2 + 8*v**3 + 9\/2*v + 1\/2.\nAnswer: (v + 1)*(4*v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 45*d + 88. Let j be m(-2). Let y(h) = 17*h + 35. Let f be y(j). Solve -5*z = q - 1, z - 3*q - 14 = -f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 26*l - 25*l - 2. Solve -l*v + 3*j = 3*v - 31, -2*v = 3*j - 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 642.5115l to millilitres.\nAnswer: 642511.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21863, -87461, -196791, -349853, -546647, -787173, -1071431?\nAnswer: -1399421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 + 11. Let k be -6 + 12\/(9 - 7). Suppose -15 = -3*z - 0*z + 3*s, k = 4*z - 5*s - 22. Solve z*y - a*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 6 + 16 = 0. Is 13 a factor of 45 - (-3 + (4 - n))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -75070\/9 - -8341. What is the second biggest value in 3, 4\/7, a?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + p + 2*p = 99, 2*p + 126 = 4*z. Let s = 32 - z. What is the tens digit of 2 + s + 9 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - 2*a - 6 = -a, -5*o = 4*a + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**3 + 8*q**2 - 40*q - 236. Calculate r(-10).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g - 1, -4*q + 748 = -g - 5. Let c = q + -127. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*i**3 - 10 + 15 - 34*i**3 - 86*i**3.\nAnswer: -99*i**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 5277 divide 292305825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 192 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -18 - (-25 + (-1 - -31) + -15 + -71)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 454125451 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9923 - -12656.1. What is h rounded to the nearest ten?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6479 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 216 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -647, -5215, -17601, -41711, -81451, -140727?\n\"Answer: -651*l**3 - 3*l**2 - 2*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 295025869?\nAnswer: 523, 564103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 25*x - 2. Let s(w) = -5*w + 2. Let o(q) = c(q) + s(q). Let v(g) = 8*g**2. What is v(o(j))?\nAnswer: 3200*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 105377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiriirivkriviovikko. Give prob of sequence iv.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the second derivative of 402*m**6\/5 - m**5\/20 + 265*m**3\/6 + m**2 + 258*m + 3. What is the second derivative of t(s) wrt s?\nAnswer: 28944*s**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -93084, -185239, -277394, -369549?\n\"Answer: -92155*v - 929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1758)\/(-10) - (1 - (-6)\/(-5)). Suppose -16*k + 3398 = 550. Is k smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 2 - (29 - 68 - (-8 - 6))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -3*f - 6, 0 = -0*f - 3*f - 3. Suppose -59 + n = -2*z. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*t**2 - 19 + 19)*(t - t - 2*t) - 4*t**3 + 0*t**3 + 2*t**3 - t + 3*t**3 - 6*t**2 + 6*t**2 to the form f*t**2 + j*t**3 + c*t + w and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 33?  (a) 1\/33  (b) -0.2  (c) 47  (d) -1\/2  (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*k = -21*v + 7*k + 7*k - 3, 2*v + 0*k - k + 6 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63811.\nAnswer: 11, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 - (-2496)\/(-60))*(-400)\/(-160).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**2 - 7*m - 5. Let l = 7 + -13. Let d be f(l). Solve -2*q = 5*n + 12, -d + 9 = -2*n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(1\/5)*n*n\/(n\/(n\/(n\/n**(-6))))*n)**(-3) assuming n is positive.\nAnswer: n**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*x + 76*x = 34*x - 2*j - 16, 3*j = 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 14 = 41. Let s = 14 + c. Suppose -s = -h - 4*i + 3, -4*i = 0. Let m(b) = b**2 - 7*b + 1. Give m(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -3*w - 126, g - 78 = -5*w - 318. Let m = -19 - w. Let j = -3 + m. Is j a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 148 + -147.677. What is q rounded to two decimal places?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7 and 311.\nAnswer: 2177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -2*w**4 + 34*w**3 - 142*w**2 + 110*w = 0.\nAnswer: 0, 1, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-48)\/(-21) - (-10)\/(-35). Suppose 4*g = -4*k + 60, p*g = -3 + 13. Calculate the lowest common multiple of 2 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -29\/7, -34, -1.4, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 1, -1\/2, -2, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1))**(7\/3)\/((q\/q**(-3\/11)*q)\/q**(2\/5)) assuming q is positive.\nAnswer: q**(-694\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 + 3 + (3 + 2 - 4)*(-5 + 2 + 1) + 2 + 1 - 4 - 2 + 2 + 1 + 1 - 2 + 3)*(2*o - 2*o - 2*o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 62, -200, -930, -2362, -4730, -8268, -13210, -19790?\nAnswer: -28242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 113\/57998808 and -82\/21.\nAnswer: 57998808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) - (sqrt(315)\/sqrt(5))\/sqrt(9)) + (2 + sqrt(252))**2.\nAnswer: 24*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*k = -48*k + 42. Let d(w) = 8*w**2 - 11*w**2 + 4*w**2 + 5. Let h be d(0). Solve -2*u + h - k = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -964457 to the nearest one thousand.\nAnswer: -964000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31229, 62444, 93657, 124868, 156077?\nAnswer: 187284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3\/55 - -79\/440. Which is the smallest value?  (a) p  (b) -0.5  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 48807168 or 341650180\/7?\nAnswer: 48807168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhmmhhhhhymyymmmhy. What is prob of sequence hmh?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11682 = 192*v - 841*v for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -414*r**4 - r + 220 wrt r?\nAnswer: -4968*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the first derivative of 4*j**3 - 7*j**2\/2 - 7*j + 11. Let w(m) = -6*m**2 + 4*m + 4. Determine -7*w(i) - 4*z(i).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -5*t**5\/3 - 8*t**4\/3 + 4*t**3\/3 = 0.\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 19001077 to the power of 1\/3, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 160 and 145?\nAnswer: 4640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-6*(-5 + -2*sqrt(396)*2) + (5 + (sqrt(396) - sqrt(396)*1) - (0 + sqrt(396))*-1)*2)**2.\nAnswer: -269296 - 12480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 436871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1585, -1564, -1543, -1522, -1501?\nAnswer: -1480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -m - 2, 2*m + 1 - 3 = 0. Let v be (-1)\/((-30)\/25 - i). Suppose s - 372 = -v*s. Calculate the remainder when s is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s - 42 = 3*q, 4*s = 5*s - 2*q - 8 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1257613 to the power of 1\/2, to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + k)*(-5 + 3 - 1) + k + 4*k - 6*k + 0 - 2 + 2*k + 5.\nAnswer: -2*k + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 + 342554.3446.\nAnswer: 342554.0446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the second derivative of -5*b**3\/6 - b**2\/2 + 8*b. Let i be c(-3). Calculate the highest common factor of 56 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3276 + -3252. Solve -q*f - 17 = 55 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 7.130323 micrometers?\nAnswer: 7130.323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 151\/2100 and 31\/3?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 4*x = 0. Suppose k - 329 - 152 = x. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -25*f + 87. Let y be c(3). What is the greatest common factor of 8 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 30\/17*b**3 + 4\/17*b**4 + 0*b + 0*b**2 - 2\/17*b**5 + 0.\nAnswer: -2*b**3*(b - 5)*(b + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -56*j - 50*j + 95*j.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 48841, -5 in decreasing order.\nAnswer: 48841, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 0)*(-v - 2*v - 2*v) + 490*v - 265*v + 845*v + 174*v.\nAnswer: 1254*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -44*f + 351. What is y(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 301105 is divided by 2307?\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**3 + 5*k**2 - 5*k + 6. Let f(z) = -z**2 - 9*z - 10. Let i be f(-7). Let v be n(i). Solve -m = v + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the third derivative of 37*v**4\/6 - 113*v**3\/6 + 70*v**2. Is r(25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 556 is divided by 117.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 89800 divided by -5?\nAnswer: -17960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.00005607 and -54?\nAnswer: -0.00302778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(3\/9) + 3. Let k be 1*(p + -6) + -3. Let v be 0 + 1 - (-5)\/k. What is the nearest to 0.1 in -4, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1300)*-1 + -1 + 3*(sqrt(468)*-1)**2 + sqrt(468).\nAnswer: -4*sqrt(13) + 1403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 5*a + 60. Let y be r(-11). Suppose t = y*z + 97, 5*t + 3*z = -z + 427. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -100*m + 45*m + 2*m**2 + 0*m**2 as g + t*m**2 + y*m and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 63 and 329?\nAnswer: 2961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -32344341 - 4031?\nAnswer: -32403422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 66\/132*(-1 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -377909 - -45?\nAnswer: -377864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2.026 - 0.126. Let a = 0.3 - c. What is the biggest value in a, 5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -2*y + 7 - 1, -g + 2*y - 9 = 0. Suppose 5*v = -5*t + 35, -5*v + g = -t - 4*v. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*b - 229 + 235 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-5)\/10)\/(1\/2). Let g = 4 + p. What is the second derivative of g*x - x**2 - 4*x + 0*x wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 7*l)*(-3 + 1 + 3)*(-1 + 1 + 3*l).\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -11893  (b) -22  (c) -173\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -287*k = -579*k + 702*k + 1140*k - 7750 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -4 - 13\/(52\/(-120)). Let p = g + -17. Calculate the remainder when p is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 + -6)*(-1)\/2. Suppose o*k + 55 = -1. Let n = 14 + k. Solve n*h = -4*h - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -9*y**2. Let n(o) = 7*o**2 - 6. Let v(b) = -56*b**2 + 49. Let t(f) = 49*n(f) + 6*v(f). Give t(c(s)).\nAnswer: 567*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.1  (b) 0.2197  (c) -5\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.3 and -1199367262.\nAnswer: -1199367262.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6*7\/126*-6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 12 = 0, q - 3*h - 124 - 62 = 0. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/4*4 + 1\/1. Let q(x) = 48*x**2 - 30*x + 171. Is 76 a factor of q(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 26 + -31 - 17\/((-11424)\/3352)\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -55 - 4*j**4 + 9*j**4 - 4*j**2 + 0*j**3 - 6*j**4 + 0*j**3 + 3*j - j**3 to s + h*j + n*j**4 + y*j**3 + u*j**2 and give s.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**4\/(l\/(l\/(l\/(l*(l\/(l*l**(1\/6)))\/l)))*l))\/((l\/l**(4\/9))\/(l\/(l\/(l**(-10\/7)*l*l)))) assuming l is positive.\nAnswer: l**(233\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 8 + 10 - 2 - 28*p**3.\nAnswer: -28*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18472499?\nAnswer: 43, 269, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -39*k**2 - 17*k + 125. What is z(2)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.221 times 0.4?\nAnswer: 0.0884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (34 - 35)\/(1 - (-2 - 5)). Let j = 52\/3 + 13\/6. Let f = 19 - j. Is f <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uuy when three letters picked without replacement from {i: 1, u: 2, y: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6021 (base 8) to base 2.\nAnswer: 110000010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -274829*h**2*r**4 - 14*h**2*r**3 + 5*h**2*r - 44102*h**2 + h + r wrt r.\nAnswer: -3297948*h**2*r**2 - 84*h**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = 8*d - 36. Suppose -15 = -2*m - 8*q + 3*q, 3*q - d = 5*m. Let i = -0.08 + 0.48. Put -0.4, i, m, -1 in descending order.\nAnswer: i, m, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 810 and 62550?\nAnswer: 562950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*b + 6*b - 3*b)*(39*b - 18*b - 7*b)*(-4 + 0 + 6).\nAnswer: -56*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + p = 15. Suppose -4*d - 5*m + 4 = 0, -p*d - m + 2*m = 16. What is the units digit of (-42)\/d*2\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y - 48 = -0*y. Let f be y\/4 + (-60)\/1. What is f rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 141 - 126. Calculate the remainder when k is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*1*sqrt(288)*-1 - (-4 + sqrt(200)*1 + 4).\nAnswer: -46*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + 2071132?\nAnswer: 2071135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (91\/(-70))\/((-338)\/65)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.8 + -7897936594863\nAnswer: -7897936594862.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -6*k**2 - k - 1. Let p(z) = -13*z**2 - 3*z - 2. Determine 5*b(n) - 2*p(n).\nAnswer: -4*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 3*y**2 + 3*y + 3. Let u = 180 - 175. Let o(h) = -u - 9 - h**2 - h + 14 - 1. Calculate 11*o(j) + 4*t(j).\nAnswer: j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bpx when three letters picked without replacement from bbpbbbbbbbbbbpxbbbpb?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z**3\/2 - 2809*z**2\/2 + 1229327*z\/2 - 147412727\/2 = 0. Calculate z.\nAnswer: 253, 2303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of c**4\/12 + 4*c**3\/3 + 6*c**2 + 5*c. Suppose 33 = -b + 4*b. Calculate the remainder when v(-9) is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 204*p**3 - 204*p**3 - 15*p**4 + 3*p + (-241 + 64*p**2 + 241)*(p**2 - 4*p + 2*p - 2*p**2).\nAnswer: -79*p**4 - 128*p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 50 = -4*p. Suppose 0 = -6*d - 4*d + p. Suppose w + 1 = -6. Sort 3, w, d in descending order.\nAnswer: 3, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes after 10:15 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 21 + 2*k - 21. Let n(h) = -50*h - 28. Let o(p) = -6302*p - 3542. Let u(q) = 253*n(q) - 2*o(q). Calculate u(i(w)).\nAnswer: -92*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 584257 + 3?\nAnswer: 58425a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -8563 plus -250716?\nAnswer: -259279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m - 325295 + 325295. Let q(i) = -472*i**2. Give w(q(p)).\nAnswer: -472*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 182954 and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 41203, 164880, 371031, 659656?\n\"Answer: 41237*b**2 - 34*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the third derivative of -17*i**5\/120 - 7*i**4\/8 - 17*i**3\/6 + 2*i**2. Let g(x) be the first derivative of s(x). What is the tens digit of g(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -26, -12, 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 2*t - 4 = -0, -a - 13 = -5*t. Let w = a - 0. Suppose -5*m - w*i + 32 = -0*m, -2*m + 4*i + 32 = 0. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q - 4*a + 124, 0*q - 5*q - a = -139. Calculate the greatest common factor of q and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15180 - -15180. Which is the third smallest value?  (a) -0.4  (b) z  (c) 568  (d) 4  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 - -35441?\nAnswer: 3543a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 121295 and 83385.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8520 = t - 6*t. Let p = t - 3315\/2. What is the common denominator of 23\/2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 9 in 0.2, 97, -2, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29504970?\nAnswer: 2, 3, 5, 11, 29803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-12)\/(-18))\/(-2*(-1)\/(-3)). Let z(a) = -7*a - 3. Let k be z(v). Solve -k*p = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 42 + -671?\nAnswer: -628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 2 + (1 - 4 - 1)*(-1 - 5 + 5))*(-4*u - 1 + 1) + 0*u + 4*u - 3*u.\nAnswer: -19*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(1700) + -2 + 0 - (1 + -3*sqrt(1700))) + (-2*(sqrt(1700) + (4 + sqrt(1700) + 0 - sqrt(1700)) + sqrt(1700) + sqrt(1700)) + -2)*1.\nAnswer: -28 + 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 608\/5 - 121. Let b(s) be the first derivative of 2\/3*s**6 - 5\/4*s**4 - s**3 + r*s**5 + 0*s + 1\/2*s**2 + 4. Factor b(n).\nAnswer: n*(n - 1)*(n + 1)**2*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*w**3 + 4*w**3 - 4*w**3 + 3*w**3 - 2*w**3 + 5*w**3 - w**2 + w**2 + w**3 + (-2*w**3 + 0*w**2 + 0*w**2)*(0 + 1 + 1))*(4*w - 2*w - 3*w).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**2 + 27*j - 86. Determine w(23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16 and 18144?\nAnswer: 18144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -157 - -252. Let f = l + -94.9999. Round f to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -12 and -253450307.\nAnswer: -253450319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aatoaaotatat. Give prob of sequence at.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*h**3 + h**3 - 2*h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -10*b - b**2 + 7*b + 14*b**3 - 2*b**2 + 8 + 4. Let g(y) = y**3 + y**2 + y. Let w(r) = -3*g(r) - m(r). Find the first derivative of w(n) wrt n.\nAnswer: -51*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 20*n - 19*n = 27, 2*f - 8*n + 36 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -840*c**2 - 162. Let j(i) = -419*i**2 - 81. Let q(x) = -13*j(x) + 6*m(x). What is the first derivative of q(t) wrt t?\nAnswer: 814*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 895 + 695 = -2*s - 5*m, -3945 = 5*s + 5*m. Let g = s + 797. Factor 9\/2*h + 0 + 9*h**3 + g*h**2 - 3\/2*h**5 + 0*h**4.\nAnswer: -3*h*(h - 3)*(h + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 203 = 71. Let d = x + -15. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1187 + -230?\nAnswer: a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 17*w**2 - 5*w. Let m be a(2). Suppose 8 = -5*h + m. Calculate the remainder when 48 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z = 21*p - 20*p + 8, 5*p + 23 = 3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z = i - 24, -4*z + 4*i - 392 + 368 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkm when three letters picked without replacement from {r: 1, n: 3, m: 1, f: 4, k: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = d + 1. Let v = 4 + -2. Find the second derivative of -3*c + v*c**5 + d*c + c wrt c.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1519322 is divided by 393?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -544615, -2178416, -4901409, -8713588, -13614947?\n\"Answer: y**3 - 544602*y**2 - 2*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from {c: 2, q: 2, a: 1, z: 11}.\nAnswer: 11\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02351288028 rounded to six decimal places?\nAnswer: 0.023513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -972*p**4 + 2692*p**3 + 672*p**2.\nAnswer: -4*p**2*(p - 3)*(243*p + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1.9897182 and 38.5.\nAnswer: 40.4897182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -5*(sqrt(245) + -4*sqrt(245)) + -6*(-3 + sqrt(245)) + 1)**2 + 2.\nAnswer: 3024*sqrt(5) + 20423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 958720 and 59920000.\nAnswer: 119840000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2693 - 1449. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 + 6. Suppose -4*c + 301 = -t*w - w, 0 = 2*w + 2. Let d = c + -37. What are the prime factors of d?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f - 471 = 65. Let q = f + -199\/3. Factor -q - 2\/3*w**2 - 4\/3*w.\nAnswer: -2*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -23109\/7793344 + -6\/9367. Is -1 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**3 - 6*g**2 - g + 7. Let j be v(5). Suppose -3*f + 441 = -24*f. Let t = f - j. Solve -3*m = t*r - 4, -2*m - 2*m + 8 = 2*r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1195189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 64426 and 10.\nAnswer: 322130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -150*z + 143*z + 511. Let x be (-1 - 0)\/((-5)\/5). What is the common denominator of x - (2 - (z\/(-6) + 3)) and 25\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6010 + 47 + 135 = 387*i for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 - 30*c**2 - 3*c + 105. Give j(30).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 + 25. Suppose k + 29 = 3*d. Suppose -m + d = -3*t, -4*m + 0*t + 16 = 2*t. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from {h: 1, b: 4, x: 1, s: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -200*l + 419*l - 95*l - 107*l.\nAnswer: 17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**(-2\/17)*v\/(v\/(v**(-4\/3)\/v*v)))**(1\/64))**49 assuming v is positive.\nAnswer: v**(-1127\/3264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 65 * 0.5.\nAnswer: 32.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z - 1. Let h be f(2). Solve h = -a - 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6814345\/12 not equal to -567863?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 11110010111100101 (base 2) in base 13?\nAnswer: 44805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(-2*sqrt(180) - sqrt(180) - sqrt(180)) - sqrt(180)) + sqrt(180) - (-3 + sqrt(720) + 2))**2.\nAnswer: -312*sqrt(5) + 121681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5)\/((2*-1)\/(-2)). Let n(b) = -b**2 - b + 1. Let i(d) = -d**3 - 9*d**2 - 3*d + 10. Let y(k) = i(k) - 4*n(k). Calculate y(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 86853 and 57?\nAnswer: 1650207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -76 + -6 - (-3)\/((-6)\/4). Let j = g - -87. Sort -2, j, -1 in decreasing order.\nAnswer: j, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2144 and 2081824.\nAnswer: 2081824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 2*p = -431, -m + 39 = 2*p - 106. Calculate the greatest common divisor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 24758014 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 - -11. Suppose -2*f - f = 4*z - 10, 0 = 5*z - a*f + 5. Calculate the lowest common multiple of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/12 and 4\/1151943.\nAnswer: 4607772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 45*c**2 + c. What is k(-1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 228 in -2\/3, -0.1, 1\/1362?\nAnswer: 1\/1362","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) + sqrt(567) + sqrt(567)*-5 + 2 + (sqrt(700) - (sqrt(700)*2 - sqrt(700) - sqrt(700))) + sqrt(7) + 1 + sqrt(252))**2.\nAnswer: -108*sqrt(7) + 2277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -21*u**2 + 11*u - 2. Let l(p) = 63*p**2 - 33*p + 6. Let t(d) = -6*l(d) - 17*w(d). What is the second derivative of t(b) wrt b?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 3*f = 40. Let u be (2\/f + 1)*4. What is the second derivative of 3*n**2 - 22*n**3 + 3*n + 17*n**u - 3*n**2 wrt n?\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**2\/5 - 1844*d\/5 + 2184.\nAnswer: 4*(d - 455)*(d - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 41 + -27. Solve g + 6 = -5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (16*r + 18*r**2 - 17*r - 19*r**2 + 81)*(r**2 + 2*r**2 - 4*r**2) to the form y*r**3 + m*r**2 + z*r**4 + d + u*r and give m.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -93113 divided by 1\nAnswer: -93113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes after 5:34 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u + b - 5 = 0, 5*u + 5*b + 0*b = 15 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-527)\/63 - 2\/(-14). Let j = h + 28\/3. Suppose j*b**5 + 22\/9*b**2 - 26\/9*b**3 - 8\/9 + 16\/9*b - 14\/9*b**4 = 0. What is b?\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-6))\/((-69)\/1449).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 0*d + 4 + 6 + 0*d + d. Let a be v(0). Solve 0*b - a = 5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 39 + -36. Let p(o) = -13*o + h - 5*o + 9*o. Let s(f) = 3*f - 1. Give 2*p(u) + 7*s(u).\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9 - 21*k**2 + 4*k + 31 - 6*k**3 - 19*k**2 + 2*k**3.\nAnswer: -4*(k - 1)*(k + 1)*(k + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*i + 231*i + 8229 + 2534 = 41*i for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5 + 9)\/2 + -7. Let y(j) = -547*j**2 - 21*j - 70. Let d be y(o). What is d rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**3 + 5*z**2 + z - 3. Let k be j(5). Suppose -a = -k*a + 122. Let p = a - 42. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13728*d + 27430*d - 13726*d + 7)*((2 + 0 + 0)*(3*d - 2*d - 2*d) - 4*d + 0*d + 2*d).\nAnswer: 96*d**2 - 28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 3*r**2 - 3. Let k(c) = -c**2 + 1. Let n(l) = 2*h(l) + 7*k(l). Let b(t) = t**2 - 3*t + 1. Let d be b(3). Let w be n(d). Solve w = 2*z + 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n**3 - 503646*n**2 - 21138778080*n - 42275541600 = 0.\nAnswer: -83940, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 - 3 - -3)\/(1\/(-5)). Suppose -4*z - 2*x = 10, v*z + x + 14 = -3*x. List the prime factors of (z\/(-10) - 1)\/(4\/(-170)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 358716 or 358720?\nAnswer: 358720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 222042 is divided by 108430?\nAnswer: 5182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9 in 0.89, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2 - 3*s + 4*s)*(-174*s - 148*s + 81*s).\nAnswer: -241*s**2 - 1205*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/8*(-3 + (5 - 3)). Let z = 30041\/12 - 2500. Let p = z - 11\/3. What is the third biggest value in -0.5, p, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5\/7 in 2\/5, 716, 24?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 37209444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:41 AM and 12:40 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/6*-4 - (-28)\/21. Solve -h - h = 3*v - 5, c*h - 4*v + 2 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 293*c**3*f**2 + 53*c**2*f**2 - 2*f**2 wrt c.\nAnswer: 1758*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*k**3 + 3*k**3 - 10*k**3.\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/7*((-2)\/330)\/((-27582)\/(-353969)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.5 in 14, -3\/5, 4593, 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 12909*g**2. Let q(k) = 2*k**2. Determine q(a(i)).\nAnswer: 333284562*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11 - 7. Let x = 4 + -2. Let r(p) = -3*p + 4. Let o be r(x). Which is the nearest to -0.1?  (a) u  (b) 0.1  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -148, -39, 3, 8, -38, 4.\nAnswer: -148, -39, -38, -2, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.2 and -36017.\nAnswer: -36016.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 2*p + f - 2, -4*p = -4*f + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 - -8. Let m(q) = q**2 + 2838*q - 74499. Let g be m(26). Let v be (-4)\/(-18) - (-10)\/(-18). Which is the third smallest value?  (a) i  (b) g  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(51)*-3)\/(sqrt(363) + sqrt(363)*2 - sqrt(363)).\nAnswer: -3*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -106\/58695 and 113\/18.\nAnswer: 352170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -139 - 5 = -g + 4*r, -846 = -5*g - r. Suppose -4*o + 176 = -2*o. Let i = o - 46. Calculate the greatest common factor of g and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -725, -723, -721, -719, -717, -715?\nAnswer: -713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 367815 is divided by 615.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (20 - 20 + 8*t)*(-4*t + t + t + 2 - t - 2 + (0*t + 5*t - 4*t)*(-5 + 0 + 3) - t - t + 4*t + 2*t + 1 - 1) as w*t + f*t**2 + a and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 + 0. Let o = -0.321 - -4.321. Which is the third biggest value?  (a) -2\/9  (b) o  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 - -3210?\nAnswer: 320e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - f = 227, x - 5*f = 4*x + 123. Calculate the common denominator of x and 15*(-4)\/12 + 51\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -3 + (-10)\/45*-12. Which is the second biggest value?  (a) -5  (b) -21  (c) -0.2  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the first derivative of 0*p + 5\/24*p**4 - 35\/18*p**3 + 0*p**2 - 10. Find f such that d(f) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -976 + 976 + 47*y**3 + (y**2 - 5*y**2 + 3*y**2)*(-1 - 2*y + 1) - 5*y**3 - 8*y**3 - 4*y**3.\nAnswer: 32*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8\/3*o**4 + 0*o**2 + 2\/9*o**5 + 0 + 0*o**3 + 0*o = 0 for o.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**2. Let b(s) be the second derivative of s**4\/6 + 29*s**2\/2 + 33*s. Let x(w) be the first derivative of b(w). Give h(x(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 10750 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1311*s**5 + 2369*s**2?\nAnswer: 78660*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + o + 2 = 2*m, -25 = -5*m + 2*o. Let c(t) = 9*t + 79. Let f be c(-8). Calculate the greatest common divisor of m and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -5*y, 408 = m - 0*m + 5*y. Suppose -4219 = -4*a + 3*f - m, 3*a - 2877 = -5*f. Round a to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 0.03  (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, -0.1, 195\/19, -0.502 in decreasing order.\nAnswer: 195\/19, -0.1, -1\/4, -0.502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-1\/3)*(n\/(n**(-1\/5)\/n))\/n*n*(n*n\/(n*(n\/n**(-2\/3))\/n))\/((n\/(n\/n**(-3\/2)))\/n))\/(n**(-11)*n\/(n**(-2\/39)*n))**(-2\/93) assuming n is positive.\nAnswer: n**(161929\/36270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 44 - 41. Let j = 4 + p. Suppose -3*z - 812 = 2*a - j*a, -5*z = -5. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 - -1.7. Let r = s - -3.3. Let y = -0.04 + -1.96. What is the second smallest value in 3, r, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 405\/36*(-4)\/(-18)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -131*z**2 - 24761*z\/3 - 42 = 0. Calculate z.\nAnswer: -63, -2\/393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 112477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -620?\nAnswer: -1\/310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w + 31 = 103. Suppose f + 32 = 5*f. Calculate the greatest common divisor of w and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 122232 (base 4) to base 16\nAnswer: 6ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 397.3028 weeks?\nAnswer: 240288733440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 120921.8 decades in months?\nAnswer: 14510616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-two fifths of a hour in seconds?\nAnswer: 37440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 898 or 897?\nAnswer: 898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -230*z**3 - 16401*z**2 - 251974*z - 27195 = 0. Calculate z.\nAnswer: -49, -111\/5, -5\/46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d**(1\/7))\/d**(-4))\/((d*d**(2\/9))\/d**(-2\/21)))\/((d**(1\/2))**50\/(d**(2\/3))**35) assuming d is positive.\nAnswer: d**(136\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1240 - 1248. Which is greater: -0.46 or v?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14813566 by 65258.\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -1812*v + 9084. Determine m(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 79931 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 206*-0.4\nAnswer: -82.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 134 - 265\/2. Let t(k) be the second derivative of l*k**3 + 3*k - 3\/5*k**5 + 0*k**4 - 3\/2*k**2 + 0. Factor t(h).\nAnswer: -3*(h + 1)*(2*h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 - (2 + 57\/(-21)). Suppose 0 = 2*p - p + 2. Let u be (15\/10)\/(45\/(-20)). What is the closest to 2\/3 in u, p, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3107497 <= 3107496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 4*z - 9, 4*o + 6 = 26. Let b be z\/5*-1*5\/3. Sort 0.5, b, -3, -0.4 in descending order.\nAnswer: 0.5, b, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 878124.1g in nanograms?\nAnswer: 878124100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 775786 and 6.\nAnswer: 2327358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - a)*(-27*a - 17*a - a).\nAnswer: 45*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 264 = 3*m - 6. Suppose 0 = -0*j + 2*j - u + 13, -3*j - 26 = 5*u. Let w = m + j. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2168644 divided by -148?\nAnswer: -14653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 99 and 85928913.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -3*b - 59. Let y be t(-21). Solve y*k = -16, -k = g - 0 + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 12863530?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19856*f**3 + 45458*f**3 - 25595*f**3.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1))**(-6\/13)*(l**(-2\/7))**(12\/7) assuming l is positive.\nAnswer: l**(-18\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -35*f - 14. Let q be n(-10). Let y be (-8 + 3)*q\/(-10). Is 4\/(-14) + 116136\/y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -31 + 26*g**3 + 93 - 32 - 8*g**2 - 32 to the form t*g**3 + k*g**2 + j*g + i and give t.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -258*g + 43*g = -173*g - 176*g + 1474 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 66 + (-60 - 12) - (1 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20*o - 259 + 259)*(-3 + 2 - 2 + (-13 + 14 + 32)*(-2 + 2 - 1)).\nAnswer: 720*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-169)\/(-26))\/(-13))\/((-2)\/(-64))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (52\/728)\/(((-20)\/8)\/5)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -24.459 * -1.\nAnswer: 24.459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 391 a factor of 130698397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 2*i**3 - 120*i**2 + 36*i - 70. Calculate the remainder when m(60) is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 - -1041?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.0564?  (a) -0.1  (b) 5  (c) -0.2  (d) 5\/3  (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**3 + b + 1. Let o(v) = 27*v**3 - 3*v - 3. Give o(g) + 3*z(g).\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 22\/1647 and 25\/10431?\nAnswer: 31293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13*z - 3 + 2 - 33*z)*(-45*z**2 - 2522*z + 2522*z).\nAnswer: 900*z**3 + 45*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000214597494 to 7 dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Is (-9 + 8)\/(-5 + 51844\/10369) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3055 or 3054?\nAnswer: 3055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -287.121 - -287. Let y = 1.101 + d. Let h = -0.02 - y. Which is greater: 3 or h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 9 = -0*f. Let n = 11 + f. Put 0, n, -5 in decreasing order.\nAnswer: n, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1561 (base 9) to base 5\nAnswer: -14224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2 - 32*r - 51. Let q be d(-30). Let g be q\/16*(-168)\/(-126). Determine s so that -9\/4*s - g*s**2 + 1\/4*s**3 - 5\/4 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 2 + 1)*(2*i + 4*i - 4*i) + (-11691 + 8*i + 11627 - 3*i)*(0 - 2 + 5)*(1 + 1 - 5) in the form q*i + h and give h.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-8) + (-8)\/((-176)\/15).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from woccggggg.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 4*x - 19, 5*x + g - 19 = -0*x. Let t(r) = -r**2 + 4*r + 2. Let m be t(4). Solve 5*d = -m*h - x, 0 = h + h + 3*d for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 4, -10, 1, 1.53?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssshssss. What is prob of picking 1 h and 3 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1*78\/14)\/(-9 + 10). Which is bigger: -6 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 41 - -51. What is the greatest common factor of h and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 240\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*b + 6*b**2 - 5*b**2 + 11*b**2 + 7*b**2 - 1 - 3*b**2 as y + c*b**2 + p*b and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 179182, 358376, 537570, 716764?\n\"Answer: 179194*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30262?\nAnswer: 2, 15131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 1066*n = 1063*n + 5531, -o + 1379 = 2*n. Which is the third biggest value?  (a) 5  (b) -5  (c) -0.2  (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = -z + 49. Let y be (100 + -2)*(-1)\/(-2). Let q(i) = -y + z - 2*i**2. Let c(n) = -2*n. Give q(c(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 195.02 + -195. Let v = -3551\/13 - -273. What is the second smallest value in n, v, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/3 and 6814924 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -3*w + 16. Let s(r) = r - 8. Let u be (-30)\/(-110) - (4 - (-384)\/(-44)). Determine u*s(d) + 2*p(d).\nAnswer: -d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 63333589, -2, 5 in ascending order.\nAnswer: -2, 5, 63333589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 9628 greater than or equal to 9628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1094164694 is divided by 1783?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y - 10 = -x, 2*x = 1753116 - 1753120 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + -3*sqrt(1053) + -4)**2 - (((sqrt(1053) + 1 - sqrt(1053))*-4)**2 - (sqrt(1053) + ((sqrt(1053) + -1)*5 + sqrt(1053) + sqrt(1053))**2))) + 5.\nAnswer: -513*sqrt(13) + 61092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = 4*v - 116. Let a = v - 51. Let c = a - -48. Is 26 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -233 + -11?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4  (b) 0.08  (c) 4  (d) 0.3  (e) 18\/5  (f) 4\/7  (g) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmc when three letters picked without replacement from {s: 1, m: 3, c: 4, x: 4, i: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 445, 3750, 12717, 30178, 58965, 101910, 161845?\n\"Answer: 472*y**3 - y**2 + 4*y - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than 1072\/4705?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -y + 2*u, -24 = -2*y + 4*u - 2*u. Suppose 4*v + 4*s = 3 + y, 5*s - 7 = v. Solve v*q + q + 12 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -f6319 (base 16) to base 6.\nAnswer: -33340321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/26, 2, -5, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -102*j - 263 = -6*j - 71 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/17?  (a) -1  (b) 2\/9  (c) 2574  (d) 0.3  (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-100)\/15)\/10*3\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -17 - -9. Let l = f - -11. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-16)\/(320\/90)*31\/(837\/84)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(((a\/a**2)\/a)\/a)*a)**(-22)*a**(-2\/17)*a**(-4\/11) assuming a is positive.\nAnswer: a**(-20660\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 8\/21 + 2\/7. Let l = 4.87 - 5.17. What is the third smallest value in -2, c, l, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7\/(-8) + (-20)\/160\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**2 - 48*p - 45. Calculate a(49).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*t + 50 - 14. Suppose t*q - 1210 = -q. Let g = 143 + q. What is g rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*z**3 + z**2 + 0*z - 3*z + 23*z**5 - 28*z**5 - 4*z**2 wrt z?\nAnswer: -300*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**2 - 1. Let o(s) = 2*s**2 + s + 5. Let k(l) = -4*g(l) - o(l). Let p be -155*2\/4*2. Let h = p + 157. What is k(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 105 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*f**2 - 2*f**2 + 3*f**2)*((-7 - 7 + 2)*(-4 - 2 - 1) - 1 - 4 + 2 + (1 + 2 - 1)*(3 - 1 + 0)) as k*f + i + s*f**2 and give s.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeeneege. What is prob of sequence ene?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.1 - -0.5. Let m = 4.88 - -0.12. Let v be (2\/6)\/(5\/3). Which is the nearest to -0.1?  (a) s  (b) m  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56067*n + 1550 = 56005*n for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 215656452 by 9783.\nAnswer: 22044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -0.3, 5\/14, -1 in decreasing order.\nAnswer: 5, 5\/14, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(120)\/(sqrt(40)\/sqrt(5)))\/((sqrt(432)*-2 - sqrt(432))*-1).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeeeeeeeeeeppepeee. Give prob of sequence eppe.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18*(-12)\/(-288) - 7\/(-12).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 5*p**2 + p. Let n be j(-1). Let c = 11 + -9. Suppose -3*z = 3*m + c*m - 17, -10 = -2*m + 2*z. Calculate the highest common divisor of n and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -161*n + 4355. Determine j(29).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y + 4*r - 42, 0*y + 2*r + 6 = 2*y. Let j = y + -10. Calculate the remainder when 48 is divided by j\/(-34) - (-219)\/17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/u**(2\/5))\/u)**(-6\/11)\/(u**(2\/3)*u\/(u\/((u*u**(4\/9))\/u)*u)) assuming u is positive.\nAnswer: u**(53\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 217 and 435995.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11 + 21. Let i(d) = -d**3 - 30*d**2 - 6. Let k be i(-30). Let c be (k\/(-4))\/(17\/34). Solve -8*a + c*a = -n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3.745*0.58.\nAnswer: -2.1721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.19736206 to one dp.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and -98971.5.\nAnswer: -197943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 1 z when three letters picked without replacement from sxssxsxszszzsx.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + p - 29 = -4*p, 18 = 2*n + 3*p. Let w be 1*-6 - (2 - n). Let q = -3.0606 + 0.0606. Which is the nearest to q?  (a) w  (b) 1\/2  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92.8106 centuries in months?\nAnswer: 111372.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1.59202 and -150.59.\nAnswer: -148.99798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 148 divide 22639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b. Suppose 4*x - 1090 = 250. Suppose -4*n + x = 39. Let k(p) = 3*p + 74 - n - 5*p. Determine k(v(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n - 3*n + 450 = 0. Let x be 5*1*(6 + -4 + -1). Suppose -2*u + 208 = x*y, 2*y = 5*u - n - 341. Is 62 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.272 * -45.\nAnswer: 12.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13\/(-156)*-20*(-27)\/(-75).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(-1)*q)**(-14)\/((q\/q**(1\/4))\/q**(5\/4)))**3)**27 assuming q is positive.\nAnswer: q**(81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p - 0*p. Solve o + p = -2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*i + 78 - 123 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 18608701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*q - 21*o - 59 = -34*q, -o - 1 - 3 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 9850?\nAnswer: 29550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -79304 - -275185. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqgqqyqyqqqqyqqqqg. What is prob of sequence ygqq?\nAnswer: 13\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = f - 3*p + 6, 3*f + 2*p = -23. Let a(q) = q**3 + 13*q**2 - 9*q - 15. What is the units digit of a(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16\/20*(166\/4 - 9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes after 10:38 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5350 (base 6) to base 5.\nAnswer: 14333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f = 25411*j - 25400*j - 58, 0 = j + 3*f for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-214*c - 11*c**2 + 214*c)*(-5*c + 5*c + 9*c)*(1 + 0 + 1).\nAnswer: -198*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*j - 4*j + 3*j)*(-2*j - 4*j + 4*j) + (j**2 - 8*j**2 + 6*j**2)*(-14 - 41 - 2).\nAnswer: 53*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 3, 29 in descending order.\nAnswer: 29, 3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*v**3 - 2*v**3 + 4*v**3 + (2*v**3 - 5*v**3 + 0*v**3)*(-4 + 5 + 1) - 4 + v**3 + 4 + (7*v**3 - 2*v**3 - 3*v**3)*(1 + 4 - 3) + 2*v**3 + 3*v - 3*v.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-7)\/14)\/(1\/10). Let g(s) = -7*s**2 - 4*s + 6. Let v(m) = 8*m**2 + 5*m - 7. Calculate u*g(t) - 4*v(t).\nAnswer: 3*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -119\/24336 and -103\/1561560.\nAnswer: 9369360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-259*d - 22 + 1540*d + 22 - 4*d)*(-2 + 1 + 0).\nAnswer: -1277*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1403\/88 + -127\/8. Let p = y - -13\/11. Is p less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2784)\/10)\/4 - 0. Let s = q - -70. Solve s*i**2 + 0*i + 0 + 0*i**3 - 2\/5*i**4 = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2555 - 5?\nAnswer: 2550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -26*x**2. Let l(k) = -17*k**2 + 8*k - 2. What is l(c(z))?\nAnswer: -11492*z**4 - 208*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the first derivative of 2*p**2 - 4*p - 18. Let f = -2 + 4. What are the prime factors of j(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2345425 and 800?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - s**3)*(2*s - 3*s + 3*s - 1 - s + 1 + (s + 0 + 0)*(0 + 3 - 4) - 3*s + 4*s + 0*s + 0*s + s - 3*s + 2*s + 1 - 1)*(1 + 5*s - 1).\nAnswer: -5*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19438641*v + 19438534*v - 38877096*v.\nAnswer: 79*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = 4*v - 10, -7*v + 25 = -3*v + 3*i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24689*s = 24783*s - 188 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 3*j**2. Let n(q) be the first derivative of 0*q + 4\/3*q**3 - 6 + 0*q**2. Give n(k(d)).\nAnswer: 36*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1178 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -2*x - 9. Let f be v(-6). Suppose -f*h - 20 = h. Is 10 a factor of -9*6\/9*h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 14\/15  (b) 5  (c) -4  (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15.7 + 16. Let t = d - 0.29928. What is t rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the first derivative of -2*p**3\/3 - 752*p**2 - 282752*p - 1015. Suppose u(j) = 0. What is j?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -4*(-2)\/(-8)*-2. Suppose l*w - w = 0. Suppose -9 = -4*t - u, 0*t = -t - 3*u + 5. Solve -t*k = -w*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a\/(a**0\/a))\/a)\/a**6*(a**(-2))**(-4) assuming a is positive.\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -3*n - 10. Does 10 divide l(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 78909 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/(-5 + 4)*-2. Suppose -2*r + 166 = -a*v, 0 = -4*r + 5*v - 2*v + 333. Suppose -303 = -3*w + r. List the prime factors of w.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73*g + 102720 = -49*g. Is g a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 1 p, and 2 r when four letters picked without replacement from rqqorrqrrqpqqqoqrpq.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 4*x**2 - 5. Let c be (-2)\/10 - (-72)\/(-15). Let b = 7 + c. Let v(i) = 3*i**b + 0*i**2 - i**2 - 3. Calculate 3*q(o) - 5*v(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 31667.517 microseconds in weeks?\nAnswer: 0.0000000523603125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 180\/48 - (-65)\/52?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -216 + 217 - 1 + 851*s**2.\nAnswer: 851*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.05?  (a) 0.4  (b) -1.258  (c) 39  (d) -0.2  (e) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17.9 + 1336286.\nAnswer: 1336268.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 151 a factor of 1851870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 2869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 60*r**2. Let q(p) = 5*p**2 - p + 1. Let z(f) = -f**2 + f - 1. Let i(m) = q(m) + z(m). What is i(t(n))?\nAnswer: 14400*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 777, 1512, 2247?\nAnswer: 2982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(7\/(49434\/(-18))). Let m = b + -392. Let m*v**4 + 1\/3*v**5 + 0*v - 1\/3*v**3 - 1\/3*v**2 + 0 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -31*v + 25*v. Put -4, v, 4, 2 in ascending order.\nAnswer: -4, v, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 6 = -2*g. Suppose -4*q = 2*a - 5*q - 307, -q = g*a - 305. Let o(n) = -5*n - 3. Let y be o(-4). Calculate the greatest common divisor of a and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3503*a**4 - 5127?\nAnswer: -14012*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -14\/31, -5, -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -1922*f + 357447. Calculate d(186).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*y = 12 + 328. Let s = y - -130. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 583*k**2 + 6 - 4676*k**2 - 1593*k**2 - 33*k + 742*k**2 wrt k.\nAnswer: -9888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13, 46, 93, 142, 181, 198, 181?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -25*s + 1. Let f be w(7). Let p = -124 - f. Suppose -2*q = q - 30. Calculate the highest common divisor of q and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -5548078, -5548069, -5548064, -5548063, -5548066, -5548073?\n\"Answer: -2*u**2 + 15*u - 5548091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65659 is divided by 534?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 27428018.2 rounded to the nearest 1000?\nAnswer: 27428000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 2*w + 2*w - 1 - 6*w + w. Let t(l) = -7*l - 4. Give -t(z) + 6*y(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -123.8 + 135.8. What is the closest to 5 in 1\/2, 1\/3, 5, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 3, 0, 10 in ascending order.\nAnswer: -7, 0, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 175531 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41517.\nAnswer: 3, 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2932415115?\nAnswer: 3, 5, 7, 27927763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5602 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5.1 and 109949?\nAnswer: -560739.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 5*x + 41. Let s(g) = -24 + 5*g + 14 + 38 + 13 + g. Calculate -5*f(i) + 4*s(i).\nAnswer: -i - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 408606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9\/(-18) + (-207)\/(-6) is divided by -7*((-3)\/(-5))\/(140\/(-200)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -3*v**3 - 25*v**2 - 34*v + 267. Is 24 a factor of h(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 100496.0100053 + -100496. Let m = -0.01 + a. Round m to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 3*p**3\/4 - 29031*p**2 - 1045335*p\/4 - 232302 = 0.\nAnswer: -8, -1, 38717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -264, -463, -664, -867, -1072, -1279?\n\"Answer: -a**2 - 196*a - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 1370381.93, 2, 0.5 in descending order.\nAnswer: 1370381.93, 2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -k - 17670, 2*k = -19*d + 20*d - 4421. Suppose o - p = -0*p + 881, 2*p + d = 5*o. What is the hundreds digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the second derivative of 2*t**3 + 6*t - 93. Let i(p) = -4*p**2 + 5*p. Determine i(f(h)).\nAnswer: -576*h**2 + 60*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14\/3 - 40\/60.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**2 - 4*f - 1. Let j be c(5). Suppose 9*s = j*s. Factor 0 + 1\/2*r**4 + 1\/4*r**3 - 1\/4*r**2 + s*r.\nAnswer: r**2*(r + 1)*(2*r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -145\/356934 and -41\/1516086?\nAnswer: 153124686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -10\/11, -3, 1, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - (1 - 2) - (-18 - -14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence seeh when four letters picked without replacement from {c: 6, h: 4, e: 4, s: 3}.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7462731007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/8 of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -13*q**3 - 6*q**2 - 4*q - 1. Calculate u(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:35 AM and 7:14 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*k**4 + 783*k**3 + 1770*k**2 - k - 3.\nAnswer: 192*k + 4698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5973 and 957.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -9*t**2 + 6*t + 8. Let v(c) = 3*c**2 - 97*c + 176*c - 81*c - 3. Determine -7*v(q) - 2*z(q).\nAnswer: -3*q**2 + 2*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 3 l when four letters picked without replacement from {c: 4, l: 5, t: 1, y: 1}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z\/(((z\/(z\/(z**6\/z)))\/z*z)\/z)))\/(z*z**14) assuming z is positive.\nAnswer: z**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000422051304 to six decimal places.\nAnswer: 0.000422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21803909 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, -138386, 3, -2, 1.\nAnswer: -138386, -2, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a + 37 - 2. Let z = 3 - 8. Let u(v) = -4*v**2 + v + 6. Let y(q) = -3*q**2 + q + 4. Calculate a*y(t) + z*u(t).\nAnswer: -t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the third derivative of t**6\/1620 + t**5\/270 + t**4\/108 - t**3\/6 - t**2. Let l(d) be the first derivative of b(d). Factor l(z).\nAnswer: 2*(z + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**2 + 3*s + 21. Let z be t(6). Solve -4*b + z + 5 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 29.1 - 27. Let p = f + 0.5. Let n = 2.4 - p. What is the smallest value in n, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38118?\nAnswer: 2, 3, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h. Let c be (60\/5)\/(-1 + 3). Let u(q) = c*q**2 - 3*q**2 - q**2. Give d(u(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -3*f + 11, -12*l + 9*l = -2*f. Which is the closest to -1\/2?  (a) f  (b) -1  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:25 AM and 6:34 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28 - (15 - 19) - -10.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g + 11. Let q be a(-8). What is the second derivative of -7*h + 2*h**q + 5*h - h**3 - 5*h**3 wrt h?\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -3*i**3\/4 - 129*i**2\/4 - 156*i + 4563 = 0?\nAnswer: -26, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (49569\/(-36))\/(-13) + (-5)\/(-15). Let h = n - 129. Calculate the common denominator of -41\/24 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.11*-109871.\nAnswer: 12085.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 204, 394, 584, 774, 964, 1154?\n\"Answer: 190*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 255284*j**3*u**2 - 6*j**2*u**3 + 3*j*u**3 - 19*j*u - 25*j - 8*u**3 + 5*u**2 wrt j.\nAnswer: 1531704*j*u**2 - 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = -3*c - 5*g + 5, -c - 4*g - 30 = 0. Let u = -127\/2 + 62. Sort u, -0.04, c in ascending order.\nAnswer: c, u, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) 1  (c) 0.4  (d) 23\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 35 in 0.07, 5, -0.38, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 2\/3, 2, -0.07, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 15 = -2*t. Suppose 5*z - 300 = 4*p, 4*z - 3*z - t*p = 60. Let d = z - -317. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53649924431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 89393.\nAnswer: 89393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 84 a factor of 2167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(114) + sqrt(114) + (sqrt(114) - -3*sqrt(114)) + sqrt(114))*2)\/(sqrt(42)\/(sqrt(7)*-3)).\nAnswer: -42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19 + 18 + 1409*u**2 - 1 - 36 to c + i*u**2 + k*u and give i.\nAnswer: 1409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 306523619 is divided by 1170?\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 4427 = -1429. Let u = k + 8675\/6. What is the common denominator of 676\/90 - (-4)\/(-10) and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-112)\/(-63))\/(54\/81 + (-16)\/36)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 3.88 and -0.05?\nAnswer: 3.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = 4*v - 24, -3*v + 8 = 171*g - 169*g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/131600 and -71\/15500?\nAnswer: 20398000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 76*25\/2320 + 3\/(-4)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2404 - -9617\/4. What is the third biggest value in 1\/3, 0.4, s, -86?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + u = -20. Solve 0 = -2*w - u - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 3*c**2 - c. Let z(s) = 2*s**2 - s. Let l(y) = 5*y**2 - 1. Let x(v) = 2*l(v) + 6*z(v). Let q(n) = -21*o(n) + 3*x(n). Solve q(w) = 0 for w.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 150, 137, 118, 93, 62?\n\"Answer: -3*u**2 - 4*u + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1199*h + 3699*h - 1221*h - 1227*h.\nAnswer: 52*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -736.9 + 737. Let w = 0 + -5. Which is the nearest to s?  (a) 0  (b) 1\/6  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 4*s**5 + 32*s**4 - 80*s**3 - 1152*s**2 - 2304*s = 0?\nAnswer: -6, -4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -74 - ((-15)\/1050*-10)\/(4 - (-1182)\/(-294))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*j*y**5 + 779*j*y**2 - 4*y**6 + 3*y**4 + 3*y wrt y.\nAnswer: -480*j*y**2 - 480*y**3 + 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4737114 is divided by 2808.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 137 + 1528 = 9*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5157\/(-99)*-1 + (5 - -1 - (-8375)\/(-1375)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/(2\/20)*(-5)\/(-10). Is 9\/(0 + x\/75) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 3*i**3 + 1 - 3*i**3 + 0*i**3 - i**3. Let l(w) = -1 - 1 - 3*w**3 + 7. Suppose 0 = x + 1, -4*z = -3*z + 5*x + 10. Determine z*d(n) + l(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 109222396.\nAnswer: 2, 27305599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1012845408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 0 - 1)*(-83618 + 83618 - 1088*a)*(2 - 4 - 2) to the form n*a + u and give n.\nAnswer: 4352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -2354*r**2 + 11*r + 55. Let f(k) = -471*k**2 + 2*k + 10. Give -11*f(m) + 2*h(m).\nAnswer: 473*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4573806*b**3*l**2 + 5142*b**2*l + 115*b*l**2 wrt b.\nAnswer: -27442836*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**3 - 9*l**2 + 10. Calculate c(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 27599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a millisecond in microseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -213*g + 209481888 - 8190285. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -3*v - 48, -4*v = 5*k + 81 - 28. Let u be (24 + 3)*v\/(-3). Suppose 2*p + u = 4*b + p, 4*b = 5*p + 141. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, -5, -0.08, -266?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -3712 (base 10) to base 3\nAnswer: -12002111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q**3 - q**3 + 2*q**3 + (-23*q - 3*q + 13*q)*(q**2 - 4*q**2 + 4*q**2))*(-q + q**2 + q).\nAnswer: -10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 1*5*(sqrt(65)\/sqrt(5))**2 - -2*((sqrt(13) + sqrt(1573))*-2*-4)**2.\nAnswer: 239685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1355, -980, -107, 1468, 3949, 7540?\n\"Answer: 34*t**3 + 45*t**2 + 2*t - 1436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**2 - n. Suppose 0 = -2*w + k + 11, -2*w - 3*w + 25 = -2*k. List the prime factors of v(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 + -6. Let c = j + 5. Suppose c = a + a. Solve 0 = -2*y - a*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14a60 (base 11) to base 13.\nAnswer: 988c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -4*m**2\/3 + 3103648*m\/3 - 602039431744\/3 = 0.\nAnswer: 387956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1806001781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 591328 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 29327566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6351720136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4061 - -4081. Solve v + 2 = 4*m - 5*m, u = -5*m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/8 - (-500)\/(-1440)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 540433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**3)**23*t**(-6\/13)*t**(1\/6))**(-37\/2) assuming t is positive.\nAnswer: t**(-198283\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 27 = 4*x, 2*s = x - 94 + 112. Let a(v) = -v**3 - 7*v**2 + 7*v - 1. Let d be a(-8). Let r be (-38)\/(-8) - d\/(-28). Solve s = -8*t + r*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.6 + 6.6. Is -3 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 12*10\/(-6) + -2. Put 4, y, -4 in ascending order.\nAnswer: y, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**3 + 6*u**2 - 3*u + 3. Let s = 27 + -25. Let w(l) = 22 + l**3 - 18 + 7*l**s - 2*l - 2*l. Calculate 4*h(y) - 3*w(y).\nAnswer: y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -181*n - 5083. What is the hundreds digit of a(-119)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the third derivative of -l**9\/241920 + l**8\/40320 + l**7\/5040 - l**6\/360 - 13*l**5\/20 - l**2. Let u(o) be the third derivative of j(o). Factor u(a).\nAnswer: -(a - 2)**2*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * 91.73.\nAnswer: 27.519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 146 is divided by 115?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -188 = -29*f - 43. Let y(j) = 3*j + 2. Let h be y(-5). Put h, -1, 3, f in decreasing order.\nAnswer: f, 3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzzzzuzuzuuuz. Give prob of picking 2 u and 1 z.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 93 divide ((-2)\/3)\/(60\/(-540)) + 459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1104776731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.7 + -0.638. Let c = 0.062 - n. Put -8, 1\/3, 3, c in increasing order.\nAnswer: -8, c, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*f**2 + 6696 - 6697 + 2*f - 6*f**3 - 6*f**3 to o*f + i + u*f**3 + n*f**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 405  (b) -2  (c) 4833\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -434, -468, -524, -602, -702?\n\"Answer: -11*l**2 - l - 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11675 and 40?\nAnswer: 93400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/r**(1\/4))\/(r*r**(-1\/4)*r))\/(((r\/(r*r*r*(r*r*r**(-2\/47))\/r*r*r*r))\/r)\/r*r*r**(2\/3)))**(-23\/3) assuming r is positive.\nAnswer: r**(-17158\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 50\/(-8) - (-2)\/8. Let w(p) = -p**3 - 6*p**2 - p - 2. Let u be w(l). Suppose u*k - 4 = 20. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2997)\/20979*(-6 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 70510613 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -64*h - 3 + 107*h + 117*h. Suppose 48*a + 5 - 53 = 0. Let d be n(a). What is d rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 236.5599988546 + -236.56. Round d to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.06 + 30.74. Let t = o - 15.9. Let q = t + -15. Which is the second smallest value?  (a) 1\/5  (b) q  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bgjijgmimbggmgbbg. What is prob of sequence gm?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8334 and 19933076?\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9 + 11. Let r = 16 + -16.1. Let m = -23.7 + 22.1. What is the nearest to m in w, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the first derivative of 3*n**4\/4 + 9*n**3 + 81*n**2\/2 + 81*n - 1. Find h, given that z(h) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02042 to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 2089*q - 16755. Give u(8).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -7*f**2. Let x(s) = s**2. What is u(x(q))?\nAnswer: -7*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 378395 divided by 29.\nAnswer: 378395\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 187455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 9790 to the nearest one hundred.\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1110110001 - -1111101100100?\nAnswer: 1101110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -131, -1721, -4373, -8087, -12863, -18701, -25601?\n\"Answer: -531*k**2 + 3*k + 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1863 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(-7))**(-5)\/((w\/w**(2\/3))\/(w**(-5\/6)\/w)) assuming w is positive.\nAnswer: w**(-253\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**3 + 13*i**2 - 17*i - 47. Calculate b(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h**3 + 0*h**3 + 0*h**3 + (38*h**2 - 17*h**2 + 0*h**2)*(h + 0 + 0).\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 108.02276 + 4342.\nAnswer: 4450.02276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13861\/20 - 694. Find the common denominator of s and -85\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 245320446, 245320445, 245320444?\nAnswer: 245320443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 2, -2, 5781?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -327*u = -770*u - 443 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 126*s + 899 = 42*s - 109 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.1 from -1190.\nAnswer: -1189.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**2 - 8*n - 2. Let f be p(7). Let t be 2\/6 + (-24)\/f. Suppose 4*c + 5*i + 58 - 218 = 0, -4*c + 152 = t*i. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2354484 divided by 2354484\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 124423671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -253 + 446. Let v = 192.999999818 - c. What is v rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7518 - -7520. Solve -u - 4*z = -21, -3*u + u + o = -2*z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(136) + (sqrt(136)*-3 - sqrt(136)))*4)\/(4*sqrt(200) + sqrt(8)))**2.\nAnswer: 272\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(286)\/(sqrt(11) + sqrt(132)\/(sqrt(36)\/sqrt(3)))*5)\/(-4*(sqrt(98) + (sqrt(98) - 6*(sqrt(98) + (sqrt(98)*2 - sqrt(98)))) - sqrt(98))).\nAnswer: 5*sqrt(13)\/616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -1, -2, -3, 1, 2009 in increasing order.\nAnswer: -6, -3, -2, -1, 1, 2009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 19751\/680 - -21\/136. Sort 2\/13, t, 4 in ascending order.\nAnswer: 2\/13, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3408 and 960.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 4732796*g + 5 + 4732787*g.\nAnswer: -9*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1358210*f**4 + 11*f**3 + 2*f**2 - 15*f + 161298 wrt f?\nAnswer: -16298520*f**2 + 66*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 221624\/3 - 73872. Factor 3\/2*z**2 + h*z - 2\/3.\nAnswer: (z + 2)*(9*z - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 535491?\nAnswer: 3, 11, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) 1\/6  (b) -2\/13  (c) 51960\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 292 - 71*s**2 + 287 - 577 + 2*s wrt s.\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -99.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 6 = -2*z - 2*i, 4*i = 3*z + 13. Let k be z\/(((-2)\/(-1))\/(-2)). Is -1*k*(38 + -1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*j**2 + 32857*j - 17479*j + 37532*j.\nAnswer: -26*j**2 + 52910*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 34998237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 172327*f = 173239*f - 13680 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dzbb when four letters picked without replacement from pbzbbdbnbbbnbnmn.\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n - 4*n = 2. Let f(g) = 6*g - 3. Let c(z) = z. Let t(v) = n*f(v) - 5*c(v). Let y be t(3). Solve y = 4*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**2 + 6*r + 3. Let c be z(-6). Suppose m + l = -m - 23999, -2*m - c*l - 23997 = 0. What is m rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -460*r**2 - 592*r**2 + 408*r**2 - 1780*r**2.\nAnswer: -2424*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.4, -0.0852, 8, 0, -1.4?\nAnswer: -0.0852","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 204 + 5?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -a + 3*a**2 + a**3 + 36*a**4 + 106 - 32*a**4 - 108 in the form w*a + t + u*a**3 + r*a**2 + c*a**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -368*u + 2193. What is a(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 + 2. Let j(x) = -2*x**2 - x. Let d(v) = -v. Let q be (-27 + 31 - 27) + 22. Determine q*d(g) + s*j(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 17 + -12. Which is the closest to -0.1?  (a) -0.5  (b) -2  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001000001100 - 10101001?\nAnswer: 1000101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 27326 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 80\/61929 and -10\/70729799?\nAnswer: 636568191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*v**5 - v**5 + 6*v**5 + (-v**3 + 2*v**3 + v**3)*(-v**2 + 0*v + 0*v) - 6*v**5 + 4*v**5 + 8*v**5.\nAnswer: 5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1092\/312)\/((-2)\/(-4))*(-33)\/(-7)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -35 - -48. Suppose -2*v + c = 3*z - 4*v, -5*z + 17 = -v. Find the second derivative of -19*h**5 + 8*h**3 + 2*h**3 - 27*h - 10*h**z wrt h.\nAnswer: -380*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3983189 * -0.1\nAnswer: 398318.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/7  (b) -2\/7  (c) 5.6  (d) -2  (e) -0.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 869, 7030, 23753, 56318, 110005, 190094?\nAnswer: 301865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(17) - (sqrt(17) + (-1*sqrt(17))**2 + 2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes before 6:27 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 11359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2021303 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -44*a**3 - 98*a**2 - 14*a + 422. Let p(c) = 13*c**3 + 33*c**2 + 5*c - 141. Let h(q) = 20*p(q) + 6*z(q). Factor h(u).\nAnswer: -4*(u - 18)*(u - 2)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 50*x**2 + 12*x. Let g(o) = 20*o**2 + 5*o. Let c = 456 - 461. What is c*w(k) + 12*g(k)?\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zirh when four letters picked without replacement from rwrwrizrzhzwwwzh.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 + 6*v**2 + 3*v + 4. Let r be d(-5). Let x = -10 + r. Find the third derivative of 3*u**x + 5*u**4 - 2*u**2 - 3*u**4 wrt u.\nAnswer: 120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**2. Let h = -257 - -391. Let k(m) = 5*m**2 + 134*m - h*m. What is k(f(r))?\nAnswer: 5*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*m**2 + 5*m**4 + 1 - 40*m**3 + 53*m**3 + 2*m + 0 + 0*m**2 + 135*m**3 to s*m**2 + k + c*m**4 + p*m + f*m**3 and give f.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -106 - -108. Calculate the greatest common divisor of y and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 756, -3, -4, 8.\nAnswer: -4, -3, 8, 11, 756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 4*j**2 + 1. Let p be o(-1). Suppose -p*b = -33 - 37. Let g = 9 - b. What is the closest to 0 in -0.2, -0.4, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -74, -277, -626, -1127, -1786, -2609, -3602, -4771?\n\"Answer: -y**3 - 67*y**2 + 5*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000109566 to 7 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 47796 and 1362186.\nAnswer: 2724372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 87*z**6 - 2*z**5 + 98*z**2 - 58*z**6 - 642*z**2 wrt z?\nAnswer: 3480*z**3 - 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes after 7:38 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1032004313 + 20?\nAnswer: 1032004333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1025*a - 2432*a = -8613 + 10464 + 24882 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -466, 0, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 194\/(-16)*4\/(-14). Let y be 6 + (-65)\/10 + (-1418)\/280. Let q = d + y. What is the common denominator of 32 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (-54 - -26 - -28 - 19).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14820810839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n + 234 + 26 = 0. Calculate the greatest common factor of n and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 93 (base 10) to base 12.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 - 8. Let p(q) = 40*q + 267. Let o be p(-6). Let u be ((-18)\/o)\/(h\/3). Are u and -22 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -0*u + 4*u - 174, 290 = 5*w + u. Calculate the remainder when w is divided by 20\/35*(71 + -43).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**3 + 11*r**2 + 27*r - 5. Let x be q(-7). Which is bigger: x or 22\/9?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from qhhlhqwhlwrlwlqlhh.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 235091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 12*m**2 - 4*m + 6. Let o be x(3). Is 101 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 808\/9 - 12\/(-54). Let j = -7 + u. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 9\/(-14 - 13) - 602\/(-6). Let h be 94\/12 + y\/150. Which is smaller: 8 or h?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, 2\/11, 5, -4 in increasing order.\nAnswer: -4, 2\/11, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13461 is divided by 6729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(80) + (-5*(sqrt(80) + sqrt(80) + sqrt(80) + -2 - sqrt(80)) - sqrt(80)))**2 + 3 + (sqrt(80) - (-4 + 2 + sqrt(80) + sqrt(80)))**2 + -4.\nAnswer: -816*sqrt(5) + 8185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6 - 327\/36 - -3. Let g = t + -7\/12. Let a = -383\/6 - -64. Which is smaller: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8918 (base 16) to base 5.\nAnswer: 2110341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 2 = -17. Suppose 0 = 2*w + 4*u + 20, 5 + 24 = -4*w + 3*u. Let c(i) = 6*i**2 + 6*i - 8. Let o(j) = 4*j**2 + 4*j - 5. Calculate w*o(t) + y*c(t).\nAnswer: -2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 76954 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -1. Let m(u) = -u + 2. Let d(q) = -m(q) - 2*y(q). Let h be -1*(-2 - 3) - 3. Let n(w) = -3*w**2 - 2*w**h + 6*w**2. Determine d(n(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 406204223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w - 52 = -2*n, 0 = -14*n - 3*w + 374 - 263 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 35 = -5*y, 2*y - 5*n - 8 = 6*y. Let i = 13 - y. What is the greatest common divisor of 90 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 179*l + 39. Let k be v(3). Calculate the greatest common factor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 108240 and 2530?\nAnswer: 2489520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 434142.4m in millimeters?\nAnswer: 434142400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1576, 6342, 14360, 25690, 40392, 58526, 80152?\nAnswer: 105330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*n - 10 = -38 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = w - 29. Let m = -26 + w. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -r**5 + 6*r**4 + 131*r**3 + 432*r**2 + 500*r + 192 = 0.\nAnswer: -6, -2, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (8 - 2912\/360) + 1\/5. Let z(o) be the second derivative of -k*o**3 + 0 + 1\/36*o**4 + 1\/6*o**2 + 3*o. Factor z(d).\nAnswer: (d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.019076g in nanograms?\nAnswer: 19076000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + -1 - 8 - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: fa8 (base 16) to base 12\nAnswer: 23a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 153 + -138. Suppose 3*y - 24 = 5*j, -3*y + 0*y - j = -24. What is the remainder when b is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153) - 4*sqrt(153)*-1 - sqrt(153))\/((sqrt(99) + sqrt(99) + (sqrt(99) - 1*sqrt(99)))\/sqrt(11)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 19.685 times -0.4\nAnswer: -7.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 38 = 26 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 50*u**2 - 625*u - 44. Is n(23) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1\/2)\/((-245)\/42 - -6). Suppose 0*w - 21\/4*w**2 - 5\/2*w**b + 1 = 0. Calculate w.\nAnswer: -2, -1\/2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/((-3)\/(-6))*123\/(-2). Is -1 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(75)\/(sqrt(3)*-1))\/sqrt(5)*4)**2*6.\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -28.1547147 to zero decimal places.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 17758061 a multiple of 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -63760 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 282 + -285. Let b = -19.7 - -20. What is the nearest to 1\/4 in b, t, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 153220169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve d + 2*d - 3*v = 7*d + 6, 2*d + 9*v - 21 + 72 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen sixths of a hour in minutes?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 247, 489, 727, 961?\nAnswer: 1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, -1, 0, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 2*x - 108 = -33, 3*f - 217 = 2*x. Let l = -72 + f. What is the units digit of (l\/3)\/((-5)\/945)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -34*q**3 + q**2 - 1. Suppose -107*t = 141 - 34. What is o(t)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/2*-12*(-8)\/576?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**2 - 19*w - 52. Suppose 343 = 3*y - 3*z + 5*z, y + 3*z - 105 = 0. Calculate the remainder when y is divided by v(23).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**2 + 6*z. Let i be t(-7). Find the second derivative of -17*k - 1 + i*k**4 + 11*k + 1 wrt k.\nAnswer: 84*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8 + 16. Suppose -5*q = r*q. Suppose -3*c - 1274 = -2*l, -4*l - 2*c + 3742 - 1226 = q. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4.1801 * -0.32\nAnswer: -1.337632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -7559, -7392, -7225, -7058, -6891?\n\"Answer: 167*f - 7726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k + 5*g + 67, 3*k = -g - 2*g + 90. Solve 0 = -27*a + k*a - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-3\/8))**39*(j**(-30)\/j)\/j**(1\/14) assuming j is positive.\nAnswer: j**(-2559\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -145*t**4 + 36 + 5*t**5 - 275*t + 263*t**2 + 205*t**3 + 65*t**3 + 99 - 253*t**2 = 0. Calculate t.\nAnswer: -1, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**3 - 5*m**2 - 6*m + 2. Let x be b(6). Suppose -3*z = -x - 13. Find the second derivative of -z*y + 2*y**2 - 3*y**2 + 4*y wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11 + 11.5. Suppose 62 = -8*o + 94. What is the second smallest value in 5, v, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1156 and 885?\nAnswer: 1023060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 2*v**2 + 4*v**2 - 6 + 3*v - 5*v**2. Let w be l(-5). Suppose 7*x - 11 = -w*x. Let s(b) = -b + 1. Let f(q) = -5*q + 7. Calculate x*f(k) - 6*s(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 181 = -2*z + b + 211, 0 = -4*z - 3*b - 110 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 35*h + 3597. What is p(-103)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -425, -3877, -13225, -31409, -61369, -106045, -168377?\n\"Answer: -490*w**3 - 8*w**2 + 2*w + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k - 4*s - 40, 3*k + s - 69 = 4*s. Suppose 0 = -22*f + k*f - 12. Find the third derivative of 15*o - 6*o**3 - 15*o - 9*o**2 + 19*o**f wrt o.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -16*h**2. Let v(q) = 532*q**2. What is v(w(b))?\nAnswer: 136192*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 206408, 206327, 206230, 206111, 205964, 205783, 205562, 205295?\n\"Answer: -c**3 - 2*c**2 - 68*c + 206479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -10 - -19. Let t = -11 + x. Which is bigger: 3.1 or t?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**2 + 10*d + 32. List the prime factors of m(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 - (13 + -17 + -9 + -26)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1759338, 7037344, 15834022, 28149372?\nAnswer: 43983394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4204 (base 9) in base 3?\nAnswer: -11020011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**4\/7 + 802090*x**3\/7 - 80418144966*x**2\/7 - 80418947058*x\/7.\nAnswer: -2*x*(x - 200523)**2*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -56*x - 392. Determine z(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6917473397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 318 = 4*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 4*w + 48, 7 = 4*w + 4*c + 15. Let g(l) = -1689*l - 8. Let h be g(w). Suppose -11355 = 7*d + h. Round d to the nearest one hundred.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes after 4:08 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 277 is divided by 44.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 50*a + 7 + 5 - 12 - 314*a as u + c*a and give c.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 4*z + 5*v, -v + 3 = -4*z + 19. Suppose -8 - 4 = -3*k, -5*f + z*k = 2. Suppose 0 = 3*d + y - 41, -5*d - y + f*y + 55 = 0. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1961 rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 383105 is divided by 6384.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o - o = 0. Suppose o = -0*q - 6*q + 96. Let h(g) = g**3 - 16*g**2 + 7*g + 15. Is h(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-108)\/(-54)*(-13)\/2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-39)\/9 - -2)\/(6\/(-18)). Let q(l) = 60*l**2 - 4 - l**3 - 51*l**2 - d*l - 4. Give q(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1893, -7540, -16939, -30090, -46993, -67648, -92055?\n\"Answer: -1876*h**2 - 19*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 471, -4, -5, 5, 0, -11, -3 in decreasing order.\nAnswer: 471, 5, 0, -3, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*r + 0*r + r)*(-2 + 3 - 4)*(4*r - 4*r**2 - 4*r) in the form a*r**2 + o*r**3 + h + u*r and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 335146.499735 - 335144. Let g = 129.5 + -127. Let s = g - t. What is s rounded to 5 dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 1767 = -8*b, b - 10*q + 5*q = 207. Solve -b*c + 239*c = 51 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10 - -5) + (23 - (6 - -2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 492 = n, 34 - 32 = -x. What is the least common multiple of n and 36?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -7*k + 17. Let s(c) = 14*c - 23. Let j be s(k). Let d(f) = -5*f + j*f + 5 - f. Give d(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((l\/l**(-8))\/l)\/(l**(-3)*l))\/(l**(4\/5))**(-2\/125))**(-50) assuming l is positive.\nAnswer: l**(-12516\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -13 - 3. Let y = 0.25 + -2.25. What is the nearest to y in m, 0.2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15 + -39. Let y = -43 - s. Calculate the remainder when 54 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*t + 536 + 6*t**2 - 2*t**2 + 278 + 4*t.\nAnswer: 4*t**2 + 814","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(52) + (-3*sqrt(3328))**2.\nAnswer: 2*sqrt(13) + 29952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -21 - -28. Suppose -5 = u - 3*t, t = -u - d - 6. Is u greater than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-613)\/((-542505)\/1062))\/(4\/14).\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 189108\/135 - 18\/(-15). Suppose -4840 = -4*f + 3*y, f + 192 - g = -3*y. List the prime factors of f.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-250)\/(-4)*(-72)\/(-45). Suppose 2*a + 5*w = -2*a + 76, j = 5*a + 5*w. What is the remainder when 68 is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**3 - m**2 - m - 2. Let x be c(-2). Let h be (-6)\/((2\/(-5))\/((-5)\/(-25))). Solve -h*z + 2 = 3*f - 1, x = 4*z - 5*f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3\/13 - 1\/117. Is i at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1*19\/(-2)*2 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((a - 2*a + 0*a)*(1 + 1 - 3) - 3*a + a - 2*a)*(2*a**2 + 0*a**2 - a**2).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -2*p**2 - p + 2. Let k(a) = -4*a**3 + 4*a**2 - 65*a - 4. Calculate 2*h(q) + k(q).\nAnswer: -4*q**3 - 67*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 467089455 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 10*w**2 + 2*w - 137. Let b = 282 + -289. Let t(o) = 19*o**2 + 2*o - 274. Let k(y) = b*j(y) + 4*t(y). Differentiate k(d) with respect to d.\nAnswer: 12*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87588 = -6*c - 7308. Suppose q - 2*q = -2280. Let o = c - q. Round o to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 62 and 1519?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -128 + 128. Let g(t) = 2*t**2. Let h be g(1). Let 3*u**3 + r*u**3 - 5*u**4 + u**3 + 3*u**4 - h*u**2 = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 297, -2\/7, -102225.\nAnswer: -102225, -2\/7, 297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 195845473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a microsecond in nanoseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5649 + 5648.99997397. What is u rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 44329, 44429, 44531, 44635, 44741?\nAnswer: 44849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -9*o - 1881. Calculate k(-209).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.3  (b) -3  (c) 55\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1215 = 37*t - 152*t - 5427 - 273 for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 - 7. Let s = -2 - j. Which is the smallest value?  (a) -4\/3  (b) -0.5  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the second derivative of 1\/18*l**3 + 1\/42*l**7 - 1\/15*l**5 + 11*l + 0 + 0*l**2 + 1\/18*l**4 - 1\/45*l**6. Let i(j) = 0. Calculate j.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4763328 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 5\/2, -2\/7, -15, -0.016?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r**(-7)*r))\/r)**5 assuming r is positive.\nAnswer: r**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(605) + sqrt(605) + 3 + sqrt(605) + 0 + sqrt(605)*-2 + sqrt(605).\nAnswer: 2 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, b: 1, z: 4, t: 1, p: 3}. What is prob of picking 2 p and 1 z?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.053 times 4\nAnswer: -0.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.6?  (a) 18  (b) 13  (c) 37  (d) -1  (e) 0  (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the first derivative of -b**3\/6 + 3*b - 3. Let j(m) be the first derivative of o(m). Let p(x) = x**2. What is p(j(k))?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6 times -19.2?\nAnswer: 11.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-36) + 0)\/((-1)\/4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 19617*z**3 - 41*z**2 - 75*z + 1?\nAnswer: 117702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**3 + 316686*t**2 - 3483788*t.\nAnswer: 2*t*(t - 11)*(t + 158354)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1202013313 + 10?\nAnswer: 1202013323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 856.9887ml?\nAnswer: 0.8569887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*a - 249 + 217 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 175259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-248)\/186*4\/((-16)\/(-7))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 43424, 172430, 387440, 688454, 1075472, 1548494, 2107520?\n\"Answer: 43002*c**2 + 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4294649 to the power of 1\/2, to the nearest integer?\nAnswer: 2072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -66*f**2 + 335*f. What is g(5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n - 13 + 123 = 0. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3717604 is divided by 619600.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 227*j = -388 - 974 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 5*o + 4. Let p(y) = y**3 - 3*y**2 - 3*y + 2. Let w be p(3). Suppose -7 = -2*f + 1. Let v(g) = 3*g + 2. Determine f*j(r) + w*v(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -345 = 5*t + 2*q, 9*t - 380 = 14*t - 5*q. Suppose 0 = 21*k - 17*k - 1280. Let n = k - t. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 456\/(-224)*-7*8\/(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11101100011111 + 1101111?\nAnswer: 11101110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -550 - 147 - 274 + r.\nAnswer: r - 971","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 523, 346, -109, -974, -2381?\nAnswer: -4462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 + 0)\/2*-6. Let y(n) = 13*n - 3. Let i be y(q). Calculate the remainder when (-1498)\/i + (-2)\/3 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 72*l**2 + 398*l**2 - 75*l**2.\nAnswer: 395*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 116189.285 to the nearest 100.\nAnswer: 116200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*c**4 - 5*c**4 + 4*c**4)*(-3*c + 0*c + 2*c) + 2 - c**5 - 2.\nAnswer: -3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the first derivative of -r**2 + 51*r - 15. Let q be k(23). Solve 2*v + 19 = -3*c + 6*v, -q*v = -5*c - 25 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22508 greater than 22508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -v**3 + 3 - 3 + (-4*v**2 + 0*v**2 + 6*v**2)*(v - 4*v + 2*v) - v**3 + 3*v**3 - 4*v**3 + (0*v - 2*v**2 + 0*v)*(3*v - 3 + 3).\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7*a**3*l*z**2 - a**3*l - 2*a**3*z**3 - 2*a**2*l*z**3 + 2*a**2*z + 18*a*l*z**3 wrt a.\nAnswer: 42*l*z**2 - 6*l - 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*w**5\/2 + 325*w**4 - 3525*w**3 - 36350*w**2 + 915655*w\/2 - 418275 = 0. Calculate w.\nAnswer: -11, 1, 10, 13, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (142\/(-994))\/(4\/42)*4\/13.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**2 + 5*q + 21. Let c be z(-10). Suppose -5*j + c = -s - 36, 0 = 2*j - 3*s - 35. Calculate the remainder when j is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.0972 - 0.098458. Round v to four decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 3*a**5 - 21*a**4 + 48*a**3 + 15*a**2 - 24*a - 3. Let k(i) = -i**4 + 4*i**3 + i**2 - i - 1. Let t(f) = 9*k(f) - w(f). Factor t(v).\nAnswer: -3*(v - 2)*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 76.48362 weeks?\nAnswer: 770954.8896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**3 - 8*t**2 + t - 6. Let c be x(8). Solve -3*w = -7 - c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 59269 + -3319171\/56. Find the common denominator of 7\/4 and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4641 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.005628118 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o**4 - 10094244*o**3 + 8491136733378*o**2 + 16982303749500*o + 8491156921875 = 0. What is o?\nAnswer: -1, 1682375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-24) - ((-18)\/(-48))\/1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 161*v - 155*v - 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1635898 a multiple of 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 213014663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qzwq when four letters picked without replacement from qqwqwwzqzwzw.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7505297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**2 + 7*q - 1. Let w be n(6). Sort 0.1, w, -6\/7 in descending order.\nAnswer: w, 0.1, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -19, -47, -1, 6, 4.\nAnswer: -47, -19, -2, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the first derivative of -j**3\/3 - 3749. Let s(a) = a + 215. Give s(x(i)).\nAnswer: -i**2 + 215","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aelpaal. Give prob of sequence ella.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1444 + -739543?\nAnswer: -738099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 75\/532 and -71\/20.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -716, 2, -4, 0, -1970 in increasing order.\nAnswer: -1970, -716, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -4630 smaller than 1\/6774?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the first derivative of -3*q**2\/2 + 70*q - 8233. Determine d(18).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 97, 120, 145, 172?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 289 - 279. Suppose -46 = -b*f + 274. Calculate the remainder when 95 is divided by f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 363 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 72200567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 144 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62*v + 55*v - 3857 = 0. Let s = 916 + v. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the second derivative of -98*o**6\/15 + 103*o**2\/2 - 124*o. Find the first derivative of h(d) wrt d.\nAnswer: -784*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -j**3 + 2*j - 88 + 83 - j**4 - 3*j**2 + 3*j**2 to the form x*j + q + k*j**4 + l*j**2 + z*j**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4487 (base 11) to base 16.\nAnswer: 170f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 5*h**3 + 4*h**2 + 2*h. Let m(u) = -u**3 - 3*u**2 + 0*u**2 + 2*u**2. Suppose 0*q = 3*q - 3. What is q*c(l) + 3*m(l)?\nAnswer: 2*l**3 + l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 15.021 + -15. Let p be ((-10)\/4 - -3) + (-9)\/(-24). Let q = p + -5\/8. Are w and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 172947 is divided by 99?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 - 1. Let i = -5 - 0. Sort y, i, 1\/3.\nAnswer: i, 1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 295 at least 252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-8)\/(-36) + (-106)\/(-9). Suppose s - 18 = -7*r + 3*r, 0 = 2*s - r. Find f, given that x*f**4 - 29*f**3 - 6*f - 7*f**3 + 33*f**s + 0*f - 3*f**3 = 0.\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 6580284?\nAnswer: -5\/6580284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (598\/(-416) + (-1)\/16)*228\/(-3). Solve g - 87 = 9*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -5, 0.21, 1\/6, 114, -1\/5, 1091?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r + 4*y - 72, 7*r + 4*y = 8*r + 24. Let v be ((-6)\/r)\/(-2 + 1). Let w be 1\/(-1) - (-6 - -1). Put 1\/3, v, w in descending order.\nAnswer: w, 1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 16 - (46 - 24)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 3*o + 37 = 0, 3*o + 0*o + 19 = 2*k. Suppose k*v - 3*v + a = -1410, 0 = -5*a. List the prime factors of (v\/4)\/(6\/(-4)).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 3*r + 23, -p + 8*r + 1 = 11*r. Solve -20*y + 35 = -p*l - 17*y, -30 = 3*l - 3*y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence su when two letters picked without replacement from {d: 4, g: 1, m: 1, s: 6, u: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 364*k = 361*k + 15. Let t be 8 + (k - 4)*-5. Solve -3*b = t*i - 4*b + 14, -4*b + 20 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 218963636?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 - -101202?\nAnswer: 101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are -2\/6951 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21323 + 1027 = -298*a for a.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 4 - 4*x + 0 - 2 - 4. Let v(m) = m**2 + m + 1. Let z(c) = k(c) - 2*v(c). Factor z(q).\nAnswer: -2*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25, 55, 85, 115, 145?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 440 - 182. Let j be ((-14)\/21)\/((-2)\/2952). Suppose -4*a + j = -4*c, a - c - 3*c - o = 0. Calculate the greatest common factor of 22 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**3 - 22*j**2 - j + 15. Let f be y(22). Let g(a) = a**3 + 7*a**2 - a - 2. Let z be g(f). Put z, -6, 8, -2 in descending order.\nAnswer: 8, z, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 + 4*h**2 - 6*h - 1. Let l(j) = 2*j + 2. Let g = 16 + -12. What is the smallest common multiple of l(g) and q(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 97 - u - 31*u**3 - 49 - 49 - 3*u**2 + u to the form a + c*u**3 + d*u**2 + b*u and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -7*54\/(-168) - (-1)\/(-4). Suppose -2*l = -4*l + 10. Suppose l*o - x = 4*y, 3*y + 4 = 2*y + 3*o. Solve 0 = y*c - 4*z - 26, c + z - 4 = -2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -310*l**3 + 6822*l**2 + 1334*l - 299 wrt l?\nAnswer: -1860*l + 13644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -310*s**4 + 470*s + 52 + 8*s**3 - 468*s - 125*s**3 + 312*s**4 as q + w*s**2 + g*s + h*s**4 + f*s**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -439, -437, -435, -433?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = -15*o - 23 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 2*i**2 + 11*i - 17. Let h be k(-7). Suppose -2*r = -2*c - h*r + 772, 0 = -2*c + r + 787. What are the prime factors of c?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -48, -27, 14, 81, 180?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*o - 6*o + 4*o**3 + (2 - 3 + 0)*(1 - o**3 - 1) + (o**2 - 2 + 2)*(27 - 27 - 8*o) - 4*o + 4*o - 2*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 270652694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 33 - 14*w**2 - 2*w**2 + 16*w - 4 - w**3 + 3*w**2. Let o be i(-14). Sort o, 4, -16.\nAnswer: -16, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**2 + 8*d - 13. Let g be u(4). What is the lowest common multiple of (17 - 18) + 25*g and 12?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 4*a + 3. Let c(b) = -5*b - 4. Let d(h) = -2*c(h) - 3*l(h). Let x(w) = w + 1. Let t(v) = -d(v) - x(v). Let j(g) = -2*g. Determine j(t(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 87 - 85. Suppose 3*z = -2*k + 500, -o*z + 0*z = -k + 250. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8 and 7667784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -158*h. Let j(q) = 79*q - 1. Determine c(j(g)).\nAnswer: -12482*g + 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1516\/3 - -526. Find the common denominator of y and -23.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h + 9 + 8 = b, 2*h + b + 3 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dktkutxktukuufd. Give prob of picking 1 t and 1 u.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * -18\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 11, w: 1}. What is prob of picking 3 g?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/(-2)*(2754\/17)\/27.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -600 + 2498. Suppose 4*w = 2*y - 938, -16*y = -12*y + 3*w - p. Is 26 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:55 AM and 5:11 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1124*v - 1153*v = -1827. Solve -243*m = -234*m - v for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jyjjjyyyyyy. Give prob of sequence yjj.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1816*n + 12157*n = -894272 for n.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2856077 milligrams in nanograms?\nAnswer: 285607.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -19 + 0 + 2 + -3. Let t = 23 + o. Solve r + 15 = t*y, 0*r + 25 = -4*r + 5*y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 24.39 - -0.61. Let i = v - 52. Let q = i + 26.736. Round q to two dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-144)\/(-45))\/8 - 9544\/10. Let w = 1870 + c. List the prime factors of w.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * -587.\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 32437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 5*l - 4*l + 10 = 0, 4*l + 16 = 0. Suppose -m + w*d + 9 = 0, -m = -6*m - 3*d + 6. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -2\/13  (b) 2  (c) 69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -5, -2\/39, -4, 115, 2\/17?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**3\/19 + 11014*u**2\/19 - 13344352*u\/19 - 5151349960\/19.\nAnswer: -2*(u - 2906)**2*(u + 305)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes after 6:18 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11680 - -11687. Put 1\/36, -1, x in descending order.\nAnswer: x, 1\/36, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1305919866527\/655677 + -73693552\/37. Let a = r - 4\/1969. Calculate the common denominator of ((-2)\/62)\/((-1)\/(-50 + -1)) and a.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -58, -104, -140, -166, -182?\n\"Answer: 5*y**2 - 61*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 27345907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 43 - 171 + 11)*(d - 2*d + 0*d) to r*d + s and give r.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 49.9188 times 44?\nAnswer: 2196.4272","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence izc when three letters picked without replacement from {c: 1, i: 1, z: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -8, 8172482.\nAnswer: -8, 3, 8172482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r**2 - 7703240*r - 2966995324880 = 0. What is r?\nAnswer: -770324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7305167?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -j + 2*y + 16, -j + 4*y = -23. Suppose -5*v - 45 = -5. Calculate the remainder when v\/(-28) + (-194)\/(-7) is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 + 3 + -8 - -2 - -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 9 + 149?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 10146371 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -13*d + 16*d + 0 + 2 + d**2 - 3*d**2 - d**3. Let z be r(-3). Let s be (21\/14)\/(1\/z). Let i(x) = -3*x. Determine i(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -28*d + 46. Let m be k(5). Put m, -5, -4 in decreasing order.\nAnswer: -4, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the first derivative of -f**4\/4 + f**3 - 45. Solve n(y) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the first derivative of -3*m**5\/5 + 40*m**3\/3 - 70. Find the third derivative of w(g) wrt g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/220 and -12\/385.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*z**2 - 33*z**2 + 19*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 2\/13  (b) -1  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.169 in 1.3, -0.5, -2\/11, -49?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s. Let w be 10\/3*(-6)\/(-5). Suppose 5*l + 61 = 6*z - 2*z, l - 27 = -2*z. Let v(m) = 12*m**2 - w*m - z*m**2 + 4*m. Calculate v(u(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 34403048101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**2 + 30*a - 804. Give x(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -2*t - 23. Let j be 10\/12 - (-3)\/t. Let l = 2.5 - -0.5. Which is the closest to j?  (a) l  (b) -2\/15  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 1132*u + 1134*u + 3 = 0, -4*p + 12 = -3*u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -4*g + 39787. Let o(v) = -13*v. Calculate f(o(p)).\nAnswer: 52*p + 39787","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*w + 10*w - 3*h + 834 = 0, 0 = 2*h. What is w rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 52 + 68 = 0. What is the highest common factor of s and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2144129 to the power of 1\/2, to the nearest integer?\nAnswer: 1464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -18552, -37188, -56006, -75096, -94548, -114452, -134898, -155976?\n\"Answer: -15*v**3 - v**2 - 18528*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -6, -3988, -3\/7, -2\/3?\nAnswer: -3988","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8) - ((sqrt(64) + sqrt(64) + -4*sqrt(64) + sqrt(64) + sqrt(64))\/sqrt(8) - sqrt(8)))\/(sqrt(484)*-3 + sqrt(4)).\nAnswer: -sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 59*o - 400*o + 164*o - 351*o to the form r*o + y and give r.\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9021 and 9486?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 43987 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = 5*l + 10. Let n(p) = 8*p - 4. Let k be n(3). Let x = k - l. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 - 1311?\nAnswer: -1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69217*d + 1008 = 69385*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(1\/10))**(-27))**46 assuming h is positive.\nAnswer: h**(-621\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (108\/(-18))\/(6\/(-4)). Let u be (1 - (-1)\/1)*1. Factor 3 + 1 - 6*b + 4*b - z*b**u - 4*b.\nAnswer: -2*(b + 2)*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7296185 divided by -5?\nAnswer: 1459237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1886 + -1257. What are the prime factors of b?\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(5\/3)\/p)**5 assuming p is positive.\nAnswer: p**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 24\/156 - 674\/(-13). What is the highest common divisor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:41 PM and 12:48 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 119*a**3 + 2*a**2 - 10*a + 2. Let j(w) = -w**3 + w**2 - 2*w + 1. Give 2*j(h) - v(h).\nAnswer: -121*h**3 + 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = -4*g - 2*c, 2*c + 25 = 5*g - 3*c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2758, -4748, -6738, -8728?\n\"Answer: -1990*p - 768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8.6 in -1\/9, -66, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, 13, -152\/245 in descending order.\nAnswer: 13, -152\/245, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 140 + -54. Let d = -53 + w. Let q = 32.8 - d. Which is the second smallest value?  (a) q  (b) -0.1  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 - 3*r**2 - r + 3. Let a = 9 + -6. Let g be k(a). Suppose g = -2*f + 24339 - 1339. Round f to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -115094, -10, 84 in increasing order.\nAnswer: -115094, -10, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add -265 and -2.7.\nAnswer: -267.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 0 + 6)*(3 - 7 + 21*t + 4).\nAnswer: 42*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -f**5 + f**3 - f**5 - 3*f**3 + (16 - 8 + 2)*(3*f**5 - 2*f - f**5 + 0*f**5).\nAnswer: 18*f**5 - 2*f**3 - 20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 + 4*s + 4. Let z be m(4). Let d = z - 6. Is 2 - (-19*1 + d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 445468280545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1289467992?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 367 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14*n**3 - 18*n**4 + 2*n**5 + 151*n + 150*n - 317*n + 18*n**2.\nAnswer: 2*n*(n - 8)*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3\/(81\/6))\/((-1)\/(-3) - -1). Suppose 0*x - 20 = 4*q - 4*x, 3*q - 4*x + 12 = 0. Which is the nearest to q?  (a) 0  (b) d  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z + d - 38935, -3*z + 64310 = -4*d - 52551. What is the ten thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -10956974.08 to the nearest one hundred thousand.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-7 - (3 - -2)) + (-46 - -11) - -3 - 12\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -2 + 2*i + 0 + 14. Let u be v(-4). Solve -u*y + 7*y = 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -33*y - 271. Give j(-9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*y**2 - 3*y**2 - y**2)*(3 - 2 - 2)*((-2 + 2 - 2)*(3 + 0 - 5) + 0 + 0 + 3 - 2 - 1 + 1) to j*y**2 + i + h*y and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -493 - -495. Let p(y) = y**f - 63 + 20 + 3*y + 39. What is p(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 28*s - 5. Let g be d(2). Let a = 55 - g. Solve b + 3*b = a*t - 4, 3*t - 2 = 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 605*k**2 - 17545*k + 30. Give i(29).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3739 - -3738. What is the third smallest value in w, 3, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, 85066, 2\/73, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.5, 3, 1\/3, -1.3, 186?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -3*h - h + 34, -5*h + 2*q + 43 = 0. What is the lowest common multiple of 3 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*v - 147 = -12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 1 - 5)*(1 + 2*h - 1) + (4*h - 3*h + h)*(5 - 4 - 3) + 5*h - 2*h - 5*h + 2*h - 19*h - 11*h.\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 174\/(-116)*(-10)\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 2, o: 4, g: 9, u: 4}. Give prob of picking 1 v and 2 o.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1967 and 2248?\nAnswer: 15736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i + 5, -4*w + 25 = -2*w - 5*i. Let g = w - 12. Calculate the remainder when 25 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 48, 0.2, -2, 1 in descending order.\nAnswer: 48, 1, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 848?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1111205 (base 6) to base 5\nAnswer: 3243041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 2*y + 7*y = 871, -3*a + 3*y = -660. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -159235*x - 51. Give i(0).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2, -33.2, -3 in ascending order.\nAnswer: -33.2, -3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6 + 3)\/(0 + -1). Let w(h) = -h**3 + 5*h**2 - 5*h + 3. Let x be w(n). Suppose y - x = -1. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 114 a factor of 10298874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 - 58668a5?\nAnswer: -58668a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7488)*1 + sqrt(52) + sqrt(1872) + 2*sqrt(1872))\/(sqrt(576) + (-1*sqrt(576) + sqrt(576))*1).\nAnswer: 31*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -20, 14, -4, -3, 1, -5 in ascending order.\nAnswer: -20, -5, -4, -3, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(55)\/(4*sqrt(1100)) + 2))**2.\nAnswer: sqrt(5)\/10 + 1281\/320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23070 divided by -5.\nAnswer: 4614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -29*r + 41. Let g(w) = -7*w + 9. Let b(d) = -2*a(d) + 9*g(d). Determine b(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q - 2*y - 51 + 49 = 0, 0 = 4*y + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-352)\/(-10) + (-5)\/25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (120\/1320 + (-40)\/(-286))\/3?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**3\/15 + 1956*x**2\/5 + 285768*x - 1728720.\nAnswer: 2*(x - 6)*(x + 1470)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 2*x. Let g(l) = -l + 25. Let n(j) = j. Suppose 0 = v - 4*k + 21, 2*k + 4 - 17 = 3*v. Let y(z) = v*n(z) + g(z). What is c(y(q))?\nAnswer: -4*q + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**3 + y**2 - 1. Let s(u) = 110*u**3 - 99*u**2 + 99. Let x be 10184\/57*9\/(-4) - -6. Give x*l(t) - 4*s(t).\nAnswer: -44*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 - -63. Let p = 53.7 - c. Round p to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:26 PM and 8:04 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 1 = d, 0 = -m + 2*d - 3*d + 7. Let w = m - -15. Calculate the remainder when 84 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 48 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3140\/11 + -286. Let v = 535\/77 - 78\/11. What is the second biggest value in u, v, -0.6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9 - 63) + (26 - 9)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4286988*r**2 - 2207645*r?\nAnswer: -8573976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 594774466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 270 - 95. Is 207 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(25)\/(sqrt(20)\/sqrt(4)) + 6*(5*sqrt(20)\/sqrt(4) - sqrt(5)))**2.\nAnswer: -250*sqrt(5) + 3150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 54795284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((6*-2*(sqrt(833) + 0) - (sqrt(833) + -1 + -3 + sqrt(833) - sqrt(833) - ((sqrt(833) + 1)*6 - sqrt(833))))**2 + 3).\nAnswer: -1120*sqrt(17) + 53415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -112022011211 (base 3) to base 7.\nAnswer: -2251525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6076921 to the nearest integer?\nAnswer: 2465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 808 and 316332?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2629 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 35\/(-7)*-2*(-3)\/(-6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -33 - -42. Solve x = k + 3*k + 3*g, 2*g - 6 = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**3 - 4943*h**2 - 628560*h + 1276884.\nAnswer: (h - 5067)*(h - 2)*(h + 126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -575*p + 30399. Calculate w(52).\nAnswer: 499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the first derivative of o**4\/2 - 2*o**3\/3 + o + 6. Give r(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 102 + -88. Let t(b) = -4*b + v*b - 7*b - b. Let c(w) = 28*w**2. What is c(t(g))?\nAnswer: 112*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s = 2*f - 2, -7*s + 9*s + 2*f = 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, q: 1, i: 1, j: 2, y: 2, x: 2}. What is prob of picking 1 j and 1 b?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.094518km in meters?\nAnswer: 6094.518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -68*b + 51*b + 1190. Calculate the lowest common multiple of 10 and b.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 85320 divided by 30.\nAnswer: 2844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - 2 - -2 - (-1 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 37*w**2 + 14*w - 3*w - 38*w**2 to the form m*w + h + p*w**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n*n**(-1\/2))*n)**40\/(n*n\/(n*(n**(-1)\/n)\/n))**(1\/72)*(n*n*(n*n*n*(n**(2\/21)\/n)\/n)\/n*n**(-1\/17))**(-4) assuming n is positive.\nAnswer: n**(110953\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 - 142030?\nAnswer: -142021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -2*n**2 + 11431538*n - 171472620 = 0.\nAnswer: 15, 5715754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57154*c + 57154*c - c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1 and 261968131.\nAnswer: -26196813.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**2 - 6*w - 5. Let h be x(6). Let a(p) = -p. Let g be a(h). Suppose -114 = -g*v - 4. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 - (-18 + ((-112)\/(-32))\/((-6)\/(-12)) + 17).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 9 = 3*j, -2*q + 7 = 3. Suppose w - 5*r = 7, j*w - 3*r = -2*r + 11. Solve -w*m - 2*m = 3*o, 4*m = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/68*(21\/12)\/((-2)\/8)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -452 + 672. Calculate the remainder when n\/8 - (-15)\/(-10) is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 3*t**2 - 3. Let k(z) = -z**2 + 1. Let h(l) = 2*f(l) + 5*k(l). Suppose -p + 28 = -5*o + 2*p, 4*o + p + 19 = 0. Let n = o + 6. Give h(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/(-9) - 800\/(-360))*2. Solve v + 3 = -y + 2, 0 = -p*y - 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes before 5:13 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 113, 537, 1065, 1697, 2433, 3273?\nAnswer: 4217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -94831*d**2. Let c(m) = -3191*m**2. Calculate s(c(g)).\nAnswer: -965614855711*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -30*m**2 - 60641732*m - 4042782.\nAnswer: -2*(m + 2021391)*(15*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h\/h**(3\/13))**(-27\/2) assuming h is positive.\nAnswer: h**(-621\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2607\/711*(-4)\/418.\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 202734.2 rounded to the nearest 100?\nAnswer: 202700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand g**2 - 2*g + 2*g + (-3 + 3 - g)*(-3*g + 0*g + 2*g) + (3*g + g - 6*g)*(-2*g + 3 - 3) - 6*g**2 + g**2 + 3*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10 - -1.5. Let j = 12 - s. Let u = -0.59 + j. Which is smaller: u or 1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 + -1. What is the biggest value in -1\/3, j, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-10)*v*v**(-3\/5)\/v)\/((v*((v*(v*v**(2\/31))\/v)\/v)\/v)\/((v\/(v**(-3\/2)\/v))\/v)))**(19\/3) assuming v is positive.\nAnswer: v**(-48089\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(1*sqrt(192) + 5 - (sqrt(192) + (-1*(-1 + sqrt(192)) - sqrt(192))))*3)**2.\nAnswer: 41472*sqrt(3) + 254016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 155728217 a multiple of 2334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -10*y**2 - y + 1. Let x be u(1). Let h be 1 + x\/6 - (-551)\/57. List the prime factors of (27\/(-6))\/h - 38\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(140) - (sqrt(140) - ((-2*sqrt(140) - sqrt(140)) + sqrt(140))))\/sqrt(5))\/(sqrt(4) + sqrt(12)\/(sqrt(6)\/sqrt(2))).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 14727, 14728, 14729, 14730?\n\"Answer: n + 14726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 323 (base 7) to base 11.\nAnswer: 13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2\/9  (b) 1\/5  (c) -2  (d) -4\/5  (e) -6  (f) 12  (g) 8\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {u: 3, j: 2, f: 1, q: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -44816653*h**2 + 429591*h - 3 wrt h?\nAnswer: -89633306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -879, -990, -1101, -1212, -1323?\nAnswer: -1434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -9 + -2103?\nAnswer: -210c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 2*u**3 - 3*u - 2. Let l(t) = 6*t**2 - 2 - 2*t + t**3 - 6*t**2. Let r(a) = -3*l(a) + 2*s(a). What is the derivative of r(j) wrt j?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13929 + 13967. What is the remainder when 1120 is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 12 = 3*q, -6 = q + 4*t + 3. Suppose -4*n = -3*z + 263, -2*z = -q*n - 140 - 37. Calculate the smallest common multiple of 6 and z.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 198914966*o*u**2 - 1046551*u**2 - 14*u wrt o.\nAnswer: 198914966*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 111?  (a) -4  (b) 1\/5  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 54526.53 litres in millilitres?\nAnswer: 54526530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 22481 divided by 1778\nAnswer: 22481\/1778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/(-1) + 1 + 4. Let s be ((-4)\/2)\/(-2) + n. Suppose -2*d - 10 = -s*d. Solve -3 = d*f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -6*f. Suppose -2*w - 2*w = f. Do w and 0.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 1189*v**3 + 12*v**2 + 5067. Let t(o) = 3*o**3 + 2*o**2 - 1. Let z(n) = -6*t(n) + y(n). What is the derivative of z(d) wrt d?\nAnswer: 3513*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 397 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4720 and 80.\nAnswer: 4720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 88.92292373 rounded to 3 dps?\nAnswer: 88.923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -31*c**2 + 148*c - 2. Let i(t) = 65*t**2 - 296*t + 5. What is 5*h(y) + 2*i(y)?\nAnswer: -25*y**2 + 148*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.033?  (a) 0.5  (b) -2  (c) -5  (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10 + 28. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**0)**2\/(u**8\/((u**0*u)\/u)))**(-1\/2) assuming u is positive.\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 241444314 (base 5) in base 16?\nAnswer: 112a5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95 is divided by 54.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a week in seconds?\nAnswer: 45360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*w**3 + 10*w**3 + 27*w**3 + 2 - 3 - w as d*w**3 + x*w + o + l*w**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -24*f + 3. Let r(o) = -6*o + 2. Let s(m) = -15*r(m) + 4*w(m). Let k(g) = -5*g - 4. Calculate the remainder when s(-8) is divided by k(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 363 = -4*t, -2*t + t - 3 = 0. Suppose 2*b = 3*b + 4*h - d, 0 = -4*b - 5*h + 311. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p - 237*l + 235*l = 8, 0 = -4*p + 5*l + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 276 + -276. Suppose d = 11*c - c - 940. What are the prime factors of c?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17.3 times 0.1?\nAnswer: -1.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i + 3. Let w be -10*(-4 - -2)*-1. Let m be 3 + (3 + 2 - w). Let z be ((-6)\/(-5))\/(m\/(-70)). Determine g(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -914 + 61 = -15*i + 24*i - 160 for i.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6.1 + -4. Let w = -2.15 + n. Let o = -4.05 - w. What is the biggest value in o, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 3 x when four letters picked without replacement from hxhxxh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -30212000 to the nearest 1000000.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((10\/15)\/((-50)\/15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -57, -47, -31, -9, 19?\n\"Answer: 3*z**2 + z - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33005.\nAnswer: 5, 7, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f + 3*r + 24 = 0, -f - r - 3 = 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(128)*-2 + 0)*3 + -1)**2.\nAnswer: 96*sqrt(2) + 4609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the first derivative of 0*v - 4\/3*v**3 + 4 + 2\/5*v**5 + 0*v**2 + 0*v**4. Find the third derivative of m(h) wrt h.\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in twenty ninths of a hour?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1\/10, 20, -0.66 in descending order.\nAnswer: 20, 0, -1\/10, -0.66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -4*a + 8120, 32431 = 5*f + 3*a - 8237. Suppose 0 = 4*s + f + 744. Round s to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18 + -14. Suppose 3*y - i*c - 2 = 29, y + 5*c + 15 = 0. Suppose y*w - 734 = -134. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f + 10 = -3*f. Suppose -f*m + 285 = l, 9 = -4*l + m + 1149. Suppose 9*s = 4*s + l. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 18*i**2 + 77*i + 628. Is a(-8) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4 + 1)*(-16)\/(-6). Let v be z\/(-16) - 7\/(-2). Solve v*h = 3*c + 3, 4*h = -4*c - 1 + 25 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3310, -6580, -9852, -13132, -16426?\nAnswer: -19740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 66136 = 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 167 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -25 + 39. Suppose -10*j = -17*j + c. Calculate the smallest common multiple of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 1 d when three letters picked without replacement from gagggddga?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 AM and 2:04 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3114844126?\nAnswer: 2, 1557422063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -160*w = -3*z + 643, 2*w - w - 87*z + 88*z = -3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1073 + -487. List the prime factors of o.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**3 + 31*r**2 - 5*r + 51. Let b be h(32). Let g = -617 - b. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.79 and -10.61?\nAnswer: 8.3819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1501640 is divided by 750760.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0079208 rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 5*a**3 - 3775*a**2 + 714415*a - 710645 = 0.\nAnswer: 1, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 476*h**2*v**2*z - 12*h**2*v**2 + 2*h**2 - 2*h*v**2 - 6582*v**2*z - 477*v**2 + 18 wrt z.\nAnswer: 476*h**2*v**2 - 6582*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 3*h - 3*g, 3*g - 5 = 4*g. Factor x**h + 0*x**3 + 2*x**3 - 2*x**4 - x**3.\nAnswer: -x**3*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19103.\nAnswer: 7, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (((-7)\/(-6))\/7)\/(-1)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -518 * -2.01.\nAnswer: 1041.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 1 = -2. Let r be (1\/(-3))\/(h\/(-57)). What is the highest common factor of r and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1015\/24 - 42. Let f = p + -11\/120. What is the closest to -0.15 in 0.4, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 9\/16?  (a) -0.4  (b) 4  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 32\/(-144) - 3\/((-27)\/2). Let x = 0 - 0. Let v = s + x. Solve -5 = -4*y + q - 2*q, v = -3*y - q + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d - d + 2400000 = 0. Round d to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the second derivative of l**4\/48 + 13*l**3\/24 + 11*l**2\/4 - 5*l - 6. Solve u(j) = 0.\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -11*p - 6. Let w(y) be the first derivative of 3*y**2 + 3*y + 19. Let z be ((-204)\/(-136))\/(3\/(-8)). Calculate z*a(g) - 7*w(g).\nAnswer: 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2 + 4*f - 6. Let g = 3 - 8. Let p be q(g). Let i be (p\/2)\/((-3)\/36). What is the greatest common factor of 18 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1826, 14595, 49252, 116741, 228006?\nAnswer: 393991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 + 10. Let o(h) = -h**2 + 9*h - 18. Let l be o(4). Suppose l*r - 14 = -f*p + p, -5*r + 42 = 3*p. Calculate the remainder when 24 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**2*q**(3\/7))**28)**10 assuming q is positive.\nAnswer: q**680","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(-5) + (-2)\/(-18) + 2277866218\/5310 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.017 and 0.1852787697?\nAnswer: 0.2022787697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 243221 is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15018 + 17596 = 3*b - 5*u, -2*b = -3*u - 21741. Suppose b = 2*h - 2537. What is h rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4 - (-4 - (2 + 765\/(-76))). Let k = b + 257\/1596. Which is smaller: 1.6 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 3, -5, 13407 in increasing order.\nAnswer: -5, 2, 3, 13407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 24 in -2, -1\/10, 0, 0.4, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:13 AM and 1:50 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17 - 16. Let w = h + -1. Suppose -f - 2*f = w. Solve f = -2*o + 2 + 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - l + 29 = 0, -4*m + l = -l + 34. What is the remainder when (0 + -1)\/(m\/222) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-1)\/((b**2\/b)\/b)*b**8*b**(-1\/2) assuming b is positive.\nAnswer: b**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 160820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 4*l + 0*l = 24, 0 = 5*l - 25. What is the highest common factor of t and 374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minus 178926651705?\nAnswer: -178926651634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**3 - 22*k**2 + 22*k - 22. Let y be i(21). What is the remainder when 32 is divided by (-9)\/y*(-308)\/(-198)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-65)\/(-6*55\/66).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 7992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 1 = -0*u - u, -2*l - 5 = -5*u. What is the remainder when u\/4 + (-204)\/(-16) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 548.1851 + -548. Let t = 0.0349 + v. Sort -4, -0.3, -3\/8, t in decreasing order.\nAnswer: t, -0.3, -3\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 277 a factor of 2870551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 less than 15751913511.56?\nAnswer: 15751913512.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5.6  (b) 0.25  (c) -11459\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -25125 + 25224 + (1 - 157)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*q**5 + 183*q**3 - 390165*q wrt q.\nAnswer: -60*q**3 + 1098*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -21.16 - -21. Let p = j - -3.72. Let u = p - 0.56. What is the third smallest value in u, -2\/73, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (-28 - (5 - (20 + -26))).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*m - 45 = -97. Let v(u) be the first derivative of u**5\/60 + 7*u**4\/24 - 5*u**3\/6 + u**2 - 2. Let o(d) be the second derivative of v(d). What is o(m)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 5*l - 16 = 0, -4*n - 144 = 2*l - 148. Let q(r) = -3*r**2 - 4*r + 13. Give q(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15879984433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 571910.\nAnswer: 2, 5, 57191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 59053 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-1*sqrt(108)*-2)\/sqrt(9).\nAnswer: -3 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-76) - 395385\/(-11647)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -91 - -204. Let d = -106 + n. Let t = d - 6.66. Is t less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 2*f - 9. Let l be i(7). Suppose 2*h - h = -3*g + 43, -g + 25 = -l*h. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12) + 3*sqrt(768) + sqrt(12))\/(-2*sqrt(216)) - -1*(sqrt(800)*1 + 5).\nAnswer: 5 + 107*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 divided by -17?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 184 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 225 minus 1673?\nAnswer: -1448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 161*f. Suppose -10*i = 14*i + 96. Let j(s) = 18*s. Calculate i*a(o) + 35*j(o).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 935\/15 - 1\/3. Suppose -3*a + a = -t. List the prime factors of a - 6*(-3)\/6.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -149359 divided by 21337\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**2 + 3*h + 2. Let b = -6 - -9. Let d be y(b). Let g(n) = -n + n - 2*n**d + 0*n. Let z(u) = -2*u. Determine z(g(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 + -2)*351\/(-78). Let v = -80 - -683. Calculate the highest common factor of j and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 108548992 by 97616.\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c**3\/3 - 1439927*c**2\/6 + 1619927*c\/3 - 359984\/3 = 0.\nAnswer: -359984, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 14 - 44. Let q = -4552 + 4820. Let j = m + q. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -33675 + 87385 + 63*o**4 - 3*o - 3*o**2 - 45935 with respect to o.\nAnswer: 252*o**3 - 6*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11\/36 - -457\/1260. Let l = 95 + -92. Which is the smallest value?  (a) -4  (b) r  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -846005, -1691962, -2537873, -3383738?\nAnswer: -4229557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 187 a factor of 13368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-2)\/(4\/11673))\/840. Let y be ((-35784)\/(-640))\/21 + (-15)\/5. Let c = d + y. Is -6 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (11 - (-9765)\/(-891))\/((-10)\/(-55))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/(x*x**(-5)))\/x)\/(x\/x**4)*(x*x**(-1)*x)**45)\/((x\/(x\/(x*(x*x**(-1)*x)\/x))*x**(1\/5))\/(x**(3\/11)*x\/(x\/(x\/(x\/x**(3\/7)))))) assuming x is positive.\nAnswer: x**(19828\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 3113115 (base 6) to base 13\nAnswer: 53201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1775 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 451549 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -324*b + 307*b + 153 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the first derivative of -5*d**3\/9 - 925*d**2\/3 - 1748. What is u in w(u) = 0?\nAnswer: -370, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**3 + 9*t**2 + 28*t - 66. Give k(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + j - 13 = 0, -2*w - 2*j - 5 + 11 = 0. What is the third smallest value in 5, 0.05, w, -3\/13?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3337966 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -17930940 divided by -1110\nAnswer: 16154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34653 is divided by 1599.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 5*k**2 + 8*k + 5. Let x be s(-6). Let n = x - 96. Let i = -28 + n. What is the remainder when 37 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -8*j - 26151, -4*i + 70929 = -2*j - 33525. What is the thousands digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 20321, 20251, 20177, 20099, 20017, 19931, 19841?\n\"Answer: -2*q**2 - 64*q + 20387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:47 AM and 10:57 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*g**3 + g**3 - 1450*g**2 + 75524*g - 75524*g.\nAnswer: -2*g**3 - 1450*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -137393778 + 2?\nAnswer: -137393776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -57*b. Let r(c) = -3. Let w(h) = -4*h**2 + 6. Suppose 24 = -4*z + 16. Let q(t) = z*r(t) - w(t). Calculate g(q(k)).\nAnswer: -228*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 1235*h + 4. Let o(m) = -1239*m - 4. Let x(s) = 3*k(s) + 2*o(s). Let t(r) = -r**2 + r - 2. Let b be t(0). Let c be x(b). Round c to the nearest 100.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-2)\/2)\/((-11)\/869).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1104178 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-2\/37)\/n**(-2\/53) assuming n is positive.\nAnswer: n**(-32\/1961)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2585045975 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: Expand (-2 - 2 + 3)*((i + 1 - 1)*(-10*i + 21*i - 7*i + (-3 - 1 + 5)*(i + 0 + 0)) + 0 + 0 - i**2).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*s + 822 - 885. Solve s*c - 17 = y, -3*y - 16 = -5*y - 4*c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 4 = 1. Let j be (g\/3)\/((-2)\/12). Let n be 165\/20 + j\/8. What is the greatest common factor of n and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 187.5453kg to grams.\nAnswer: 187545.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 6*z**3 - 2*z**2 - 6*z + 2. Give y(3).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 4*s = 1194, 0 = -2*x - 3*x + 2*s + 5970. Suppose 0*w - 4*a = -2*w + x, 4*w - 2368 = -2*a. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2771 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**(-1))**(-2))**(3\/11) assuming l is positive.\nAnswer: l**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the third derivative of m**4\/6 - 61*m**2. Suppose -11*f + 40 + 4 = 0. Determine u(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 - -48. What is the units digit of (-10)\/(-4)*160\/q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1184 + -450. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3, -0.1, -1, 0.07, 0.35, 5, -2\/19?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 28*c**2 + 8399*c + 57141. What is x(-293)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11458204 is divided by 3327?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 140926209 > 140926212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -149235\/3152 or -47?\nAnswer: -149235\/3152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -791 or 14?\nAnswer: -791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87 + 47 = -22*r - 150 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxxxxxxxxxmxmm. What is prob of picking 2 x?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**3 - 16*r**2 + r - 23. Calculate j(-16).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -10*s - s + 18*s - 6*s. Suppose -2*y - 2 = 4. Let i be y\/((-6)\/(-2)) + 2. What is p(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 5, r: 2, a: 7}. Give prob of picking 1 r and 1 a.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 6, h: 10, s: 4}. What is prob of picking 1 s, 2 a, and 1 h?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1220157895?\nAnswer: 5, 11, 43, 515923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-1 - (-76694)\/6) + ((-17)\/51 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 201 - 103?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2 - 0)*39\/(-6). Let w = -53\/4 - h. Let i = -0.08 + -1.92. Is i at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-14)\/(-21)*(936 - (1 - 1)). Suppose 3*g = -4*r - x, 0 = -4*r + 4*g - 38 - 558. Let a = 304 + r. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -4*a**4\/3 + 57152*a**3\/3 - 60761216*a**2 - 156191386624*a\/3 - 29875231998976\/3 = 0?\nAnswer: -364, 7508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2919 - 6192. Suppose -3*r - 40 = -8*r. What is the tens digit of h\/(-27) - r\/36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6074 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence izqz when four letters picked without replacement from {z: 5, i: 14, q: 1}?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 + -7. Suppose w*i - 12 = 6*i. Which is the closest to 1?  (a) -8  (b) -0.1  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 3*a = -6*a + 14, 0 = b + 4*a - 9. Suppose -45 - 6 = -w + 5*u, 3*w = -u + 169. Calculate the remainder when w is divided by b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1553 is divided by 406?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 2 + 2)*(5*z + z - 5*z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 4 - (4 - (1 + 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1731, -6025, -13249, -23403?\n\"Answer: -1465*y**2 + 101*y - 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**2 + j - 1. Let i(r) = 20*r**2 + 8 + 25*r**2 - 44*r**2 + 14*r. Let y(s) = -2*b(s) + i(s). Is 16 a factor of y(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 66, 133, 198, 261?\n\"Answer: -l**2 + 70*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 4, s: 1, i: 2, k: 2, v: 2, h: 1}. What is prob of sequence kskg?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x + 0*x + 0*x)*(-4*x + 3*x + 2*x) + (-1 + 9 - 6)*(92 + 8*x**2 - 92).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -7. Suppose -o = 3*b - 8, -2*b = u*o - 45 + 18. Let i be (-110)\/(-60) - (-1)\/6. Solve -o*g + 5*a = 15, -i*g + a + 5 = 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-1\/62)*r**21*r**(-18)*r*r**(-11\/3)\/r*r assuming r is positive.\nAnswer: r**(59\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -119276790 take away 430.436?\nAnswer: -119277220.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15413532?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 42*p - 48*p - 51*p + 56 + 57*p - 28*p**2 to k*p + x*p**2 + a and give a.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 2*n - 1. Let w(h) = 2*h - 2. Suppose 0 = -5*j - 0*j. Suppose -2*q - 6 + 12 = j. Determine q*w(t) - 4*z(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 198*b**3 - 231*b**3 - 233*b**3.\nAnswer: -266*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**2 + 7*a - 9. Let k = -11 - -18. Let s be p(k). Let m = 49 + s. What is the highest common factor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-27)\/(-5) - 38\/95. Solve -3 = 3*t - 2*m + 4, 7 = 3*t + y*m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -98, -196, -300, -410, -526?\nAnswer: -648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*v + 29*v - 3489 + 3479 = 2*x, -5 = x - v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 206064?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 100552 divided by 2.\nAnswer: 50276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/(-15 + 3 + (6 - -5)). Let s(q) = q + 1. Let p(r) = 9*r**3 - 2*r - 1. What is c*p(y) + 2*s(y)?\nAnswer: 9*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-4*sqrt(171)*3 - sqrt(171) - (1 + sqrt(171) + -2)) + 2 + -2)*4)**2.\nAnswer: -1344*sqrt(19) + 536272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(156) + (sqrt(156) - ((-2*sqrt(156) + sqrt(156))*-3 - sqrt(156))))\/(sqrt(12) + sqrt(12) + 1*sqrt(12)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 32053 (base 9) in base 2?\nAnswer: 101001011000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q - 5*p = 35, 10*q - 5*q = -p + 22 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 at least as big as 42\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/6 and 39\/136.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {o: 4, j: 1, q: 6, i: 5}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes after 8:32 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -4*r, -157 + 141 = -4*i - 4*r. Let o(m) = -m + 1. Let s(y) = -9. What is i*o(g) + s(g)?\nAnswer: -g - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**3\/4 + 19*m**2\/4 + 13*m\/2 - 30.\nAnswer: -(m - 20)*(m - 2)*(m + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a**2\/7 + 33578*a\/7 + 6246064\/7 = 0. What is a?\nAnswer: -184, 16973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 2, -173, 0, 5 in descending order.\nAnswer: 5, 2, 0, -1, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 150 - 73. Let v = 3 + x. Suppose -4*r = -9*r + v. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 36 and (-2)\/16 + (-11849)\/(-328).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 27 and 330.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 532135 (base 7) to base 9.\nAnswer: 150171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -6*u + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**2 + 9*z + 3. Let r(f) = -f**2 + 9*f + 3. Let s(n) = -4*a(n) + 5*r(n). Let c be s(9). Sort -5, -1, c in ascending order.\nAnswer: -5, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 + 1)*(193 + 33 + 505)*(-8*c - 4*c**2 + 8*c) as y + t*c**2 + o*c and give t.\nAnswer: -2924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 357 = -39*i + 44*i - 34*s, 0 = -2*i + 16*s - 39*s + 22*s + 99 for i.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 19609894 > 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2463055 decades in millennia?\nAnswer: 0.002463055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 5*h - 280 = 0, 113 + 98 = 3*q + 4*h. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**3 - 15*i**2 + 14*i - 39. What is l(-16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-32)\/(-20))\/((-4)\/(-10)). Is ((-1)\/2)\/(l\/(-48)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14145 + 1473 = -512*x - 8672 + 738 for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9776.321 litres?\nAnswer: 9776321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -2*c**2 + 10*c - 13. Calculate l(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -743 (base 12) in base 15?\nAnswer: -4a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2 * -44996.09\nAnswer: 89992.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(3*(-19 + -1)). Let v(l) be the third derivative of 1\/2*l**3 + 0*l + 1\/6*l**4 + 0 - x*l**5 + l**2. Calculate v(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13.07386 + -0.07386. Sort x, 15\/8, -5 in decreasing order.\nAnswer: x, 15\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes after 11:42 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 + -4. Suppose 3*z = -i - 3. Suppose 4*u - 24*o - 9 = -23*o, 4*u = -2*o + 18. Sort z, u, 5.\nAnswer: z, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:57 PM and 1:08 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 31 - 21. Suppose 2*p = -2*c + p + 91, -2*p + m = 0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -2*m**2 - 116430*m + 116432 = 0?\nAnswer: -58216, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 12:35 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-9)\/(-6)*4\/3. Suppose -3*y = j*m - 39, 40 = 4*y - m - 12. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18064.\nAnswer: 2, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 27*q + 47. What are the prime factors of c(10)?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s - s - 2*s)*(3 - 2 + 0 + (1 + 0 + 0)*(2 + 3 - 4) + 0 - 3 + 2) + s + s - 3*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 31\/(-36) + 59\/531.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -3*t + 8*t + 5, 4*i + 22 = -t. Suppose 269*v + 88 = 313*v. Sort v, i, -1.\nAnswer: i, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2479672\/42493 - -34\/3863. Which is bigger: a or 58?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*u**2 + 9*u + 14*u**2 - 8*u**2 + 66*u.\nAnswer: -4*u**2 + 75*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15135817, -30271628, -45407439, -60543250?\nAnswer: -75679061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8 in -4, -3, 0, -50, 40?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6467604 - -1.2.\nAnswer: 6467605.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*b - 11*b + 4*g = -8, 5*g = -5*b - 40 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) -1  (c) 1.5  (d) -3\/2  (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -551 at most -560?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**3 + 8*p**2 + p + 11. Let n be i(-8). Let w be ((-2)\/6 - 20\/6) + n. Let m = -1395\/11 + 127. Which is the closest to 3\/5?  (a) m  (b) w  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 21947 and 75473151.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 15, 38, 81, 150, 251, 390, 573?\n\"Answer: l**3 + 4*l**2 + 4*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, a: 3, h: 1, t: 3, k: 2, j: 1}. What is prob of sequence aa?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -13*p**2 + 230*p + 83. Give v(18).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 2*f + 194 - 168 = 0, 2*f = -2 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -750*m - 3. Let g(q) be the first derivative of q**3\/3 - 14023. Give r(g(u)).\nAnswer: -750*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 132 by -13.\nAnswer: -132\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-3)*l)**(-36)*l**(-3\/8)\/l*l**4\/l assuming l is positive.\nAnswer: l**(589\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 33 and 286?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - 2*l - 4 = 0, 3*c = -2*c + 4*l + 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1521)\/(2 + 1) + -1. Let u = i + 1397. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 30115164 or 30115165?\nAnswer: 30115164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -2*n - 15, 3*n - 20 = -b. Suppose -b*d - 4*s + 2*s + 48 = 0, 4*d - 28 = s. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-l + 5*l - 3*l)*(l + 3*l - 3*l)*(2 - 3 + 3)*(2*l + 2*l - 5*l) in the form u*l**3 + g + c*l + t*l**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*x + x + m - 1317, -4*x + 5269 = 5*m. Suppose -3*k + 2*r - r = -x, 0 = 5*k - 4*r - 2205. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.6 - -0.9. Let w(l) = -l**3 + l**2 - l. Let z be w(2). Let y be (-14)\/z + -1 - 2. What is the second biggest value in y, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -7270, -7549, -7828, -8107?\n\"Answer: -279*l - 6991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (30\/3)\/(-5*(-6)\/15). Suppose 5*x - 24 = x + r*d, 0 = -5*x + 5*d + 30. Suppose 9*q - 15 = x*q. Solve 4 = -j + q*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 193*z + 0 + 0 - 385*z + 193*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 12834 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**2 + y + 1. Let j(b) = -4051*b**2 - 40*b - 57. Let f(q) = j(q) + 10*z(q). What is the second derivative of f(r) wrt r?\nAnswer: -8122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 336 and 7986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4.91 - 0.09. What is the nearest to 0.1 in 2\/3, k, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**3 + 14*t**2 - 10*t - 10. Suppose -10 = -2*c, -284*c + 282*c + 49 = 3*f. Determine i(f).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 73195104.\nAnswer: 2, 3, 101, 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (34*t + 17*t + 8*t)*(-7*t**4 + 5*t**4 + 7*t**4 + (-2*t**2 + t**2 - t**2)*(-t**2 - t + t)).\nAnswer: 413*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -255 - -253. Let m(v) = -50*v - 104. Let p be m(j). Let z(b) = -b**2 - 5*b - 9. Calculate z(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the second derivative of r**4\/12 - r. Let l(b) be the third derivative of 0*b**4 + 0 + 0*b + 0*b**3 - 6*b**2 + 2\/15*b**5. Give g(l(h)).\nAnswer: 64*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -47\/56 + 9\/8. Suppose 0 = -33*t + 4*t - 116. What is the closest to y in -0.3, t, 20?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*w**3 + 50*w**3 - 17*w**3.\nAnswer: 43*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 117 - 588\/5. Sort d, -2\/9, 0.5.\nAnswer: d, -2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16 - -16.7. Let y = 4.7 - s. Let j = -1.2 + 0.2. Which is the closest to j?  (a) 1\/2  (b) -2  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) -2\/15  (b) -1  (c) 173  (d) -1105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 170803704?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/2 - (-70)\/20. What is the closest to w in -3, -1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -j**2 + 5*j**2 - 9*j + 63*j + 19 - 2*j**2 + 0*j**2.\nAnswer: 2*j**2 + 54*j + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 210032, 420076, 630120, 840164, 1050208?\n\"Answer: 210044*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 2 = 4*d - 0, 0 = -3*i + d + 28. Let y(q) = 2*q - 1. What is the smallest common multiple of i and y(6)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 356 - 11?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000456837626 rounded to six decimal places?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m - 4*x + 22, -m + 2*m - 16 = -3*x. Let c be 1 - (2 - (3 - 0)). Suppose 0 = -0*s + c*s. Put m, -5, s in descending order.\nAnswer: m, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 5*g**2 - 9*g - 3. Let o be q(-6). Calculate the highest common divisor of 21 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 2*m + 55 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3367 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 11 + 1)*(4*r + 0*r + r + (1 - 2 + 3)*(r - 4*r + 5*r))*((1 - 2 + 0)*(-4 + 6 - 1) - 3 + 1 + 4).\nAnswer: 90*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 4 = 2*x. Solve b - 4*j + 2 = -j, 12 = b + x*j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1  (b) 1095863  (c) 2\/17  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 2\/7  (b) -0.238  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:35 PM and 12:55 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -2, -7, -8 in decreasing order.\nAnswer: -2, -3, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + -1704250?\nAnswer: -1704255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1957 - -2009. Suppose 80 = f + 3*f. Let t = f + m. Calculate the highest common factor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -1*(sqrt(1008) - 1*sqrt(1008)*-2))**2.\nAnswer: -360*sqrt(7) + 9097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 767*a. Let t(u) = -19*u**2 - 5*u. What is r(t(o))?\nAnswer: -14573*o**2 - 3835*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*i - 26*i + 26 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 8*m + 11. Let n(r) = 3*r. Determine n(l(j)).\nAnswer: 24*j + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2719607 decades to centuries.\nAnswer: 0.02719607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*s - 56*s = -n + 72, 5*s = -5*n - 65 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 911\/5, 0.3, 19\/6.\nAnswer: 0.3, 19\/6, 911\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/99 in -10, 0.743, -3?\nAnswer: 0.743","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 8 = 2*q, j - q = 6*j + 20. Sort 3, -17, j in decreasing order.\nAnswer: 3, j, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -337 bigger than 4708?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -375*j - 383*j + 678 + 760*j to the form f + t*j and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (414*c - 345*c - 263*c)*(-7*c**2 - 6*c**2 + 3*c**2)*(0*c + 4*c - 6*c).\nAnswer: -3880*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 65 - 64. Let j = 0.025 - 26.125. Let u = j + 26. What is the second smallest value in 4, w, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.3  (b) 91  (c) 8\/7  (d) -0.4  (e) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -53 - (28 + 3 + -42).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*o + 3*o + 2*o + (o - o - o)*(1 + 5 - 4) + 11 - o - 11 + (-25*o - o - 60*o)*(4 - 1 - 1) + o + 2*o - 5*o to the form z*o + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4556 + 39*t**2 + 4556.\nAnswer: 39*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 876 and 3942?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 n when two letters picked without replacement from jgnnnggj.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 8, 2\/11, 28, -1\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2*1\/((-28)\/26 + 1). Let q = s + 29. Suppose 0 = 2*j + 3*i - 0*i + 4, 3*i - 21 = q*j. Let v(b) = b**2 + 6*b + 7. Determine v(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1740101.95199918 + 1740102. Let d = 0.048 - h. What is d rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 + -7203137.\nAnswer: -7203123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2476 + -1201. Is w a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -88\/3 + 29. Let v = 65.2 + -65. What is the closest to 0.1 in 2, t, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 4*h - 10. Let s be (h + (-2 - -3))\/(0 + 1). Solve 0 = 3*n + s*u + 18, 5*n - 4*u + 0*u = 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38486373.5 - -9.\nAnswer: -38486364.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -2*t - 36. Let d(s) = -2*s - 48. Let v(o) = -3*d(o) + 4*p(o). Let n(x) = -63*x + 7. Give n(v(w)).\nAnswer: 126*w + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(-5))**(-33))**(-44) assuming p is positive.\nAnswer: p**8712","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7055 - -7055. Let y(q) be the third derivative of o + 0*q + 11\/6*q**3 - 1\/2*q**4 + 4*q**2. Differentiate y(a) with respect to a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 210 + -205 + -1 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 3*s - 3. Let y = -35 - -40. Let m(l) = 5*l - 5. What is y*m(f) - 8*w(f)?\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:37 AM and 8:06 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 434 by -1341.\nAnswer: -434\/1341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wjn when three letters picked without replacement from {j: 4, q: 7, w: 1, n: 8}?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r**2 - 39*r - 66 = 0. Calculate r.\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**3 + 16422254*w**2 + 33711278671670*w - 101133983815350.\nAnswer: 2*(w - 3)*(w + 4105565)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**2 + 9*l + 13. Let o be q(10). Let c = o - 0. Let h = c + -2. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 58520789 to the power of 1\/2, to the nearest integer?\nAnswer: 7650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -6 - 5*t**3 + t**3 - 6*t**2 + 6*t + t**3 + 4*t**3. Let f be s(5). Let g(m) = 7*m + 1. Calculate g(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = 8, 13*o = 10*o + 2*q + 842. Let v = o + -233. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -3*z**2. Let u(t) = t - 657. Give u(k(q)).\nAnswer: -3*q**2 - 657","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18395 - 40268 = 5333*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l - 45 = 11*l. What is the lowest common multiple of 18 and (6\/l)\/((-6)\/90)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-99)\/(-154)*1\/1)\/(2\/4)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4286452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -3*o - 2, o = 6*u - 3*u - 10. Suppose -o*t - 5*t + 14 = 0. Let c(y) = 1. Let s(d) = 2*d + 2. Let g = 31 - 32. What is g*s(b) + t*c(b)?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 5) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -34.46 + 1.86. Let g = z - -32. What is the second smallest value in -5, g, 3, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23850\/(-795) + (-299)\/(-10) + 0.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4107825.6 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventy-five halves of a litre?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.314 * 0.3.\nAnswer: 0.0942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -469 + 726. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44315314.\nAnswer: 2, 53, 418069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:27 PM and 9:03 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1352 (base 8) to base 5\nAnswer: -10441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**3 + 9*d**2 - 12*d - 4. Let v be u(-11). Let r = 337 + v. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -9*v + 30. Let n(u) = -2. Let z(k) = 18*n(k) + t(k). Let m be z(-1). Solve -m*s - 1 = -4, 0 = -4*o - 3*s + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 3*b + 50 + 6*b - 50. Let c(u) = u**2 + 2*u. Let y(o) = 4*o**2 + 7*o. Suppose -6 - 4 = -5*v. Let x(s) = v*y(s) - 7*c(s). Determine p(x(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from beebbb. Give prob of picking 2 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 563*z - 558*z = 4*g - 36, 3*g = -5*z - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + b - 24 = 0. Suppose -4*c + 2*c + b = 0. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 80.88223nm in micrometers?\nAnswer: 0.08088223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the second derivative of 1\/2*z**6 + 0 + 5\/42*z**7 + 3\/4*z**5 + 0*z**3 + 5\/12*z**4 + 0*z**2 + 11*z. Factor k(t).\nAnswer: 5*t**2*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 387, 5, 0, 411, -3.\nAnswer: -3, -2, 0, 5, 387, 411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -3\/47, -1355, 731?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes before 7:27 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 144 - -1365143?\nAnswer: 1365320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -44, 1196, 4490, 10840, 21248?\nAnswer: 36716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 46 and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-139)\/(((-110)\/253)\/10) and 1.\nAnswer: 3197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -323055 (base 8) in base 5?\nAnswer: -11424302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 8*a + 3. Is z(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 232948, 465893, 698838?\nAnswer: 931783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*n**4 - 2*n + 0*n**3 + 4*n - 5*n**3 to r*n**2 + c*n + q*n**4 + b*n**3 + a and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**2 - 12. Let a(z) = 31*z**3 - 2*z**2 + 9*z - 3. Let y be a(2). Let c = y + -255. Calculate t(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -15*g**2 - 69*g - 20. Let y be c(-4). Solve -36 = y*r - 7*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -140560*p + 70521*p + 70911*p in the form j + s*p and give s.\nAnswer: 872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61*l = 134*l + 13*l + 442832. Is l at most -2130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from {t: 1, d: 2, j: 1, g: 1, e: 1, a: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 178*u**2 + 35*u + 10. Let k(h) = h**2 - 7*h - 2. Let d(g) = 10*k(g) + 2*z(g). Let f(v) = 3*v. Determine d(f(t)).\nAnswer: 3294*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What is -0.006704 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**2 + 12*y + 22. Let d be c(-10). Let p(z) = 29*z - 43. Let f be p(d). What is the biggest value in -0.4, -0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -476 = -5*q - f + 478, 396 = 2*q + 4*f. Calculate the remainder when 583 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a\/(((a*a**(1\/29)*a)\/a)\/a)*a**(-1\/2)\/a)**(-48))**(-25) assuming a is positive.\nAnswer: a**(16200\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 12:32 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -15*(-1 - (-2)\/3). Let i = 5 - v. Suppose 2*l - 238 = -i*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-40)\/(-12)*((-12)\/(-14))\/(60\/84). Which is the third smallest value?  (a) -4  (b) -2  (c) -9  (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1856, -3007, -4196, -5441, -6760?\nAnswer: -8171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -254 times 37577\nAnswer: -9544558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -44488 < -44489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*c - 518 + 194 = -1956. Is 18 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 19545984 and 2700432?\nAnswer: 410465664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 68244.56164 - 27\nAnswer: 68217.56164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4601?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that 2*n**5\/13 - 53658*n**4\/13 - 429356*n**3\/13 - 966132*n**2\/13 - 54*n\/13 + 1449198\/13 = 0.\nAnswer: -3, 1, 26837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 23491, 1\/4, -3?\nAnswer: 23491","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1437 = -46*q + 5164 + 4737. Which is bigger: 1296\/7 or q?\nAnswer: 1296\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*m = -63*m - 300 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36 divided by -1.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes after 3:06 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -631, -1209, -1787, -2365, -2943, -3521?\nAnswer: -4099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = -b + 2578, 5*b - 3*w - 229 = 12776. Suppose 0 = 3*o + 4*x - b + 651, -o + x = -642. Suppose 8*k = 3*k + o. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 659d - 0?\nAnswer: 659d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a + 6*a - 135. Let w be (9\/a)\/((-1)\/(-6)). Solve -w*t - 11 = l, -2*l - 2*t = -0*t + 16 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 151 is divided by 55?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*x - 4*x = -224 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 + 0)*(-10183*w**3 - 3716*w**3 - 12963*w**3 + 4615*w**3).\nAnswer: 22247*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13970.\nAnswer: 2, 5, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 234*m**2 + 34*m + 7. List the prime factors of p(-3).\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33165 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b + 3*a - 79 + 9, 4*b - 64 = -4*a. Solve -2*s - 3 = -b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/s**(-3))\/s)\/(s*(s\/(s**(2\/7)\/s))\/s*s) assuming s is positive.\nAnswer: s**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 804*f**2 + 781*f**5 - 803 + 803 wrt f?\nAnswer: 46860*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -7, -3, -0.2, -82, 55, -2.4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from oqqpoopqqoqp.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aauuuba. What is prob of picking 1 b and 2 a?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o - 7. Let v be (2 + 1)\/(6\/16). Let k be z(v). Suppose -2*s = -0*s + 4*f - 28, -f = -s - k. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 14 + 3 - (-4)\/(-3). Let f = -244\/15 + q. Let p = -0.4 - -0.2. What is the nearest to p in 3, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*v - 28267 = 29369. Let i = 102561\/16 + v. Find the common denominator of 167\/30 and i.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(832) - (sqrt(832)*-5 + 5) - sqrt(832))**2.\nAnswer: -400*sqrt(13) + 20825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 - -18. Suppose -4 = -0*b - b. Suppose -5*i + 2 = -3*k - 1, 5*i - 5*k + 5 = 0. Solve -w*a = -b*a + 5*z + 1, -12 = 3*a - i*z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2. Let k(j) = -12*j**2. Let v = 40 + -67. Let c(n) be the second derivative of -7*n**4 - 30*n. Let x(d) = v*k(d) + 4*c(d). Calculate o(x(q)).\nAnswer: -144*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 251769 divided by -49\nAnswer: -35967\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 41 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 477 - -49. List the prime factors of c.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 60 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 5, k: 9}. What is prob of picking 2 k and 2 p?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/((z\/z**(-2\/3))\/z))**(-32)*(z*(z\/(z*z**1\/z))\/z)\/z**(2\/17) assuming z is positive.\nAnswer: z**(-550\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-15)\/(-30)*(1 - -2). Let h(m) be the first derivative of 0*m**5 + 0*m + 0*m**3 + 0*m**4 + m**6 - f*m**2 + 6. Find the second derivative of h(q) wrt q.\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -18*x. Let c(w) = 22*w. What is c(u(a))?\nAnswer: -396*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-24)\/(-18) + (-124)\/(-6). Suppose -18 = -8*p + g. Find the second derivative of 19*u + 18*u - 48*u - 3*u**p wrt u.\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gbl when three letters picked without replacement from mlbmllllgbbwbml.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-26)\/39 + 16\/6. Solve 2*p + f = 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*q**3 - 9*q**3 + 4*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.94 - -0.06. Which is bigger: 25 or f?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 711*f**4 - 128*f**3 - 2*f**2 - 126*f + 9612.\nAnswer: 8532*f**2 - 768*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-12)\/66 + 4519\/(-11). Suppose 0 = -4*a - 1017 - 631. Is a at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -8*v**3 + 82*v**2 + 6*v + 40. Let k be r(38). Round k to the nearest ten thousand.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 187514.\nAnswer: 2, 29, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 54 and 64794?\nAnswer: 583146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a - 6 = -2*a. Find the common denominator of a\/(-5) + 3045\/(-3975) and -51\/7.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3034928.3 from -4722.\nAnswer: 3030206.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, -45, -5, -16\/5?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2956867519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -6*m**2 + 10*m - 10. Let l(d) = -2*d**2 + 3*d - 3. Let a(o) = -10*l(o) + 3*u(o). Let t(r) = 4*r**2. Calculate t(a(v)).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**3\/6 + 4*l**2\/3.\nAnswer: -l**2*(l - 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 24159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from wwwwkwkwwwkwkwwwwww.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*v**2 + 6*v**2 - 6*v**2)*(8 - 4 + 3)*(-2 - 2*v + 2) in the form p + b*v**3 + d*v + l*v**2 and give b.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8.68 + -9. Let c = p + 18.32. Let m = 116443 - 116440. What is the biggest value in m, 5, 0.5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 4, t: 3, l: 4, c: 5}. Give prob of picking 1 c and 1 t.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 52 = 10*d - 5*d, d = -5*f + 65. Solve -3 = -f*i + 10*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 183 + 7. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 7) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**2 + 5*r + 2. Let v = 7 - 2. Let n be b(v). Solve -4*d - 3*m - 35 = 0, n*d + 2*m = m - 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes after 1:25 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((2*(sqrt(77) - 1*sqrt(77)))\/sqrt(7) + ((sqrt(33) + sqrt(33) + 2*sqrt(4752))\/sqrt(3))**2).\nAnswer: -22308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-56)\/12)\/((-6)\/18). What is the second derivative of 2 - 2*t + q*t - t**2 + 9*t - 27*t**2 wrt t?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the first derivative of -d**2 - 4*d + 24. Let a(l) = -l**2 - 9*l - 14. Let v be a(-8). Give s(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 6 + 1171951*j - 1171594*j to the form g*j + b and give g.\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 36 = -0*f + 3*g, 0 = -4*f - 5*g + 36. Let m(d) = -d**3 + 3*d**2 + 3*d - 4. Let x be m(3). Suppose -f*o + x*o + 12 = 0. Is 5\/2 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0\/(-6))\/(-5) + (-12)\/(-4). Differentiate 6*x**2 + 251 + 11*x**2 + 5*x**2 + i*x**2 - x**2 with respect to x.\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -7*o + 20. Suppose 5*f + w - 22 = 0, -6 = -4*f + o*f - 5*w. Find the second derivative of 0*m**4 - 10*m**f - 22*m + 8*m**4 wrt m.\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-1\/9)*o*o\/o**(-8)*o)\/(((o\/(o\/(o**9\/o*o*o))*o)\/o)\/o*(o\/(o**(-5)*o*o))\/o*o*o) assuming o is positive.\nAnswer: o**(-19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 + 27. Let x be (-2 - 24\/(-4)) + -2. Suppose -54 = -x*g - 16*g. What is the lowest common multiple of g and a?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the second derivative of 200*m**7\/21 + 1819*m**4\/6 - 14*m - 21. What is the third derivative of i(h) wrt h?\nAnswer: 24000*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9 + -25. Find the common denominator of 49\/22 and (2\/i)\/((-1)\/25).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1486363992?\nAnswer: 2, 3, 17, 214297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6606 divided by 161?\nAnswer: 6606\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 3 and -11708900915?\nAnswer: 11708900918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -4\/13, -8, -5\/3, 7?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 35\/(-14)*(-36)\/5. Suppose -a*p = -7*p - 33. Solve p*v - 8 + 31 = 4*z, v - 5 = -5*z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f\/(f*f\/(f*f\/f**1)))\/f)**(-1\/50)\/(f**(-1\/2)*f*f**0))\/(((f**1\/f)\/f**(-2\/21))\/(f**(-1\/2)\/(f\/f**2*f))) assuming f is positive.\nAnswer: f**(-1129\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x = 9*x + 4*d - 460, -4*d + 20 = 0. Calculate the greatest common factor of 88 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**2\/2 - 18186*x + 399971\/2.\nAnswer: (x - 36361)*(x - 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z*z**24)**(1\/57)\/(z\/z**(2\/9))**(1\/24) assuming z is positive.\nAnswer: z**(1739\/4104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*v**2 + 14*v + 4 - 7\/2*v**3 - 5\/2*v**4 = 0. Calculate v.\nAnswer: -2, -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -76 divided by 1000.\nAnswer: -19\/250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z + z + 0*z + (-z + 4*z - 4*z)*(-3 + 2 + 0) + (-4 - 5 + 2)*(-2*z + 3*z - 3*z))*(-58 + 56 + 298*z - 57*z).\nAnswer: 4097*z**2 - 34*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 22 * 115219\nAnswer: 2534818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**3 - 8*t**2 + 9*t - 14. Give k(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (8\/(-24))\/(1\/(-6)). Let w be (1 - a)\/(4\/(-20)). Suppose 4*f - 28 = -w*g - 0*f, -4*g + 17 = 5*f. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -10*b - 2. Let j be (-2 - 1 - -3) + -7. Is i(j) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-4)\/5)\/((-33)\/((-1980)\/168)). Suppose 4*r = c + 44, -5*c = -0*c - 4*r + 268. What is the second smallest value in w, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n + 18*n - 1976. What is the second derivative of -n*s**3 - 41*s - 34*s + 154*s**3 - 2*s**5 wrt s?\nAnswer: -40*s**3 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 34*r + 9. Let t be o(7). Suppose t = 5*i + 62. Does 23 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:28 AM and 11:06 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 + b)*(0 + 2 - 1) - 125 - 120 + 247 + 80*b to the form f*b + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from qqocoqhocqoho?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -548060 divided by 8180?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -104873625 divided by -3285.\nAnswer: 31925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*t - 28*t + 85*t.\nAnswer: 78*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + 1)*(24*r**4 - 15*r**4 + 14*r**4) + (-1 - 2*r + 1)*(2*r**2 + r**3 - 2*r**2) + 0*r**4 - 3*r**4 + 2*r**4.\nAnswer: 20*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 0\/(-2) - 132\/60 and 73\/282.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the first derivative of -22*h**3\/3 + 536. Let z(a) = 7*a**2. Calculate z(u(n)).\nAnswer: 3388*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 25*w - 1 + 32*w - 60*w in the form t*w + h and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13 + 1 + 29*d**2 - 14.\nAnswer: 29*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -6*q**2 + 11*q - 12. Give s(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 15428 and 56?\nAnswer: 30856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 + -7. Suppose t*k - k = -3. Let g(d) = -d + 4. Let v be g(k). Let b(y) = 5*y**3 - y**2. Determine b(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 277527 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 420\/238 - 2\/1 - 0. Let z(c) = c**3 - c**2. Let n be z(0). Which is smaller: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 626411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 83573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -286.57, -2, -0.025?\nAnswer: -286.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(2\/13)*u*u**4)\/((u\/u**16)\/u**(-5)) assuming u is positive.\nAnswer: u**(197\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/2168684 and 49\/400.\nAnswer: 216868400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -26965, -54131, -81499, -109063, -136817, -164755, -192871?\n\"Answer: a**3 - 107*a**2 - 26852*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -662775682*r**3 + 302044452*r?\nAnswer: -3976654092*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 4*t**2 + 10*t + 11. What is the remainder when 242 is divided by y(-5)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 7 + -3424c8?\nAnswer: -3424c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79*k - 1177 - 1613 + 151 = -32 for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 + 1)*(-g - g + 3*g)*((-2*g + 5 - 5)*(-2*g + 0*g + 3*g) + 15*g - 7*g**2 - 15*g) in the form z*g + y*g**3 + l*g**2 + p and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 149\/29153508 and 38\/11.\nAnswer: 320688588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3553 + -49831\/14. Find the common denominator of k and 19\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0\/(-2))\/(-3 - 0). Suppose p = -2*r + 3*d - 8*d + 49, -2*r + 4 = -4*d. Let k = -7 + r. Solve -2*a = -y - 10, a - 2*y = -5*y + k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -38  (b) 3907  (c) -73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 419991 is divided by 1647.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -33 (base 5) to base 11.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14 - -24. Suppose -4*g = 2*c - 0*g - 16, -5*g - p = -5*c. Solve c = 3*j - 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15452 * -15277\nAnswer: 236060204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2106, -4572, -8682, -14436, -21834, -30876?\nAnswer: -41562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - -1001010110000110101100?\nAnswer: 1001010110000110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 25, 63, 101, 139?\n\"Answer: 38*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13847 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - r - 6)*(25*r - 5*r - 8*r).\nAnswer: -12*r**2 - 24*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.8  (b) 4  (c) -2  (d) 5  (e) 2\/83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 265*k = 21581 - 8331 for k.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 85539445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 0 + 0)*(-245 + 245 - 34*s)*(-4 - 3 + 3).\nAnswer: 680*s","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 352113191?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-7 - (-2 + -3)) + (8 - -10)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 4*o**2 + 17*o - 1. Let j(w) = -2*w**2 - 8*w. What is -2*d(s) - 5*j(s)?\nAnswer: 2*s**2 + 6*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2136 and 12.\nAnswer: 2136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -364, -227, -104, -1, 76, 121, 128?\n\"Answer: -o**3 - o**2 + 147*o - 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*v**4 - 504*v**3 - 150*v**2 + 12541335*v wrt v?\nAnswer: 48*v**2 - 3024*v - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 118.50551 + 0.21.\nAnswer: 118.71551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24*(-20)\/(-640))\/((-2)\/88)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12704813 is divided by 411?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + -4 + 8 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the second derivative of -13\/30*h**6 + 16*h + 0*h**5 + 0 + 0*h**3 + 1\/12*h**4 + 0*h**2. Find the third derivative of s(f) wrt f.\nAnswer: -312*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -5*(sqrt(320) + -1) + -2)**2.\nAnswer: 160*sqrt(5) + 8004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -356 - -355.8. Let v = 21 - 19.7. Let w = v + 0.7. What is the third smallest value in -3\/11, w, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12 - -6. What is the remainder when 33 is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 143, 0, -3 in decreasing order.\nAnswer: 143, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*j - 14 = -2*z - 10*j, 12 = 3*z - 3*j. Suppose 4*i - v + 5 = -2*v, -2*i - 5*v = -11. Which is the closest to i?  (a) 0.21  (b) z  (c) 0.1  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 419*u**2. Let k(s) = -20156*s**2. Determine k(z(w)).\nAnswer: -3538607516*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -23473.4 + 20689. Round s to the nearest ten.\nAnswer: -2780","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 156*b - 522*b + 8568 = 42*b for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 (base 8) in base 2?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 177390.\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 768, 1508, 2254, 3006, 3764?\n\"Answer: 3*d**2 + 731*d + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -209, 1\/7, -0.5 in ascending order.\nAnswer: -209, -0.5, 1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 924 = 4*y - 352. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -172*f + 5703 + 5935 = 1318 for f.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 58839902 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 58 + -172\/3. Let f = 11.2 - 11. What is the closest to 0.1 in f, w, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -772.78 times -149\nAnswer: 115144.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20 + -7 - 7 - 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35 (base 12) to base 2.\nAnswer: -101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 28 - 3 = 0. Suppose -f + y = -y - 6, 0 = 2*f + 3*y - j. Solve -4*t + 9 = 3*r - 7, -t + 5*r = -f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 93*p - 28*p - 51*p + 1036 = 0 for p.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and -7.4.\nAnswer: -29.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 200, 250, 296, 338, 376?\n\"Answer: -2*r**2 + 56*r + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -12*q**2 + 96*q - 163. Calculate y(13).\nAnswer: -943","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 601878 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5 + 1*(-4)\/2. Suppose -u*b - b = 0. Suppose 0*z - 3*z + 159 = b. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -24*v**2 - 569*v - 829. Give z(-22).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -2*s**2 - 6*s - 9. Let t(p) be the third derivative of -p**5\/30 - p**4\/4 - 4*p**3\/3 + 2*p**2 + 201. Calculate -5*b(q) + 6*t(q).\nAnswer: -2*q**2 - 6*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes after 12:34 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -325, -774, -1257, -1768, -2301, -2850, -3409?\nAnswer: -3972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 34868940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -8895 less than -814004.461?\nAnswer: -805109.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -1*(sqrt(405) + (-2*sqrt(405) - sqrt(405))))**2.\nAnswer: -36*sqrt(5) + 1621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 + 0. Let j = 6 - r. Which is the third biggest value?  (a) 3\/8  (b) 5  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**3 + 17*b**2 - 2*b + 6. Let o be x(17). Let r = 30 + o. Solve -4*s - 22 = r*h, -s = 3*h + 3 + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 4*c - 5*i, -4*c + 0*i + 35 = 3*i. Calculate the remainder when 114 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 83*o + 467. Give x(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that 3*d**2\/5 + 6980586*d\/5 + 34902555 = 0.\nAnswer: -2326837, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 7*u = 2*u, 0 = -5*r + 3*u + 31. Solve -k - 4*l + 2 = -13, -k - 12 = -r*l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -3*g**2. Let l(q) = 125*q + 1. Give s(l(v)).\nAnswer: -46875*v**2 - 750*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-15)\/(25\/(-5))*4\/6. What is the greatest common factor of y and 87?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence maam when four letters picked without replacement from {a: 4, u: 2, d: 1, j: 7, m: 3, f: 1}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(1\/4) + (-4 - -11). Suppose -i = 2*r - 12, r - l*r + 4 = 3*i. Solve 0 = -5*w - 5*n, -n = -w - 6*n + r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -51.7587404 rounded to two decimal places?\nAnswer: -51.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 74 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - g = -18. Let i = g - -7. Let o = 35 + i. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the third derivative of x**9\/7560 - x**5\/60 + x**4\/24 + x**2. Let f(q) be the second derivative of l(q). What is the first derivative of f(i) wrt i?\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -138.\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vyyyvv. What is prob of sequence vyvy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2250*t**5\/19 - 23700*t**4\/19 + 56110*t**3\/19 + 29748*t**2\/19 + 248*t + 240\/19 = 0.\nAnswer: -1\/5, -2\/15, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13291*a - 13449*a = 316 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2681186 divided by -8458?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1820 + -1820. What is the second smallest value in -0.2, 3, 2\/7, -5, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10\/129 + 487\/1290. Which is the second smallest value?  (a) -2\/5  (b) 0.2  (c) l  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -2*f**4\/9 - 38*f**3\/3 - 68*f**2 + 64*f\/9 + 1088\/3 = 0.\nAnswer: -51, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 301414 - 171759. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 - 8449482.\nAnswer: -8449481.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-14) + (74\/(-14) - -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -2*d**2 - 2*d - 1. Suppose 2*o - 4 = 4. Let i be (-6)\/o*(-32)\/(-24). Let s be r(i). Let b(z) = z - 2. Give b(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, i: 5, l: 5}. What is prob of picking 3 l?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1035 and 39537?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m - 2*t = 4*m + 318, m = -t + 151. What is the remainder when m is divided by 7\/(42\/(-4))*-60?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 98*d**3 - 60*d. Let u(x) = 392*x**3 - 237*x. Calculate -15*c(j) + 4*u(j).\nAnswer: 98*j**3 - 48*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + s = -26. Suppose 3 = -3*x + z, 0*x - 5*z = 2*x + 19. Let i(b) = 2*b**2 + 2*b - 1. Let n be i(x). Solve s = -4*w - n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5704 and 1472?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 51995722?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 23*t + 37. Let r(h) = 61*h + 99. Let z(i) = 8*g(i) - 3*r(i). Let o(a) = 2*a - 38. What is -o(l) + 4*z(l)?\nAnswer: 2*l + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 21100*h**5 + 2*h**3 + 3651*h**2 - 5*h.\nAnswer: 1266000*h**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 - 313?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -584217*s**2 - 14*s + 105349461?\nAnswer: -1168434*s - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/(-20) - 5\/(2 - -3)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 166 a factor of 119073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = b, -6 = -4*w + 5*b + 1. Suppose 0 = -5*y, 0 = 2*p - 0*y + 3*y + w. List the prime factors of -17*(-2)\/p*-2.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 + 32 + -17 + 1 + 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4512\/9)\/(12\/(-450)). Round d to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 38 - 60. Let z = -14 - w. Let x(k) = -k**3 + 9*k**2 - 7*k - 8. Let l be x(z). Solve -4*u + q = 15, -15 = -l*q - 5*q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -12836\/1485 greater than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4717 = 522*o + 19. Solve o*c = 5*c + 28 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -202 + -6?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 p, and 1 s when three letters picked without replacement from psyefpyysyyp?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2636759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -20*o**2 + 4*o + 6. Let d(x) = -19*x**2 + 4*x + 6. Suppose 16*i - 4*i = 72. Let k(h) = i*d(h) - 5*f(h). What is the first derivative of k(n) wrt n?\nAnswer: -28*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:18 AM and 9:24 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 51773723 - 31.4\nAnswer: 51773691.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 3, y: 3, h: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uiix when four letters picked without replacement from niiuiixx.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-104)\/(-208))\/(2\/4*2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 457 + -205. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -1 - 2 + 1 + j. Let x be y(3). Let b(l) = -90*l + 186. Let i be b(2). What is the highest common factor of x and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -25 - -149\/6. Is g bigger than 0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -428 at least -517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0 - (-3)\/(-2)*1. Which is bigger: n or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 - 2332?\nAnswer: -2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r - 1. Let x be i(-5). Suppose 0 = -c + 4*y - 14, x*c - 8*c + 3*y + 9 = 0. Let j = -4 + 10. What is the smallest common multiple of c and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 8 = n, 5 + 11 = 5*n - 3*q. Let o be 2 + (n - -41 - 1). Suppose -26 = -2*m - 4. What is the highest common factor of m and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0*z + z - 2*z)*(-1 - 1 + 0) + 0*z + z - 2*z)*(-3 - 2 - 1) to the form v*z + h and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1552, 2 in decreasing order.\nAnswer: 2, 1, -1552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -4*w - 27. Let k(i) = 3*i + 26. Calculate 5*k(h) + 4*z(h).\nAnswer: -h + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*g**2 - g**3 - 6 + g**4 - 7*g**2 + 0*g**3 - 11*g - 1 + 24*g to k + l*g**2 + u*g**3 + b*g**4 + m*g and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-2)\/(c\/((c\/(c**(-1\/4)\/c))\/c))*c*c\/(c**(3\/7)\/c)*c*c*c**1*c assuming c is positive.\nAnswer: c**(135\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 943*b - 950*b - 1889300 = 0. Round b to the nearest ten thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(-6)*2\/8\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 19156 and 19156.\nAnswer: 19156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 - 3 + 2)*(-i + 0 + 0) - 14*i - i + 55*i)*(0 - 2 + 3) + i + 4*i - 3*i.\nAnswer: 44*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 612\/85*5\/2. Let i = 26 - n. Let s be (-5)\/(-1) + 0 + -1. Solve 5*k - 3*z + i*z + 15 = 0, -24 = 5*k - s*z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes before 3:55 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5722*k + 11438*k + 3*k**3 - 2*k**3 - 5716*k + k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**3 - 13*q**2 + 13*q - 5. Let v be x(-14). What is the highest common divisor of 81 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 b when two letters picked without replacement from gvybbvbbvybbvhbbgv.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f\/f**(1\/6)*f**(-5)\/f)\/(f**(-5)*f*f**(2\/5))*(f\/(f**1*f))**(-1\/63)\/(f*f**(1\/7)*f*f*f**(-7)) assuming f is positive.\nAnswer: f**(2083\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the first derivative of -2*o**3\/3 + 9*o**2\/2 + 94420. Let r(d) = -d**2 + 0*d**2 + 2*d**2. What is r(j(x))?\nAnswer: 4*x**4 - 36*x**3 + 81*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -77568*b**3 - 78888*b**3 + 156455*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8521 - 8528 - 4*a**2 + 17050 + 1155*a**3)*(2*a + 2*a - 2*a) to the form i*a**2 + d*a**3 + s*a + h*a**4 + j and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-2\/17)*w)\/(w\/(w\/w**(-6)*w)))\/((((w*w**2)\/w)\/w*w)\/(w**(-1\/12)*w)) assuming w is positive.\nAnswer: w**(1387\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -2*i**2 - 129*i - 2003. Calculate q(-11).\nAnswer: -826","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 5362259 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4980 or -4981?\nAnswer: -4981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/78 and -43\/54.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 2789 = 4*r, 2*v - 3*r = 3*v + 947. Let z be v\/(-350)*-4 - 2\/(-5). Is -9 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-4) - 5922\/(-13160))*((-1710)\/21)\/(-2)?\nAnswer: 57\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the first derivative of 11 + 6517*d**3 - 6515*d**3 + 7. Let f(u) = -14*u**2. Give g(f(l)).\nAnswer: 1176*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -6*u**2 + 6*u + 1. Let r(v) = -v - 1. Let c(y) = -k(y) - 6*r(y). What is the first derivative of c(b) wrt b?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -43*w. Let u(g) = 2*g - 18893. Determine u(n(s)).\nAnswer: -86*s - 18893","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the second derivative of t**5\/20 - t**4\/4 + 5*t. Let x be z(3). Suppose x = -j + 1 + 17. Calculate the highest common divisor of 72 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 3*w**2 - w + 2. Let o be r(1). Solve b - o*g = 16, -3*b = -g + 9 - 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -23446 - -27835. What is the greatest common divisor of 114 and j?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1051060?\nAnswer: 2, 5, 52553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 119*i**2 + 8*i + 8. Suppose 1 = 5*s - 6*s. Is r(s) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d, 1 c, and 1 y when four letters picked without replacement from ccydccdd?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pbppbppppbpppppppppp. What is prob of picking 2 p and 1 b?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 12168049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/6*(-162)\/(-675)*-5*702\/24.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 + 256482399\nAnswer: 256482399.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.4  (b) 0  (c) -411  (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*p + 4*o + 34, 4*p + 72*o - 48 = 70*o for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -39, -98, -175, -252, -311, -334, -303?\n\"Answer: 3*s**3 - 27*s**2 + s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 55*i**3 + 263091*i**2 - 258193348 wrt i.\nAnswer: 165*i**2 + 526182*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/1080000 and 61\/2592000.\nAnswer: 12960000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange i**4 - i - 394*i**2 + 790*i**2 + 4 - 2*i**3 - 5 - 398*i**2 to the form g + w*i**2 + y*i**4 + x*i**3 + a*i and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*x**3 - 450*x**2 + 14168*x = 0. Calculate x.\nAnswer: -253, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + x - 311 = -6*c, -2*x + 520 = 5*c. Suppose 8*g - 9*g = -c. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105*n - 151*n + 1536 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes after 11:11 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = 3*g + g - 2378, -4*g - 968 = -2*k. Let j = k + -309. What is j rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**3 + 3*h**2 + 39*h - 5. Let r(w) = -w**3 + 4*w**2 + 40*w - 7. Let v(b) = -3*r(b) + 4*x(b). Differentiate v(n) with respect to n.\nAnswer: -3*n**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 192\/608*(9\/(-18))\/(21\/2)?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/14299824 and -65\/88?\nAnswer: 14299824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 231812 - 3852947250\/16621. Are q and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 - -60. Suppose -16*m + 199 = -361. Let r be (1 + m)*i\/21. What is the greatest common factor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8622525.\nAnswer: 3, 5, 114967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 916 and 875980.\nAnswer: 200599420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + 2. Suppose -3*o + 0*o + 2 = -w*r, 4*r - 12 = 2*o. Suppose b + 3 - r = 0. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -21 - -20. Calculate the lowest common multiple of (-7 + 3)*4\/d and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 120 (base 3) to base 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 441692759.\nAnswer: 17, 23, 661, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 1012615776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2470*l + 47528 = 2*w + 812*l - 40336, l - 96 = -2*w + 3*l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 272?  (a) -2  (b) -2\/3  (c) -376  (d) -6\/7  (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 75520 and 5664.\nAnswer: 226560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11959632 and 7406.\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g + 5. Let z(x) = 6*x**2 - x + 2. Let l be z(1). Let m be h(l). Let b = 11 - m. What is the highest common factor of b and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*v - 33 = a, 0 = -4*v - 4*a - 159138 + 159318 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 - 1)*(2*o**4 + 0*o**2 + 0*o**2) + 6 - 10*o**4 + 17*o**4 - 6*o**4 to the form c*o**2 + f*o**4 + z + y*o + r*o**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 15106 or 324?\nAnswer: 15106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes before 8:40 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 95244 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 11034868709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -515003596 by -128750899.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 51053819617 minus 1444?\nAnswer: 51053818173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**(2\/11))\/(b\/(((b\/((b*b\/b**(-2\/5))\/b*b))\/b)\/b))*(b\/b**(-4\/5))\/b**6 assuming b is positive.\nAnswer: b**(-428\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes before 3:13 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*b**2\/6 + 25*b\/2 - 40\/3.\nAnswer: 5*(b - 1)*(b + 16)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve a**5\/5 + 27*a**4\/5 - 22*a**3\/5 - 114*a**2 + 693*a\/5 + 243 = 0.\nAnswer: -27, -5, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 18403013.39 rounded to the nearest 100000?\nAnswer: 18400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 552913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6.35 - -4.36. Let x = d + 1.9. Round x to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:42 AM and 3:24 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 4*d - 10. Let c = -135 - -136. Solve -d*y = 5*u + 30, c = -2*y + y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b - 1. Let r be z(-2). Let x be (-1)\/(7\/r + 2). Let a = x + -2. Solve 3*y = a + 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 + 8*h**2 + 2*h - 12. Let u be v(8). Suppose u*x - 1335 = 3*n, -5*n - 197 = -x + 141. List the prime factors of x.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 3:21 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 2*y + 10 = 0, 4*y - 1 = -3*u - 9. Let i = 4 + u. Let n = 1056 + -1054. Solve n*r - r = i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 161153701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 2*v - 5. Let a be w(4). Suppose -a*m + 45 = -4*m. Let p = 49 + m. Solve -5*f + 4*c - 4 = 0, 2*c + p = -3*f + 4*c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 0*d + 96 = -4*l, -2*d = -5*l - 60. Suppose -34 = -3*a + d. Calculate the remainder when 35 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the third derivative of 0*g + 0 + 0*g**3 - g**2 - 1\/12*g**4. Let z(w) = 9*w**2. Determine z(l(m)).\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 + 6*l**2 + 5*l + 3. Let q be k(-5). Suppose q*c + 2*c = 30. Calculate the greatest common factor of c and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1000\/80*1\/(-25)*20.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*i = 12*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 6*w**2 - 3 + 7*w + 2 + 6 + w**3. Suppose -2*h + 5*d - 28 = 0, -h + 0*h + 2*d - 12 = 0. What is the units digit of a(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 4*z**2 - 8*z + 68. Is a(7) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 5*a + 14 = -4*i, a - 14 = 2*i. Let b = 1 - i. Solve -4*x + 3*s = -11, 4*x = s + b + 8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 21*m**3 - 1. Let d be g(1). Suppose 6*v = 2*v - d. Let i = -6 - v. Which is the nearest to 1?  (a) -0.2  (b) i  (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 192 and 288.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 0*t**2 - t**2 + 4 - 6*t**2 + 0*t**2 wrt t.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**3 + 3016*o**2 + 70656*o + 420480.\nAnswer: 4*(o + 12)**2*(o + 730)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes before 10:54 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -19*c - 16*c + 6236483 + 29*c. Let t be d(0). Let y = t + -3836483. Round y to the nearest one hundred thousand.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 219705601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/n**(-2\/11)))\/(n**(-7)*n)*n\/(n\/(n\/(n*n**0)))*n*n*n**(-2\/5))**25 assuming n is positive.\nAnswer: n**(2040\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 556*s - 1. Let d(t) = 40*t + 1. Determine -2*d(v) - l(v).\nAnswer: -636*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 83 + -81. Suppose 3*g - i - 1 = 5, -5*g + 9 = -z*i. Let h(f) = 410*f**2 - 3*f + 19. Let a be h(g). Round a to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70)*-1*5 - -3*(sqrt(70) + sqrt(70)*1))\/((sqrt(490) + (-4*sqrt(490) - sqrt(490)))*-3).\nAnswer: sqrt(7)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (205\/60)\/(3\/(-9))*(2 + 420\/(-42))\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 9) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2304583 to the nearest integer?\nAnswer: 1518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16769456, -16769449, -16769438, -16769423?\nAnswer: -16769404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 14114, 14101, 14074, 14027, 13954?\n\"Answer: -p**3 - p**2 - 3*p + 14119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 29*k**2 - 13. Suppose -3*i + 5*g = 42, -2*g - 2*g + 12 = 0. Let m(a) = 14*a**2 - 7. Let o(b) = i*m(b) + 4*l(b). What is the derivative of o(q) wrt q?\nAnswer: -20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 + 3 = 7*s + 5*p, p - 5*p = 4*s - 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 53039113 rounded to the nearest ten thousand?\nAnswer: 53040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 3*l + 32 = -133, -2*l = -5*r + 140. Suppose -6 + r = 3*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -4798, -4808, -4824, -4846, -4874, -4908?\n\"Answer: -3*v**2 - v - 4794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 18 and 33928551?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1000 divided by 250\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (5 - 1) + 3\/3. Suppose -h*k - k + 54 = 0. Calculate the remainder when 44 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2309*z**3 + 5372.\nAnswer: 6927*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*f + 53*f - 8 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 398281 or 398284?\nAnswer: 398281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 9 + 3 = 5*m, 5*m + 5*x + 15 = 0. Suppose -p + 3*d = -5, -6*p - d + 25 = -p. Let s = p - m. Solve -s*a = -0 + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.084659589244 and -5.\nAnswer: -5.084659589244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15 + -21. Let i = 10 + z. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**3 - 4*q**2 + 3*q + 2. Suppose -2*d = d + 2*b - 5, -4 = 2*d + 5*b. Suppose -177*o = -179*o + 8. Calculate the least common multiple of o and g(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 156320\/3 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 8919779 + 1?\nAnswer: 891977a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f**3 + 0*f**2 + 0*f**2 + f**3 - 2*f**3 + 0*f**3 + (-3*f - f + 6*f)*(-2*f**2 + 0*f**2 + 0*f**2) + f - 2*f**3 - f)*(-3 + 3 - 2*f**2).\nAnswer: 12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the second derivative of -i**7\/63 + 2*i**6\/45 - i**4\/9 + i**3\/9 - 5*i. Find q, given that y(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 67, 62 in increasing order.\nAnswer: 5, 62, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyyyyyyyyfyfyf. What is prob of picking 3 f?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6116*a**2\/5 - 12272*a\/5 + 16 = 0. Calculate a.\nAnswer: 10\/1529, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 54579412 to the nearest one hundred thousand.\nAnswer: 54600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -5470, -14614, -29864, -51226, -78706, -112310, -152044?\n\"Answer: -s**3 - 3047*s**2 + 4*s - 2426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + h**2 + 1)*(1 - 1 - h)*(11*h - 43*h + 10*h)*(2*h + 1 - 1).\nAnswer: 44*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(114)\/(-1*sqrt(600) + sqrt(6) + sqrt(6)).\nAnswer: -sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 207 - 312*n - 207 + 319*n. Let h(w) = -1831*w**2. What is m(h(v))?\nAnswer: -12817*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 394091 + 344108 = 77*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 11*i - 12. Give z(8).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1\/2)\/(l*l\/(l*l\/l**(1\/3)*l)*l))\/(((l\/(l*l**(-2\/9))*l)\/l)\/(l\/(l**(4\/3)\/l)))*(l**(-2\/3))**(-24\/7)*l**(-2\/19)\/(l*l**(2\/7)) assuming l is positive.\nAnswer: l**(173\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 52.507 + -52.1. Round t to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -646 by -144.\nAnswer: 323\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 68, 133, 200, 269, 340, 413, 488?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3651624.\nAnswer: 2, 3, 41, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, -9, -2, 0.2, 0, 5 in decreasing order.\nAnswer: 5, 0.2, 0, -2\/3, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 + -7. Let q = -0.4 - -0.3. Let v = -0.1 + q. Put 1, v, i in descending order.\nAnswer: 1, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 27182204 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3363940043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 55116.1343 * -4.\nAnswer: -220464.5372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 199340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = f - 121, 122*f = a + 127*f - 56. What is the least common multiple of 244 and a?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 2 + 5)*(0*s - 2*s + 0*s) + (-26 - 5*s + 26 + (-3 - 2 + 3)*(0 - 2*s + 0))*(4 - 2 - 4)*(3 + 1 - 6) as o + n*s and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -2*j - 6. Let g be (-2)\/j - (-4)\/12. Which is the third biggest value?  (a) g  (b) 1\/3  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 283 = -m, 3*o - 543 - 327 = -4*m. Calculate the highest common divisor of 26 and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76 = -2*m + 48. Does 31 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 992*c**3 - 3141*c**3 + 1157*c**3 + 994*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3476475?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = 14*u + 20*u + 1443 for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5752, -11514, -17286, -23068, -28860, -34662, -40474?\nAnswer: -46296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 65204745?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add -3 and -7337045.\nAnswer: -7337048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3317119.\nAnswer: 13, 47, 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4.2?  (a) -41\/2  (b) -0.2  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -15256 + 3?\nAnswer: -15253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 13219 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 14531529?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g - 5 - 7. Solve -1 = -g*i + 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**3 - 4*b**2 + b + 5. Suppose -3*n - 3*l - 9 = 0, 3*n + l + 10 = -l. Let z be o(n). Suppose 9 - z = i. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 28684 and 555.\nAnswer: 15919620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43352580 - 861.\nAnswer: -43353441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-15)\/(-30))\/(((-9)\/12)\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*4953\nAnswer: 1485.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, x: 3, n: 2, r: 3, g: 1, s: 3}. Give prob of sequence ss.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*b - 87 = 8*b. Suppose -2*p + p = -24. Calculate the lowest common multiple of b and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 697642, 697533, 697402, 697237, 697026?\nAnswer: 696757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 738490990 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/1230 and 19\/246.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/10 - (-18)\/5. Suppose 0 = -y - 2*w, b = 3*y + 3*w + 1. Let t(r) = -2*r**2 + 18*r + 30. Let k be t(10). Sort y, 3, k in increasing order.\nAnswer: y, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 45 and 5595.\nAnswer: 16785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -354286876586 - 19.\nAnswer: -354286876605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*b + 59 + 338 + 9. Calculate the least common multiple of 11 and b.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 235244 (base 6) to base 13.\nAnswer: 9502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 273104 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -68146296, -68146295, -68146294, -68146293, -68146292, -68146291?\n\"Answer: c - 68146297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 18, -3, -403, -1 in descending order.\nAnswer: 18, -1, -3, -403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -183*s + 521. Let a be y(-65). What is the highest common factor of a and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -517 + 524. What is the highest common divisor of z and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1205, -2\/11, 81, 0.4 in descending order.\nAnswer: 1205, 81, 0.4, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 3*t**3\/5 + 3486*t**2\/5 - 2796*t + 13992\/5 = 0.\nAnswer: -1166, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are -1700306 and -1699781 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -29*a - 28. Let j(s) = 14*s + 14. Let f(u) = 13*j(u) + 6*l(u). List the prime factors of f(7).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19658814 by -3276469.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 476432\/71463 + -4\/23821. Find m, given that f*m**2 - 12 - 4\/3*m**3 - 4*m = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65*o + 74*o - 328735 = 0. Is o a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 - 904*a**2 + 25135*a - 1847. Determine g(-931).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 - -12003001430?\nAnswer: 12003001440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1226.401745 rounded to the nearest 10?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*(-4)\/(-9)*9\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 3*p + 2*c - 41, -4*c + 56 = 3*p. Let k = p - 13. Let d be 2\/6 + (-3)\/9. Sort -8, d, k in descending order.\nAnswer: d, k, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/h**1*h**(-6\/19) assuming h is positive.\nAnswer: h**(-6\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15)\/(-12)*-14*(-4926)\/(-4105)*38\/(-6)?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3816*n + 6418*n + 693*n - 1307*n + 443*n.\nAnswer: 10063*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83 = -2*c + 91, c - 10 = -3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-3)*(n**(-1\/20)*n)\/n)\/(n\/(n**(-15)*n)*n**(-12)) assuming n is positive.\nAnswer: n**(-121\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 113 and 5537?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 216 and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 - -5) + (-3)\/(-3). Suppose v*u - 4 - 6 = 0. Suppose -3*l - 24 + 45 = 0, 3*p + l - 28 = 0. What is the lowest common multiple of u and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4258251789 to the power of 1\/2, to the nearest integer?\nAnswer: 65255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16*(-455)\/(-2688)*(-20)\/(-25).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 282 - 207. Suppose 0 = 6*d + 57 - f. Let u(s) = -s - 3. Determine u(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -6*m - 4. Let v(w) = 11*w + 7. Let o(p) = -3*v(p) - 5*y(p). Let i(j) = -j + 1. Give -i(l) - o(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3467529 and 534?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*d + 2*o - 85, 36*d + 42*d - 5*o - 3 = 102*d - 23*d + 3 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 15*v**3 + 1467*v**2 - 298*v - 382. Give q(-98).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.08777503628 rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 20, -1\/8, 5, -3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2302651\/54 - 42640. What is the common denominator of 51\/2 and n?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/7  (b) -32\/5  (c) -4\/3  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -384*x**2 - 7*x - 9. Let m(p) = -3*p**2. What is r(m(u))?\nAnswer: -3456*u**4 + 21*u**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 3*i**5 - 14*i**4 - 28*i**3 + 217*i**2 + 428*i. Let j(q) = q**5 + 8*q**3 + q**2 - 4*q. Let n(g) = j(g) - t(g). Solve n(f) = 0 for f.\nAnswer: -3, -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12345073 is divided by 1234505.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*(-18)\/(-39))\/((-303)\/(-3939))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 72 - 130319000.\nAnswer: -130318928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + 0. Suppose q*d - d = 4*h - 85, 2*d + 10 = h. Suppose -3*p = 5*c + h, 0 = p - 6*p - 3*c - 28. Do -4 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 41 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eyxeyye. What is prob of sequence ye?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18 + 17. What is the second biggest value in y, 2, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8.4 + 2.4. Let c = s - -7. Let t be 6\/4 + (-2)\/2. What is the smallest value in c, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + p - 12 = 0. Let t be 2 + p + 1 - -1. Suppose t = -5*y + 3*d - 10, -4*d = -5*y - 8*d + 25. Which is the nearest to y?  (a) 2  (b) 4  (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1988.00007085 - 1988. Round u to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/r**(-2\/13)*r))**(-18\/7))**(7\/9)*(r**7\/(r*r\/(r*r**(-5))))\/(r*r**(-2\/5)\/r)**(3\/14) assuming r is positive.\nAnswer: r**(1544\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 27, 67, 129, 231, 391, 627, 957, 1399?\n\"Answer: 3*p**3 - 7*p**2 + 40*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 21000347 - -3.\nAnswer: 21000350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, x: 5, s: 4}. What is prob of sequence qqs?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1*((-4)\/(-4))\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, q: 1, b: 2, c: 2, d: 1}. What is prob of picking 1 c and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -4*q + 72. Is 477\/(-12)*q\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 577.8 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u**4 + u**4 - 7*u**4)*(1396*u + 116461 - 116461).\nAnswer: -5584*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104) - (sqrt(104) - 6*(-2*sqrt(104) + sqrt(104)) - sqrt(104)))\/(sqrt(88)\/(2*sqrt(11) - sqrt(11))).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 427*f - 3776 = 5191 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7677604 is divided by 3543?\nAnswer: 3466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 14966*u - 14966*u - 3 + 3 + 1691*u**2. Let k(q) = q. Give f(k(h)).\nAnswer: 1691*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 3 - 2*s**4 - 1 - 2*s**4 + 3 - 3 + (-3*s**2 - s**2 + 3*s**2)*(0*s**2 + s**2 - 6*s**2) - s**4 + 3*s**3 - 3*s**3 + 0*s**4 + 3*s**4 - s**4.\nAnswer: 2*s**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000105 to seven decimal places.\nAnswer: -0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1718 - -1720. Solve k - 6*w + 11*w = 8, 4*k = -n*w + 14 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1802875nm to meters.\nAnswer: 0.0000000001802875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -995*i - 217 = -1026*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes after 7:29 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2928 - 2908. What is the greatest common factor of j and 3390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -35, -57, -79, -101, -123, -145?\n\"Answer: -22*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1335 and 390.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 18 = -3*d. Suppose -l + 0 = -d. Solve 3*f + 0*k + 5*k = 0, 0 = l*k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.0559 - -570.5441. Round x to the nearest 10.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -4*y**2 - 62597*y + 626379. What is q(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v + 4*v - 2*v)*(-v**2 + v - v) + 9 + 6*v**3 - 9.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -173, -172, -171, -170, -169?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -105 + 646. Let l be 5\/(105\/9) - 10182\/42. Let c = k + l. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 - 13 = 4*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5389.\nAnswer: 17, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2208 divided by -21\nAnswer: -736\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-2)\/2*-1)\/(21\/63). Let l(m) = m - g*m + 2*m + m**2. Let i(p) = 3*p. What is i(l(b))?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-1\/2)\/(a*a**(2\/33)))\/(a*a**(-8)*a**(-7\/2)))**40 assuming a is positive.\nAnswer: a**(11800\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence llal when four letters picked without replacement from {l: 9, a: 6, u: 2}.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**2 - 517*t + 148939. Give r(206).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**3 + 168*r**2 - 547*r + 8596. Give m(165).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 148.213 days?\nAnswer: 12805603200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.2 times -40?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -56.2 - -112.2. Let q = 50.70303786 + 5.29704394. Let u = b - q. Round u to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1154.63132 and 14.\nAnswer: -1140.63132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w + 6*w - 2*w)*(7*w**4 - 2*w**4 - 2*w**4) + w**5 - 2*w**5 - w**5.\nAnswer: 10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -278061 - -278060. Let g = 7 - 7.3. What is the third smallest value in g, -0.1, -12, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y - 127. Let b(d) = -236*d**2. What is p(b(l))?\nAnswer: -236*l**2 - 127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.03 - 0.07. Let u = h + 0.3. Which is the nearest to 2?  (a) -5  (b) 0.1  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13.31050062981 - 13.3105. Round q to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 2*g**2 - 7*g - 5. Let i be j(10). Suppose 0 = -3*r - 2*r + i. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 8) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 6*l**2. Let v(o) be the third derivative of 3\/4*o**4 - 13*o**2 + 0*o**3 + 0 - 2*o. Give v(y(u)).\nAnswer: 108*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 239 is divided by 125?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -2\/11  (b) 38  (c) -2  (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 times -1?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -7434490 divided by 14\nAnswer: -531035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 3, c: 2, y: 1, u: 5, g: 7}. Give prob of picking 1 y and 2 g.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 + h + 1. Let o(l) = -41*l**2 - 4*l + 24. What is o(i) + 5*w(i)?\nAnswer: -36*i**2 + i + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 2*a**2 - 123*a - 101. Give y(62).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7109.8 - 7110. Which is the closest to v?  (a) 0.5  (b) 5  (c) 0.84  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2343314 - -23?\nAnswer: 2343342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 602 and 1118.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 21\/5 of a day?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, p: 1, c: 1, w: 2, g: 2, j: 2}. Give prob of sequence gwc.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2034 is divided by 261?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -17*y**2 - 17*y - 13. Let m be (-9)\/(-24) - 1\/(32\/844). Let j(i) = -4*i**2 - 4*i - 3. Determine m*j(w) + 6*t(w).\nAnswer: 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 276*o**2. Let c(a) be the first derivative of -a**2 - 676. What is c(u(l))?\nAnswer: -552*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1328 + 2851. Suppose 397 + 610 = 2*y - 3*j, -3*y + 2*j = -h. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -3*w + 213, w - 3*k - 2*k - 87 = 0. What is the greatest common divisor of w and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 1 - 1 + 8*x**3 - 2*x + 3. Suppose -t + 5*g - 2 + 9 = 0, g = -3*t + 5. What is the remainder when y(t) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 divided by -268881?\nAnswer: 7\/89627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -6271195 + 148?\nAnswer: -6271047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11351 or -9613?\nAnswer: -11351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 119753701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 9999, 9966, 9911, 9834, 9735, 9614?\n\"Answer: -11*t**2 + 10010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes after 7:38 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 9060304 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -19, 34, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 45395, 45229, 45063?\n\"Answer: -166*o + 45561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14 + 10 - 13 - -48) + -41.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 2*l**3 + 34*l**2 - 3*l - 38. Calculate h(-17).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 1145813.1 minutes?\nAnswer: 19096.885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -10, -2, -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the first derivative of -r**2 - 6*r + 5. Let z be j(-4). Solve -2*c - z - 2 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -27292\/9 + 3033. Let x = -0.22 - -0.42. What is the closest to u in 1, -2\/9, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -240.979 + 4.\nAnswer: -236.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 5, f: 3, p: 2}. Give prob of sequence fspp.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 26033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w - 4*n - 8, 3*w = -2*w - 4*n + 4. Calculate the greatest common factor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*b - 19*b**2 - 2*b + 10*b + 3 - 2 + 4*b**3 - 6*b**2 in the form z*b**3 + g + o*b**2 + q*b and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + sqrt(66)\/(2*sqrt(6)) + sqrt(176)*2)**2 - (sqrt(121)*-5*-3)\/sqrt(11).\nAnswer: -15*sqrt(11) + 3971\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 3113204 (base 5) to base 14\nAnswer: 1486a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -64 - -68. What is the remainder when 55 is divided by (16\/3)\/u*126\/12?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -146, -290, -542, -914, -1418, -2066, -2870, -3842?\nAnswer: -4994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1642160 is divided by 410537.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1380, -1370, -1324, -1224, -1052, -790, -420?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.094  (b) 7459  (c) -4  (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-62)\/(-93))\/(-3 - -1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 + ((58\/10)\/(462\/4620) - -2)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 149954 and 299908?\nAnswer: 299908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -41330 - -40879.952. Let n = s - -450. Round n to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 118839659?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gdihzlz. Give prob of picking 1 l and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -23\/2*r**2 + 1\/8*r**3 + 91\/8*r + 0.\nAnswer: r*(r - 91)*(r - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 9b2 - -7?\nAnswer: 9b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - r - r + 157, 3*r = -2*s - 122. Is -66 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((860\/45)\/(-2))\/(3614\/(-16263)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 644238 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*z - 31 = -5*j, 3*j = 11*z + 43 - 146 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**3 + 5*q**2 + q. Let j be t(4). Suppose -5*a + 5 = -j. Let r(x) = -x + 6. Calculate r(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*1*-3*(1 + (sqrt(567)*-2*-5 - sqrt(567) - 6*(sqrt(567) + sqrt(567) + 1 + sqrt(567) + sqrt(567)))))**2.\nAnswer: 437400*sqrt(7) + 41342400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 111, 224, 343, 468, 599, 736?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 51?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1111 + 403. What are the prime factors of b?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + m = -1 + 3, -2*m = -2*z + 4. Suppose 18 = -35*w + 41*w. Solve w*s - 5 = z*v + 2*s, -4*v - 13 = s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 - (38 + (21 + -65 - -15)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 234*d - 6. Let l(s) = -968*s + 25. Give 9*h(r) + 2*l(r).\nAnswer: 170*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -2*p + 3*z + 7, 4*z - 6 = 3*p. Suppose p*d - 9 = d. Let h = 43 + 20. Calculate the highest common factor of d and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 40120207 - 95120205. Let d be (-2)\/(-10) - q\/10. Round d to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7290 + 87427\/12. Let q = 13\/4 - w. Calculate the common denominator of -50\/3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12 and 50\/15*(12 + -6)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 + (1\/4 - 135\/(-36)). Let d be i - ((-16)\/(-6) + (-15 - -14)). Is -20\/17 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3 and 971313223.565?\nAnswer: 971313226.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7 - -7. Let m(u) = 5*u - 10600. Let p(r) = -2*r + 5300. Let k(t) = -4*m(t) - 9*p(t). Let s be k(j). What is s rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2236, 2221, 2208, 2197, 2188, 2181, 2176?\n\"Answer: y**2 - 18*y + 2253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 94, 55, -38, -209, -482, -881, -1430, -2153?\n\"Answer: -4*w**3 - 3*w**2 - 2*w + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 8\/232 + (-58560)\/2784\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 6*q = 2*q - 16, -5*r - 3*q + 11 = 0. Solve r*l - l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 + 4*j**2 + 5. Let t be i(4). Let a = -61\/2 - -31. Determine u so that u**2 + a*u**t + 0*u - 1\/4 - 3\/4*u**4 - 1\/2*u**3 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 176.9 - 172.9. What is the nearest to -18 in 0.2, 3, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that c**5\/2 - 7*c**3\/2 - 3*c**2 = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1992 times -0.1\nAnswer: -199.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 265 + -167. Suppose 4*r = -5*y + 280, -r = -y - 33 + k. Suppose -12*j - 84 = -16*j. What is the remainder when y is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/7 - (-24)\/14. Let z be (0 + 0)*b\/(-4). List the prime factors of ((-1)\/(-3) + z)*42.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (568\/852)\/(62*(-2)\/6)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.0209 + -8.4909. Let v = n - -1.47. Let o(k) = k**3 + 12*k**2 - 2*k - 28. Let i be o(-12). What is the smallest value in v, 5, i, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 5612 and 0.1352.\nAnswer: 5612.1352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o**5\/15 + 8*o**4\/15 - 8*o**3\/15 - 4*o**2\/15 + 2*o\/3 - 4\/15 = 0. What is o?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2*((-6)\/(-4) - -4). Is r equal to -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -25 + -1 + (281 - 237).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**2 + 18*j + 4. Let z be s(18). Suppose 1 + z*p - 19*p**2 + 17*p**2 - 1 = 0. Calculate p.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(2 + sqrt(2299)) + ((sqrt(209)*2)\/sqrt(11) + (sqrt(19) - sqrt(190)\/sqrt(40)))**2.\nAnswer: -55*sqrt(19) + 435\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.3, 1, 2, 6.\nAnswer: -1.3, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(1\/4)\/(l*l**(-5)*l)*l**(2\/9)\/l**(4\/7)*(l\/l**1)**(-49)*(l**(1\/6)\/l*l*l)\/(l\/(l*l**(-1\/2)*l)) assuming l is positive.\nAnswer: l**(1151\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 4\/7  (b) -1\/3  (c) 2\/15  (d) -4  (e) 9\/4  (f) 0.059\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(119) - (sqrt(119) + -1*(sqrt(119) - sqrt(119)*-2 - sqrt(119))) - sqrt(119)*2*-5)\/(sqrt(77)\/(sqrt(1331)*-3))*6)**2.\nAnswer: 95971392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes before 8:14 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*f - 462 = -14*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 48976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 3*l**3 - 9168*l**2 - 9189*l + 55026 = 0?\nAnswer: -3, 2, 3057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes after 7:38 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -13, -3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*l + 7*l - 52*l + (-l - 2 + 2)*(4 - 1 - 2).\nAnswer: -55*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -614540 or 2\/3?\nAnswer: -614540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -205364124 divided by -3?\nAnswer: 68454708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f**3 - 3*f**3 + 0*f**3)*(2 - 1 + 1) + 10050 - f**2 + 599*f**3 - 10050.\nAnswer: 597*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 570 and 513?\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 676, -1926, 5, -2.4 in decreasing order.\nAnswer: 676, 5, -2.4, -1926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the second derivative of u**9\/945 + u**6\/80 + 5*u**4\/6 - 17*u. Let r(m) be the third derivative of j(m). Find the second derivative of r(z) wrt z.\nAnswer: 192*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the second derivative of 1\/6*i**3 + 0*i**2 - 1\/8*i**5 + 0 + 3*i + 1\/24*i**4 + 1\/30*i**6. Suppose l(m) = 0. What is m?\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 4, f: 1, z: 6, p: 3}. What is prob of picking 1 f, 2 z, and 1 p?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 - 32 = g. Let h(q) = -2*q**2 - 14*q - 6. Let r be h(-7). Let x = r + -12. Is g greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**3 + 35*x**2 + 457*x + 97. What is k(-10)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 580387921?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*b + 61950 = 16*b. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((2\/(-2))\/((-4)\/52))\/(-1). Let j = 28 + k. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the first derivative of 2*s**5\/55 + 3*s**4\/22 + 4*s**3\/33 + 1. Find n, given that u(n) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 13\/5 of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -646*m**5 + 28*m**2 - 4*m?\nAnswer: -38760*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -5*l**2 - 39*l + 1190. What is d(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 3*i + 10. Let s be h(-5). Suppose -3*r = 2 + 16. Let a = s - r. Which is smaller: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 3*x. Suppose 15 = 4*w + w. Let f(o) = 0 - w*o + 7*o + 0. Determine 4*f(m) - 5*k(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34287*r**2 + 34413*r**2 + 1 - 1.\nAnswer: 126*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.590877kg in grams?\nAnswer: 3590.877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum 29 and 311.\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 84 and 7356?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1092 + 1092 - 107*a**3)*(a - 3 + 3)*(11 - 10 + 8)*(-1 + 1 + 2*a).\nAnswer: -1926*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 3*t - 41581 - 32229, 5*t = -25. What are the prime factors of p?\nAnswer: 14759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-4\/3)\/i**15 assuming i is positive.\nAnswer: i**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/2)\/((2\/(-8))\/((-80)\/160)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the second derivative of o**7\/3360 - o**6\/480 + o**5\/160 + 7*o**4\/12 + 3*o. Let x(z) be the third derivative of k(z). Factor x(j).\nAnswer: 3*(j - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*s**3 - 3825*s**2 + 1224936*s - 3640464 = 0. What is s?\nAnswer: 3, 636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 372*u - 60. Let b(o) = 5*o - 1. Let q(i) = -60*b(i) + k(i). Let s(p) = 6*p**2. Let x(t) = -5*t**2. Let z(c) = -3*s(c) - 4*x(c). Calculate z(q(v)).\nAnswer: 10368*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 4*v = 1050. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 68*(-4)\/56 + 5. What is the third smallest value in p, 0.08, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 15*g**2 + 11*g - 45. Let k be h(7). Let c be 0 - 12\/(-20) - k\/1295. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -20 > -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 59 + -52. Let a(h) = -2*h - 3*h - 4 + 7*h. Calculate the lowest common multiple of a(v) and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*r + 5*h + 15, -5*r - 8 = -r + 6*h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7 and 413699846?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 + (-24)\/20)\/((-1)\/5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (4 - (48\/10 - 1))*(-358 + 293)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand o**5 + 3*o**3 - 3*o**3 - 199*o**3 + 206*o**5 + 199*o**3 + (o - o + o**2)*(-1 + 1 - 2*o**3) + 7*o**5 - 6*o**5 + 7*o**5.\nAnswer: 213*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -5*z + 6, 5*z + 0*z = -3*a + 16. Let s(r) = -3 - 4*r + r + 8*r. Calculate s(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 148642880.\nAnswer: 2, 5, 223, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = -10*k - 11. Solve z = -k*z - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*n**5 + 4*n**5 - 6*n**5 + (-3*n**3 + n**3 - 2*n**3)*(3*n**2 + 0*n**2 - n**2).\nAnswer: -n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes after 7:22 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.9  (b) 0.5  (c) 0.58  (d) -2\/161  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 28087 + -15947. What is the remainder when l is divided by 171?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 401004402 (base 5) to base 4\nAnswer: 12001123213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2208*i**3 - 7791*i**3 - 2006*i**3 + 1983*i**3 - 2915*i**3.\nAnswer: -12937*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 21 = -59. Suppose -2*d = -2*m + 5 + 3, -2*d + l = 4*m. Let q(w) = -2*w**3 - 5*w - 4. Let n(a) = 2*a**3 + 6*a + 5. Determine m*q(h) + 3*n(h).\nAnswer: -2*h**3 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a day in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 0.15, -3, 17 in decreasing order.\nAnswer: 17, 0.15, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + 3 - 8 = 8*z + 1, -2*z + 31 = 33*m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and 16.3.\nAnswer: -8.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (84*t - 139*t - 3 + 2)*(4 - 2 - 4) in the form n*t + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) - 1*(sqrt(13) + 1) - (sqrt(637)*-2 + sqrt(637)))**2 + -5.\nAnswer: -14*sqrt(13) + 633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 365.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r*(r\/((r*r**(2\/11))\/r)*r)\/r*r)**19*((r*r*(r**0\/r)\/r)\/r)**(-2\/3) assuming r is positive.\nAnswer: r**(2416\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1\/38, -4, 24, 0.08, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 24304 and 283619.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 9}. What is prob of picking 4 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 205 - -3183. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -j**3\/5 + 7*j**2 + 73*j\/5 + 37\/5 = 0?\nAnswer: -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.05, 0.183, -32, -0.3, 0.3 in decreasing order.\nAnswer: 0.3, 0.183, -0.05, -0.3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, 9\/5, 2\/6841, 0 in increasing order.\nAnswer: -34, 0, 2\/6841, 9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*i**2 + 21*i**2 - 24*i**3 - 2*i**3 + 5*i**2.\nAnswer: -26*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7.801 + -0.101. Let a = g - 7.699999982. What is a rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-2\/43)\/(z*z**(-7))*(((((z*z**(-3))\/z)\/z*z*z*z*z)\/z)\/z)\/(z**9\/z) assuming z is positive.\nAnswer: z**(-174\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 15\/(-2) + 12\/8. Let q = -2 - n. Suppose z = r + r + 17, -r + 104 = q*z. What is the remainder when z is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 13*t**2 + 4*t + 3. Let j(n) = -27*n**2 - 7*n - 8. Determine 5*c(p) + 3*j(p).\nAnswer: -16*p**2 - p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14 - 2*n - 14 + 6*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1 - 25*w + 3657*w**5 - 5989*w**5 - 6 wrt w?\nAnswer: -46640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001545 rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of -25 + (-2527)\/(-95) + 278301\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1192, -4564, -10182, -18046?\n\"Answer: -1123*i**2 - 3*i - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bqw when three letters picked without replacement from {g: 3, b: 3, r: 2, w: 3, q: 7}?\nAnswer: 7\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from wwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -7*r. Let j(t) be the third derivative of 463*t**4\/12 + 141*t**2 - 2*t - 4. What is y(j(u))?\nAnswer: -6482*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 - 3 - (-3 + (-15)\/(-6)). What is the nearest to 0 in m, -2\/9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25396, -25429, -25476, -25543, -25636, -25761?\nAnswer: -25924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 958 + -942. Calculate the least common multiple of q and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -18*k*n**3*x**2 - 101633*k*n*x**2 - 17532*n**3*x**2 + 2*n**3*x - 2*n**2*x**2 + 19*n**2 wrt k.\nAnswer: -18*n**3*x**2 - 101633*n*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*r + 8*r = 4*s + 24*r + 115*r - 1215, 0 = 5*r - 75 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8 and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/6*(3 + 9). Let v = 9 - n. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 - (-1 - 3\/15). Let b = -240 + 2162\/9. Let p = 0.3 - 0.2. What is the nearest to p in 5, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 7*12\/196 - 36\/(-14). Solve -h = -17*n + 14*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 17 = 3*h. Let j(o) = -o - 1. Let c(m) = 5*m + 4. Let y(w) = h*j(w) + c(w). Give y(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, -683, 2\/9?\nAnswer: -683","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 58, -3\/2, -54, 4, -0.5, 9.3?\nAnswer: 9.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hvzz when four letters picked without replacement from pphhhzzpzvpp.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**2\/9 - 23022*u + 2279420\/9.\nAnswer: -2*(u - 11)*(u + 103610)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * -2724004\nAnswer: 1089601.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0013179 to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 33*d - 1158. Calculate u(39).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -302439, -302423, -302405, -302385?\n\"Answer: y**2 + 13*y - 302453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = 4*b + 84, 4*b - 6*q + 52 = -q. Let c = b - -19. Suppose -5*n + 3 = 2*m, -5*m - n + 5 = -9*m. Sort 2, c, m, -5 in descending order.\nAnswer: 2, c, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3945.\nAnswer: 3, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -3, -1, 5300, 2.\nAnswer: -3, -1, 2, 11, 5300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/12 + (-21)\/126.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5523818*s**5 + 2*s**2 - 4197429 wrt s.\nAnswer: -331429080*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**3 + 23*k**2 + 93*k - 2153. Determine o(23).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 5*b - 16 = 0, -2*d + 6 - 2 = -b. Let c(r) = -5*r**2 + 1 + r**3 - 3 + 3 + 2*r + 0*r**d. What is c(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 11, -0.09, 0.032, 2\/3?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 35 and 147.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 84\/(-9)*552\/368\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is d5065 + 47f?\nAnswer: d54e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/4 + (-3)\/12. Let p be 0 + h\/(3\/24). Let y be (20\/p + 1)*-2. Solve -3*w + y = -3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -515192*-8\nAnswer: 4121536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -40*v**2 - 481*v - 6. Determine u(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 1 = 13. Suppose 3*g - 5*g + 14 = 5*b, -r*g + 5*b + 71 = 0. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0 - (1 + -1)*-1. What is the second derivative of r*a - a - 3*a - 3*a**5 + 2*a wrt a?\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 104144 divided by 8.\nAnswer: 13018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/7940 and -73\/2?\nAnswer: 7940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*y + 2*y + 2*y)*((y - 3*y + 0*y)*(-5 - 1 + 5) - 1 + 1 - 4*y).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.38 + -1.18. Which is the second biggest value?  (a) 4  (b) k  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5\/4 or -21762690?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the second derivative of -1\/105*m**7 + 1\/10*m**5 + 1\/6*m**4 - 38*m - 1\/75*m**6 + 0 - 4\/15*m**3 - 4\/5*m**2. Find h such that l(h) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 7788*t**3 - 18*t**2 - 54. Let z(i) = -i**3 + 2*i**2 + 6. Give q(x) + 9*z(x).\nAnswer: 7779*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is eight thirds of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 50002559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 218 = 27*s - 1996. Suppose -3560 = -s*y + 74*y. List the prime factors of y.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the third derivative of -16*d**4\/3 + 90*d**2 - 2. Let a(f) = 2*f - 2*f - f + 2*f. Determine a(i(k)).\nAnswer: -128*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in ten thirds of a minute?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.3 and -1892.\nAnswer: -1892.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -32 - -41. Let s(u) = 3*u**3 - 2*u**2 + 2*u - 1. Let c be s(1). Let q be 1242006\/27 - c\/a. Round q to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.077 - -0.12. Let m = o + -2.143. Let i = 0.1 + m. Is -1\/2 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 + 9*u**2 - 9*u + 11. Let y be o(8). Suppose -4*q + 10 = 2. Let l = -2 - q. Put y, -3, l in ascending order.\nAnswer: l, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 273, 2, -19, -2 in decreasing order.\nAnswer: 273, 2, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1821871 + 2?\nAnswer: -1821868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1 + -30220.\nAnswer: -30219.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 916 a factor of 1492582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9478 - 4561. Calculate the remainder when j is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55*y**2 + 56*y**2 - 156*y**2 + 47*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 7, l: 9}. What is prob of picking 1 h and 1 l?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:21 AM and 8:26 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 90 = 13*s. Let y be s\/7*(22\/(-4) + 6). What is the nearest to 23 in y, 1\/4, 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -2\/19  (b) -0.5  (c) 2  (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 319*c**2*d**3 + 4*c**2*d - 11*c**2 - 12338*c*d**3 - 734*c*d**2 + 4*d - 2 wrt d.\nAnswer: 1914*c**2 - 74028*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 356486*p**2 - 178237*p**2 - 178244*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-6) + -1 + 1. Which is the smallest value?  (a) 0.02  (b) q  (c) -3  (d) 1\/30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37 = -8*w + w + 19 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 - ((4 + 1 + -9 - -3) + -1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-9)*(-6)\/6*-4.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 75, -2\/11, -2\/5, -0.7, 3 in ascending order.\nAnswer: -0.7, -2\/5, -2\/11, 3, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 162873 is divided by 147?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the third derivative of 0*f - 1\/15*f**5 - 3*f**2 + 0*f**3 - 21 + 0*f**4. Let n(u) = -28*u**2. Give n(t(v)).\nAnswer: -448*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n = 5*x + 18, -2*x + 24 = -4*n - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 93429 is divided by 349.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -1177\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkkkk. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -4*n**3 - 162*n**2 + 264*n - 27. What is h(-42)?\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6297 + -6273. Which is smaller: 280\/11 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 20 = 4*k + k, -11 = 3*k + 4*t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-3\/22)\/(a\/a**(13\/6)))\/((a*a*a*(a\/(a\/a**(4\/17))*a)\/a*a)\/a)**(-3\/7) assuming a is positive.\nAnswer: a**(9491\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) -7  (b) 1  (c) -468.8  (d) 2\/9  (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -3\/2*w**2 - 15\/2 + 9*w = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.25 + -2.2643. Let g = t + 0.015. What is g rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 299, 437, 563, 671, 755, 809, 827?\n\"Answer: -p**3 + 145*p + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 2*p - 267 = 0, 0 = 4*z - 4*p - 216 - 136. What are the prime factors of z?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((-5)\/(-25)*-6)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*((-420)\/3080)\/((-9)\/(-6)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11 - (17 + -47)) + -28 - (0 + 31).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 10 and 0.57?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, h: 1, w: 1, e: 1, z: 3}. Give prob of sequence hll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 + 3447521?\nAnswer: 3447516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 241334 - -5?\nAnswer: 241342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let i = 101.54 - -0.46. Let q = 102.00001339 - i. Round q to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 2*u**2 - 10*u + 9. Let a(c) = c**2 - 9*c + 9. Let g(z) = -6*a(z) + 5*b(z). Let h be -2 + 9 - (-9 + 21). Is g(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 156504*r**2 - 192424*r wrt r.\nAnswer: 313008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 119284 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 955 by 955.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 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: Calculate -14385754*0.1.\nAnswer: -1438575.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes after 4:13 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -2*n - 1. Let g(m) = m + 1. Let u(h) = g(h) + x(h). Let l(o) = -4*o. Calculate -4*l(k) + 18*u(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5\/3  (b) -0.5  (c) -56  (d) 1  (e) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -0.4  (b) -5  (c) 0.5  (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 195*s - 9086 - 4988 + 3934 for s.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 3*q = -12. Let j be (4\/q)\/((-8)\/(-12)). Calculate the common denominator of 3*j + (-104)\/16 and 25\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2\/11, 719\/3, 2\/63, -4, -33?\nAnswer: 719\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 645709.05ns?\nAnswer: 0.000000179363625","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d + 27*d - 310. Sort 7, d, 1, 3.\nAnswer: 1, 3, 7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -2*o**3 + 139*o**2 - 77*o + 348. What is c(69)?\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**3 + i**2 + 3*i + 2. What is p(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/5*110\/99. Let w(f) be the second derivative of d*f**3 + f**2 + 4*f + 0 + 1\/18*f**4. Factor w(s).\nAnswer: 2*(s + 1)*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*f**3 - 10*f + 10*f + (-f + 5*f - 5*f)*(-f**2 + 0*f**2 + 2*f**2).\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**6*l**(2\/7))\/(l**(5\/2)\/((l**6*l)\/l*l)))**(2\/7) assuming l is positive.\nAnswer: l**(151\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -100*r**4 + 27*r**2 - 111*r**4 + 1 + r - 60*r**2 - 180*r**4 + 32*r**2 as k + h*r**2 + g*r**3 + l*r + y*r**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -7*a**2 - 2*a + 32. Let o(t) = -4*t**2 - 2*t + 21. Determine -7*o(n) + 5*z(n).\nAnswer: -7*n**2 + 4*n + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/22*(-4666)\/(-9332).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 305 = 2*m + 3*m, -v = -4*m - 86. Let b = v - 33. Calculate the remainder when b is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 31  (b) 24  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the first derivative of -y**3\/3 + 4*y**2 - 12*y + 2. Let g be l(6). Suppose -8*h + 2*h + 282 = g. List the prime factors of h.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -798 - -2.\nAnswer: -796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 539 and 3619.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -29 - -45. What is the remainder when 62 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/154943734 and 73\/286.\nAnswer: 2014268542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s + 0 - 2 + 3 - 6. Let x be u(6). Let w be (104\/(-36) + 3)\/(-1). Is x >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 - 2 = 2*x. Suppose u - 5*c + 1 = -u, 2*c - 8 = -3*u. What is n in -4*n + 0*n**u + 0*n**2 - 1 + 4*n**x + 2*n**4 - 1 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*c - 86518 + 88066 = 0 for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4352 and 2992.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6 and 342?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 o when two letters picked without replacement from folffssolfl?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, h: 8, v: 4, o: 1, b: 1}. What is prob of picking 1 h and 1 b?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 4*l = -l - 3, 4*l = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 76*q**2 - 7. Let m(z) = -z**2 - z. Let g(r) = -5*m(r) + n(r). Is g(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 73508 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**5 + c**4 - c - 1. Let r(p) = -12*p**5 - 11*p**4 - 3*p**3 + 82*p + 11. Let i(d) = 66*g(d) + 6*r(d). Find the second derivative of i(u) wrt u.\nAnswer: -120*u**3 - 108*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/49?  (a) -0.5  (b) 0.5  (c) -0.1  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13344430 (base 6) to base 12.\nAnswer: 198116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -59, -132, -229, -356, -519, -724, -977?\n\"Answer: -i**3 - 6*i**2 - 48*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/(-2)*(-10)\/15. Let u(b) be the second derivative of 1\/6*b**3 + 0*b**2 - 5\/6*b**4 + 0 - b. Calculate u(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 29308485 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + 0 + (-4 - -2). Let i = u - -5. Solve 7 = i*z - 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -22\/25 in -0.4, 4\/3, -57\/26?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6810170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5\/18176 - -36297\/199936. Factor 0 + o*r**2 - 2\/11*r**3 - 2\/11*r**4 + 2\/11*r**5 + 0*r.\nAnswer: 2*r**2*(r - 1)**2*(r + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**2 - 5*u + 1. Let p be v(3). Suppose 3*f + 39 = 2*r, 8*f - 4*r = 3*f - 65. Let b = p - f. Do 8 and b have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 35060 to the nearest one thousand.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.04 + 3.04. Let r = -0.087 - 7.613. Let p = 8.2 + r. Which is the smallest value?  (a) p  (b) -2  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -18.7 + 3.7. Let t = -0.49 - -15.49. Let w = x + t. Is -2\/5 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10331411 (base 5) to base 12\nAnswer: -43a32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + -4. Let r = -3.1 - l. Let w = r - -0.2. What is the nearest to w in -2, 4\/3, -3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 62\/(-124)*1\/(-29). Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-10)\/(-20)*(1 + -11). Let r = 0 - 0.2. Which is the nearest to r?  (a) 0.2  (b) h  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 162713, 166137, 169563, 172991, 176421, 179853?\nAnswer: 183287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*b**3 + 239*b**2 + 24*b**3 - 13*b**3 - 9*b**3 in the form c*b**2 + r*b**3 + x*b + g and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 45, 64, 83, 102, 121?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1, -0.5, -3.3465, 13, -2\/19, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -953640 by -63576.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -2*c**2 - 34*c - 36. Give m(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 53*p**2 - 4*p - 5. Is k(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -14, 3, 4, 12 in ascending order.\nAnswer: -14, 2, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 679*l**2 - 27*l + 19. Is t(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 + 5 - 10) + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2841793787375 and 0.3?\nAnswer: 2841793787375.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -3, 54, -18, 0, -84, -5 in descending order.\nAnswer: 54, 4, 0, -3, -5, -18, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 721 - 765. Is (814\/t)\/((-1)\/60 - 0) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 102100659*x**3 - 300466000*x?\nAnswer: 612603954*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2 - -14 - -1) + (-10 + 6)\/1. Solve -z + i*b + 24 = 5*b, -4*z + 21 = -b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -137\/48 and -13\/2345364?\nAnswer: 9381456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes before 4:46 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 6754 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**2 - 8*v - 7. Let j(b) = -b + 2. Let p be j(-5). Let a be 2*(0 - p\/2). Let m be z(a). Solve i - 5*i = m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d, 1 p, and 1 r when four letters picked without replacement from hdhdhhprh?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-135)\/30)\/(1\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 9*y = 145. Let l = 204 - 59. What is the greatest common factor of y and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = 4*n - 44. What is the remainder when 43 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 557 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -2*o - o - 9*o - o - 1. Suppose -4*g = u - 2*g, g + 3 = -2*u. Is s(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:08 AM and 9:21 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 40324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 5, t: 3, r: 1, f: 6, a: 3, k: 2}. Give prob of sequence ka.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/((-100)\/36))\/((-7)\/((-280)\/(-12)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/576 and (2167\/(-378) - (4 - 10))\/((-8)\/6).\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10954 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -5*f**4 - 2555*f**3 + 5*f**2 + 2555*f = 0?\nAnswer: -511, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 77*t - 6*t - 9*t to r + m*t and give m.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 + 2. Suppose 5*d - 41 = 4*q - 0*q, 0 = h*q - 2. What is the highest common factor of 36 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -24281*j**4*r**2*w - 10*j**4*r*w + 3*j**2*r**2*w - 3*j**2*r**2 - 7*j**2*r*w + j**2*r - 17*j*r**2*w + 7*w wrt j?\nAnswer: -582744*j*r**2*w - 240*j*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 501 is divided by 126?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -530034 - 104?\nAnswer: -530142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 64 or 9425924?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -306 equal to -306?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 2*o**3 - 180*o**2 + 2010*o - 541. Give a(77).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4144 is divided by 3990?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 6*u**2 - 4*u - 26. Let k(p) = p**2 + p - 1. Let i(g) = g**3 + 6*g**2 - 2*g - 4. Let v be i(-6). Let r(m) = v*k(m) - n(m). What is q in r(q) = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -2*q + 13 + 23, 3*o - 50 = -5*q. Let z(t) = t**2 - 14*t - 13. What are the prime factors of z(o)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 10\/6 + -6*(-4)\/(-36). Let t be (y + -3 - 2)*-1. Solve 0 = t*n - 6*n - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4931447.\nAnswer: 71, 69457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -35 + 39. Suppose -t = 4*x + t - 226, 5*t + 205 = u*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + 0.2. Suppose -3 = y - 8. Let f = 253180 + -253182. What is the second smallest value in y, f, -4, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 6404937 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -254, -1.1, -5, 2\/3.\nAnswer: -254, -5, -1.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/281 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s**4\/2 - 6*s**3 + 29*s**2\/2 - 9*s = 0. Calculate s.\nAnswer: 0, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 122\/(-630) + (-640)\/(-2880). Let h(f) be the first derivative of -v*f**5 + 0*f + 1\/14*f**2 + 3\/28*f**4 - 1\/7*f**3 - 15. Suppose h(q) = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -5  (b) -4598  (c) 0.4  (d) 3190\/9  (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*b + 31*b - 50 = 0. Let i(l) = l**2 + 0*l**2 + 3*l + 1 - 3. Let x be i(b). Calculate the highest common divisor of x and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n + 34 = -5*s, -2*n + 17*s + 32966 - 32875 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9896249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(2057))*4 + (sqrt(2057) - (sqrt(2057) - (sqrt(2057) - (sqrt(2057) + sqrt(2057) + 1 + sqrt(2057)))))*5 + sqrt(2057))**2.\nAnswer: 990*sqrt(17) + 51506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 3*o + 3 = 0. Let h(y) = -3*y**2 + o*y + 0*y**2 + 4*y**2 + 6*y + 11. Is h(-8) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13)\/104 + 12\/(-32).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*j + 33*j = 5*m + 8 - 89, -5*j = 140*m - 439 - 1651 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 52 - 50. Let f(z) be the first derivative of 0*z + 0*z**h + 4\/3*z**3 + 1. Let w(o) = 2*o**2. Determine f(w(p)).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16021261?\nAnswer: 16021261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 1, -1.2, -19, -0.002?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 31309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1188 - -1924. Let f = -483 + w. Calculate the greatest common divisor of f and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1085?\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d + d - 3*d)*(2*d - 3*d + 0*d)*((4 + d - 4)*(-1 + 2*d + 1) + (-2*d - d + 4*d)*(7*d - 4*d + 4*d)*(-4 + 5 + 1)).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: -0.019473182 - -7\nAnswer: 6.980526818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1392375 to the nearest integer?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 5*d**2 + 11*d - 1. Let q(t) = -15*t**2 - 32*t + 4. What is 4*q(r) + 11*z(r)?\nAnswer: -5*r**2 - 7*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 + -1110?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*c**2 + 7*c - 7*c + (0*c + 2*c + 0*c)*(-3 + 3 + 2*c) - 23*c**2 - 482 + 482.\nAnswer: -22*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 5*y**2. Let q(l) = -1701*l**2. Calculate q(t(r)).\nAnswer: -42525*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**3\/2 - 195*k**2\/2 + 12675*k\/2 - 274625\/2.\nAnswer: (k - 65)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*f**3*n*o**3 + 77*f**3*n*o + 9*f**3*n + 14*f**2*o**3 - 225*f*n + 2*o**3 wrt f.\nAnswer: 24*n*o**3 + 462*n*o + 54*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (108732 - 388*x - 108732)*(-3*x**2 + x**2 + x**2).\nAnswer: 388*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uglv when four letters picked without replacement from gulflvvvvlvmg.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 119785712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -566 - -1269. Is 34 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 239 less than 153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 - 1 - (-150 + 2). Let a = -731\/5 + t. Factor 2\/5*y**4 + 0 + 2\/5*y**2 + a*y**3 + 0*y.\nAnswer: 2*y**2*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-12)*y*(y**(-1\/33)*y)\/y)\/(y\/y**5*y**2\/y) assuming y is positive.\nAnswer: y**(-265\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + -8 + 25 + -15 - -15 - -21?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.6 - 6.3. Let g = n + 4.54. What is g rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 + (9 - (-10 + 27)). Let y(m) = -33*m + 1. Let r(z) = 16*z. Calculate c*r(d) - 2*y(d).\nAnswer: -14*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3 + 3 - 2)\/(-1*2). Which is the nearest to 1\/2?  (a) -2  (b) 2\/7  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 + 6*d + 5. Calculate the least common multiple of 18 and w(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 5*(390\/(-16))\/15 - (-1 + 0). Which is bigger: 5 or g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 2 = 23. Let x = f - -26. Solve 3*y = x*u - 5, u - 5*y + 17 = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33310752077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqqqvqqqqqqqqqqqqqqq.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 42892684, 42892688, 42892692, 42892696, 42892700?\nAnswer: 42892704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 2*l - 152 = 0, -3*l - 75 + 23 = -2*c. Calculate the least common multiple of 36 and c - -7 - 1 - 6.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 2446 + 2453 + 3*j - 4899. Let n(b) = -2*b**2 + 3*b + 4. Let i(x) = 4*x**2 - 5*x - 8. Let y(g) = 3*i(g) + 5*n(g). What is y(r(d))?\nAnswer: 18*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 11*n**2 - 17*n - 9. Suppose -19 + 1 = 3*h. Let a(s) = 4*s**2 - 6*s - 3. Determine h*w(j) + 17*a(j).\nAnswer: 2*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/9  (b) -3\/52  (c) 0.1429  (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7767044?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**2 + 5*j - 6. Suppose 32*r - 174 = 3*r. Give p(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 2*r**2 - 4*r - 6. Let o be s(-4). Suppose -o = -2*q - 4. Let j = q - 16. Solve j*a = -2*a - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1829*99\/(-6138))\/(1\/4)\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/20*(-40)\/(-60). Put 6, s, 0.5, 1\/3 in descending order.\nAnswer: 6, 0.5, 1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 1554\/17  (b) -0.01  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 153 + 13. List the prime factors of p.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 170515643*f**5 + 23*f**2 + 449202 wrt f?\nAnswer: 10230938580*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7549 + -7547.49. Sort o, -0.07, -2\/11 in increasing order.\nAnswer: -2\/11, -0.07, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22977, 23017, 23057, 23097, 23137, 23177?\nAnswer: 23217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-36 + 36 - 66*t)*(-2 + 4*t - 1 + 2).\nAnswer: -264*t**2 + 66*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = 3*k + 12. Suppose -3*t + 32 = 5. Let v = k + t. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*t + 4*p - 27*p - 46 + 121 = 8*t - 2*t, 2*p = -4*t + 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the first derivative of 11 + 7\/2*p**2 + 11*p. Find the first derivative of v(g) wrt g.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyyf when four letters picked without replacement from {y: 3, u: 3, f: 5, h: 6}.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 2*f - 241 = 309, 2*d + f + 366 = 0. Let r = d - -187. Solve y - 3*x = 5*y + 17, -r*x = -5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -24.198 + 0.498. Let d = p - 7.3. Let h = d - -31.6. Sort -5, 5\/3, h in decreasing order.\nAnswer: 5\/3, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6854138*z**3 + z + 6258958 wrt z.\nAnswer: 41124828*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -253*g + 740 + 254*g - 778.\nAnswer: g - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + 3*p + 1 = 0, -2*s + 2*p + 456 - 442 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y + 5*y - 4*y)*(0*y + 5*y + 18*y) - 4*y**2 - y**2 + 3*y**2.\nAnswer: 67*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11713 divided by 5169.\nAnswer: 11713\/5169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 6*p - q - 38 = 0, -4*q = -p + 19. Let w(c) be the first derivative of -46 - 6*c**2 + p + 7*c**2 + c + 2*c. Give w(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -2*g**2. Let z(t) = 27*t - 22. Let m(y) = y - 3. Let w(f) = -7*m(f) + z(f). Calculate k(w(n)).\nAnswer: -800*n**2 + 80*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7488, -7490, -7492, -7494, -7496?\nAnswer: -7498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4977 - -4981. Let w = -3 + 3. Which is the closest to 0?  (a) y  (b) w  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find n such that 3*n**2\/4 - 369*n\/4 = 0.\nAnswer: 0, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-51)\/15 - -1)*5. Let x = 20 + m. Calculate the greatest common factor of x and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23 + -23 + -12 - 0 - 20\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -2*a. Let z(l) = -1640*l - 1. Determine z(p(y)).\nAnswer: 3280*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11 - -2) + (77\/14 - -4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -203*d. Let j(x) = 3*x. What is f(j(t))?\nAnswer: -609*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -9*f + 3. Let c(p) = 109*p**2 - 97*p**2 + 13*p - p**f + 1 - 3. Let j be c(13). Sort 0, j, -6.\nAnswer: -6, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -2*s**3\/9 + 4*s**2\/3 + 10*s\/3 + 16\/9 = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -2*u**3 - 2*u**2 - 8*u - 9. Let t be r(-3). Sort 5, 2, 4, 0, t.\nAnswer: 0, 2, 4, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes after 9:40 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -z - 5*z - 7*z - 15*z.\nAnswer: -28*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -45, -129, -247, -405, -609, -865, -1179, -1557?\nAnswer: -2005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 114*x**2 + 8*x + 31. What is the remainder when m(-12) is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 59 - -987. What is the remainder when x is divided by 131?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 194 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**2 - 13*u - 8. Let t be ((-24)\/(-10))\/((-2)\/10). Let a be f(t). Suppose -60 = -a*g + g. Solve 3*b + 0*h + g = -2*h, 4*h + 4 = 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(4\/9)*m**(2\/11) assuming m is positive.\nAnswer: m**(62\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5451.9236 - 3115.1803. Let f = p - -31.2667. Let n = -2379 + f. What is n rounded to zero decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-457)\/(-17) - ((-1178)\/323)\/31\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u = 4*v + 38, -270390*u - 142 = 4*v - 270400*u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d*d*d**(-2)\/d)\/d)**(-4\/29))**(-1\/11) assuming d is positive.\nAnswer: d**(-4\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aaaaacxxc?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 0)*(-4 + 4 + 1)*(4 - 4 + 1)*(-3 - n**2 + 4*n**2 + 0).\nAnswer: 3*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 + 605.8\nAnswer: 605.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2275 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-16))\/((-11)\/462*-14)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22136?\nAnswer: 2, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 301000 divided by -1000\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 21 - -6 - 35 - (-22 - 2)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -13*s**2 + 2*s + 1. Let a be g(3). Let t(i) = -10*i**3 + 6*i**2 - 4*i + 1. Let u be t(-2). Let n = u + a. Solve 3*h = -n - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5787467149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d + 3*v - 98 = -83, 0 = -4*d + 2*v - 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3803288423 + 3803288471.99999954. Let f = 96 + -145. Let d = f + b. What is d rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -211*a**3 - 12*a**2 - a - 9. What are the prime factors of d(-5)?\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 141617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 961.1369 decades to years.\nAnswer: 9611.369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.5 + 14342.2927?\nAnswer: 14340.7927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dow when three letters picked without replacement from srrsbbodboswbodr.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 20 - 14. Let f(k) = m + 22*k**3 - 1 - k - 4. Is f(1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4*18*6\/9. Suppose -q - 3*q = -o. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-6)\/54*-9)\/((-1)\/(-37)). Let q be 1466*h\/8 + 1\/(-4). Round q to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 420.2969 hours in minutes?\nAnswer: 25217.814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2146961 is divided by 3288?\nAnswer: 3185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 37*l**2 + 295*l. Let n(k) = -7*k**2 - 59*k. Give 2*b(a) + 11*n(a).\nAnswer: -3*a**2 - 59*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 211 + -463?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/35530 and -23\/62700.\nAnswer: 1065900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10550 (base 6) to base 5.\nAnswer: -22011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 219 and 365?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*h = -851 + 921 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1054 - 1328 + 1331 + 1387 = -52*n for n.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 8*u - 2 + 4 + 5 + u**2. Let p be d(-6). Put p, 3, 2 in descending order.\nAnswer: 3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23464 (base 7) in base 9?\nAnswer: 8287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**3 + 14*f**2 + 43*f - 38. Calculate the smallest common multiple of 1944 and d(-8).\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -5, -1914, 7, 4, -3 in increasing order.\nAnswer: -1914, -5, -3, -2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 177880 and 760?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -148194419, -296388838, -444583257?\nAnswer: -592777676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -71\/75 and 56\/2413575.\nAnswer: 2413575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**2 + 7. Let j be w(-5). Let x = j - 18. Calculate the remainder when x is divided by 20 - 671\/33 - (-32)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4601372 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.005502738 to 5 dps.\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2405 (base 6) to base 16.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1192969290 and 3749.\nAnswer: 3749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/16*12\/(-378)*12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*c**2*g**3 - 2*c**2*n - 6*c*g**4*n + c*g*n - c + 3*g**3*n - 2*g**2*n wrt g.\nAnswer: 18*c**2 - 144*c*g*n + 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 730, 2929, 6594, 11725, 18322, 26385, 35914?\nAnswer: 46909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13 - -14. Is 2\/1*v + 305 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - (0 + 3)) + (-111 - -121)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2251*t + 4217*t**2 + 15483442 - 15483442 wrt t?\nAnswer: 8434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**3 - 4*l**2 - 5*l - 11. What is the tens digit of q(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**2 - 7*w + 5. Let l be r(7). Solve 2*q = 1 + l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93*j + 923 - 4255 = -90*j + 46*j for j.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 1303703*v - 7822205. What is h(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 78 = 38. Let c = b - -83. Suppose 0 = 4*m - 6*n + 3*n - c, 0 = 4*n + 12. Solve 4*v - z = 4*z - 45, v + m*z - 15 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**2 + 2*g + 12. Let b be h(4). Suppose 6*u - 2 = b*u. Let j = 1436\/36427 - 6\/499. Is j greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**4\/6 + 46267*p**3\/6 + 23132*p**2.\nAnswer: p**2*(p + 3)*(p + 46264)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 930583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 406 and 1512.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**3 + 62*c**2 + 129*c + 24. Let m be k(64). What is the highest common divisor of 506 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2622, 5246, 7870?\nAnswer: 10494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12*(-13)\/195*15\/(-33)*1.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 7:00 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87*n - 100*n = 467*n + 125*n + 24805 for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + (15 - 2 - -13) + -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -9638 (base 11) to base 13\nAnswer: -5a56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -95*d + 549*d + 461*d + 158*d - 49*d.\nAnswer: 1024*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -642.32761 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 13123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -26 and 0.132.\nAnswer: -3.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wge when three letters picked without replacement from egwe?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (96\/(-28))\/(-9 - (1128\/(-63) - (-25 + 16)))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 841*v**3 + 2*v**2 - 1. Is i(1) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1247 rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 16400 - -407?\nAnswer: 17007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 - -1. Suppose -3*r = s*q - 4596, -r + 2*r - 1150 = -q. Suppose -98*y + 95*y + q = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 62649 + -62649.41859. Let n = d + 0.3999. What is n rounded to four dps?\nAnswer: -0.0187","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2485445373 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -65*u**2 + 1040*u - 21. Determine k(16).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, r: 1, t: 2, m: 4}. Give prob of sequence tl.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1299959.\nAnswer: 151, 8609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 100500 is divided by 3769.\nAnswer: 2506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 + -0.13968?\nAnswer: -0.43968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 152498, 152708, 152918, 153128, 153338, 153548?\nAnswer: 153758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 9*((-13)\/3 - -4) + 5. What is the least common multiple of 18 and (0\/(-2) - w)\/(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17931009?\nAnswer: 3, 67, 89209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1458980235 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**2 - 1465*b. Let d(z) = 7*z. Calculate d(l(s)).\nAnswer: 7*s**2 - 10255*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/6*(-235)\/(-94)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -2*z**3 - 5*z + 8. Suppose 0*x = 5*x + 25. Let f(b) = -3*b**3 - 9*b + 15. Let q(k) = x*f(k) + 9*r(k). Find the first derivative of q(c) wrt c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/316301715 and -103\/14057854.\nAnswer: 632603430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 2  (b) -10  (c) 1\/21  (d) -10837.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 7*r - 24. Let o = -15700 + 15707. What is d(o)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**12\/((t*t\/(t**(-10\/9)\/t)*t)\/t)*(t**(-4\/13))**(-30\/11) assuming t is positive.\nAnswer: t**(11233\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -1362 (base 7) in base 9?\nAnswer: -653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5453377457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the second derivative of 4*x**6\/3 + x**5\/20 - 391*x**3\/6 - 363*x. What is the second derivative of j(r) wrt r?\nAnswer: 480*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-192)\/128*(2\/(-9))\/((-2)\/(-3))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5.7?  (a) -9  (b) 0.2  (c) -0.3  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are -7\/6 and -29\/352395 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12.1 + -2.9. Let g = 15.064 + v. Round g to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**3 - 24*f**2 - 177*f - 5042. Give c(-25).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1065667*0.29.\nAnswer: -0.030904343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 224, 445, 666, 887?\nAnswer: 1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(80) + 5 - (-1 + sqrt(1620)))**2.\nAnswer: -168*sqrt(5) + 1016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r = 3*r + 35. Let z = r - 21. Let o = -8 - z. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.945507 and -1.\nAnswer: 0.945507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.045 + -4.255. Let j = f - -4. Let i = j - 0.7. Which is the nearest to 2\/5?  (a) i  (b) -0.4  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16364.2711 rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**2\/n)\/(n*n**(3\/2))*(n\/(n\/n**(-2)))**24 assuming n is positive.\nAnswer: n**(-99\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**2 - 8*m + 45. Determine d(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6732)\/(-1836) - (-101)\/15. Factor -48\/5*d + 4\/5*d**2 - w.\nAnswer: 4*(d - 13)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 a when two letters picked without replacement from {w: 5, r: 1, j: 8, x: 2, a: 2}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from bhhbbeeeeeheb.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1*1\/3*-4. Let f = 132.87 + -132. Let z = -1.07 + f. Which is greater: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the third derivative of f**6\/160 - 767*f**5\/80 + 147455*f**4\/32 - 146689*f**3\/8 - f**2 - 1787*f. Factor y(s).\nAnswer: 3*(s - 383)**2*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 130 + 1467?\nAnswer: 1597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 + 11*x**2 - 13*x - 1. Let a be b(-12). What is the greatest common factor of 33 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -210540.042734604291 + -0.107267795709. Let a = x + 210540. Let q = -0.15 - a. What is q rounded to seven decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 406, 503, 364, 1, -574?\nAnswer: -1349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2 + (-2 - -3))*-1. Let n be 2*(p + 2 - -2). Suppose 0*c + 30 = n*c. Solve -3*j + 6*j = c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32767?\nAnswer: 7, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -1\/9, 1, -2.5, 5, -3\/2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-32)\/24*(-3)\/2. Solve -4*a = 4*k - 24, x*k + 9 = -5*a + 10*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 + 0. Suppose -2*r - 4*i = -3*i - 7, 5*r - 4*i = 50. Suppose -4*p = r - 46. What is the smallest common multiple of p and g?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/24*2 + (-110)\/(-1320). Let i be ((-27)\/(-6))\/(21\/(-56)). Let f be 216\/608 + 3\/i. What is the closest to 3 in v, -1, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2449\/(-1395) - 12\/(-10))\/((-10)\/12). Factor -11\/3*h - o - 3*h**2.\nAnswer: -(h + 1)*(9*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h - 2. Let n(u) = -2*u - 3. Calculate 4*i(w) - 3*n(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3413410103 + 21?\nAnswer: 3413410124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20637 is divided by 1898?\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of -4*c**3\/3 - 3*c**2 - 2. What is the second derivative of k(a) wrt a?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*r**2 + 265*r.\nAnswer: -5*r*(r - 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-1)*g)**(-1\/11) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(-2\/49)*f\/f**(1\/5))\/((f*f**1)\/f)**(-39) assuming f is positive.\nAnswer: f**(10006\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -63 + 14. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.4, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 602*f - 476*f - 4208 = 328 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 0*i - 29 = 0. Suppose 0 = z + 8 - i. Suppose 0 = -3*t + z + 3. Solve -t = -2*p - f, 2*p - 24 = -f - 4*f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9\/2, 0.83, -1\/3, 3\/4 in descending order.\nAnswer: 0.83, 3\/4, -1\/3, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 7069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**2\/9 - 1966*m\/3 - 23560\/9.\nAnswer: -2*(m + 4)*(m + 2945)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 741220736?\nAnswer: 2, 5790787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**2 - 3*q - 5. Suppose 7*r = 2*r + 3*z - 22, 4*r - 2*z = -16. Let f be w(r). Solve y - 1 = l, l - f = 3*y - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*y + y - y)*((2 - 2 + 2*y)*(y - 2*y + 3*y) + (-2*y**2 + 3*y**2 - 2*y**2)*(3 - 3 + 2) - y**2 + 0*y**2 + 0*y**2 - 1 + 2*y**2 + 1 + y**2 - y**2 - y**2).\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2227*v + 2295*v - 408 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8\/28*(-245)\/70. Is -420 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 207*u**3 + u**2 - 1. Let s be z(1). Let c be (-2 + (-3)\/(-1))*s\/(-23). Let w(r) = -r - 14. Let k be w(-6). Is k != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -970, -965, -956, -943?\nAnswer: -926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4*a**2*j + 14*a**2 - 2*a*j*v - 54*j*v + j - v - 2 wrt a?\nAnswer: -8*a*j + 28*a - 2*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (-5 + 3 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 + 2*u**3 - 3 + 3*u**3 + u**3 + 5*u**3 + (3*u**2 - 4*u**2 + 3*u**2)*(3 - 2*u - 3).\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((143\/(-1716))\/(5\/225))\/(7\/(-4)).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-7701)\/(-2)*11000\/(-330). Round v to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-11)\/(11\/111)*(-4)\/6?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than 675\/2764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3716 - -7888. List the prime factors of m.\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*t**2 + 2*t - t + 4*t**2)*(-3544 + 10007 + 2356 + 7487)*(-7*t**3 + 0*t**2 + 0*t**2).\nAnswer: -114142*t**5 - 114142*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 6496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 + 5*h - 1. Suppose d + 8 = -i, -d + 20 = -4*i + d. Let a(t) = -t**2 - 6*t + 1. Let c(b) = i*y(b) - 5*a(b). Factor c(n).\nAnswer: -(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7773569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -29 + -50?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 120 by 9.\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and 0.031.\nAnswer: -0.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -4259, -8518, -12775, -17030, -21283?\n\"Answer: j**2 - 4262*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 5.893478ng?\nAnswer: 0.000005893478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 236 to 0 dps.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 13*w + 77 = -3*a - a, a = 69*w - 14*w - 279 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4689395 is divided by 552.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v + 2 + 8. Suppose 5*q = 3*h - h + 5, v*h = -3*q + 19. Solve q*a - 2 = 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (-7 - (-5 - -2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 394 - 4*u + 3*u - 394 - 2*u + u. Let w(h) = -8*h**2 - 22*h**2 - 3*h**2. Determine d(w(s)).\nAnswer: 66*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 328 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9663 + 2383 = 520*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 202933.5 days?\nAnswer: 17533454400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000018374694 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:41 AM and 3:57 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 1041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t - 4. Let v(l) = l**3 + 7*l**2 - l - 14. Let r be v(-7). Let o(q) = 3*q + 14. Let k be o(r). Let x be (k\/(-4))\/(75\/(-20) - -4). What is b(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/12)\/(4720\/480)\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -41507\/686 - -2\/343. Let t = -62 - d. What is the second smallest value in t, -0.2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 573882 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 - -160428?\nAnswer: 160427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in fifty-one fifths of a century?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*y + 0*y = 3*y + 162 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28871, -28872, -28873, -28874?\nAnswer: -28875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21 - 47736381919.\nAnswer: -47736381898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f + 3*b + 31, 0 = -38*f + 37*f - 3*b - 11. Suppose -3*s + 5*h = 2*h + 24, -4*h = -8. Sort s, f, 3 in decreasing order.\nAnswer: f, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 0 - 3)*(17*b - 120 + 120) in the form t + p*b and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 4*d**3 + 10*d**2 - d + 13. Let s(z) = 7*z**3 + 20*z**2 - 3*z + 25. Let l(q) = -5*a(q) + 3*s(q). Is l(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 3*v**3 - 37*v**2 - 72*v + 31. What is the lowest common multiple of f(14) and 2532?\nAnswer: 2532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 116194?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -14*u**2 + 156*u - 16. Let j be d(11). Solve 34 = -5*t + 3*o, -o = -2*t - j*o + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -6*q + 1 - 1. Suppose c - 29 = -5*i, -c = -5*c - 4*i + 68. Let t(d) = -d**2. Let b(s) = -3*s**2. Let k(o) = c*t(o) - 4*b(o). Calculate k(h(a)).\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -7*y**3 - 2*y**2 - 3*y - 3. Let c(n) = n**3 + n**2 + n + 1. Suppose 7*k - 7 - 14 = 0. What is k*c(r) + a(r)?\nAnswer: -4*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = -7*m + m. Suppose -3*l = -3*v - 39, -2*l + 5*v + 21 + 17 = 0. Let c = l - m. Is 2 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2731336177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-9) - (-2)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7.691 + 0.009. Let p = 8 - x. What is the nearest to 1 in p, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8280, 8349, 8418?\nAnswer: 8487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2673885 is divided by 1219.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the second derivative of -a**4\/12 - a**3 - 5*a**2\/2 - a. Let b be l(-4). Suppose -b*y + 322 = -y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -0.3, 3, -2713.9, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - m + 5 = 0, 3*w + 28 - 7 = -3*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 7, l: 1, b: 9, t: 1, c: 2}. Give prob of picking 2 b and 1 l.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 126264114663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**3\/3 + 83*d**2 - 698*d\/3 - 3280.\nAnswer: -(d - 246)*(d - 8)*(d + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 3*b**2 + 60*b + 14. Calculate f(-8).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -2*h**2. Let j be 3\/2*16\/6. Let n be (58\/j)\/(12\/24). Let q(m) = 9*m - 9*m + n*m**2. Give g(q(t)).\nAnswer: -1682*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 41683059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -29*p**5 + 7*p**4 - 2*p**3 + 25*p**2 - p - 62?\nAnswer: -1740*p**2 + 168*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 644*z + 30 = 640*z - 2*o, 5*z = -2*o - 37 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**2 - 261438730*i + 3417510477200645.\nAnswer: 5*(i - 26143873)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 13, a: 3}. Give prob of picking 2 x.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.879 - 6.121. Which is greater: r or 18\/5?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -117157, -117150, -117141, -117130, -117117, -117102, -117085?\n\"Answer: u**2 + 4*u - 117162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2071 - -3344. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-17)\/(-14) + -1)\/((-33)\/44)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 303884596?\nAnswer: 2, 433, 175453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 17038827215 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-846)\/(-1974) - 12888\/(-14) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4543 + -4542. Is j greater than or equal to 168.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*f - 14*f - 1368. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*t - 3*v = 3*t - 4 + 61, -2999 = -5*t + 2*v - 3006 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*d**3 + 130*d + 2*d**3 + 17*d.\nAnswer: -d**3 + 147*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1\/8  (b) 2  (c) -2506  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3 + 3)*(-1 + 2 + 1)*(2*y + 1 - 1).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*-0.384\nAnswer: 0.0768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-456)\/38 - 56\/(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 + 60 = b - 4*m, 5*b - 2*m = 314. What is the remainder when 830 is divided by b?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + 3. Let a(u) = 7*u + 154. Calculate the remainder when a(-20) is divided by g - -4*1\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**3 - 4*p**2 + 3*p - 7. Calculate the remainder when y(-5) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79*l + 73*l + 132 = 0. Solve 0 = -5*n + u - l, 4*n + u + 3*u + 32 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3, 1, -2, 120 in ascending order.\nAnswer: -3, -2, 1, 3, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9*c**2 + 16*c**2 - 9*c**2 + 4*c**5 + (2*c**3 + c**3 - 5*c**3)*(-3*c**2 + 4*c**2 + 0*c**2).\nAnswer: 2*c**5 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*p = 2*p + 75. Solve p*z - l + 9 - 2 = 0, -4*z + 6 = 5*l for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2914 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence blb when three letters picked without replacement from lppbby?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.049367 to three decimal places.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = -5*q, 2*q = -s + 5*q - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = -0*d - 5*d, 0 = 2*u + 3*d + 11. Let r be ((-1)\/(-3)*0)\/u. Suppose 0 = -r*i - 3*i. Solve i = -2*w - 3*m + 4, 0 = 2*w - 6*w + 3*m - 28 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2023232322 (base 4) to base 14.\nAnswer: -10c81c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 36745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1994, 2050, 2106, 2162?\n\"Answer: 56*v + 1938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -1699*x + 66. What is the units digit of r(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*w + 44 - 260 = 0. List the prime factors of w\/(-10)*76830\/117.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99*q - 46*q + 2*q**2 - 55*q = 0 for q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -85, -112, -139, -166, -193, -220?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24435 is divided by 672.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2778153 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = -4*p - 5, -2*p - p = -5*q. Let l = -6 + 2. Let c = l - 1. What is the second biggest value in 1\/6, q, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -2, 14, 10.\nAnswer: -2, 0, 10, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (12\/(-56))\/(23\/((-644)\/24))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 4*r - 5 = -4*y, -2*r - 16 = -5*y. Suppose 4*h = h + 27. Suppose f + y*f - h = 0. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3959 and 3424?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from igjujjiunj. What is prob of sequence uij?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -58656.02002 rounded to the nearest 1000?\nAnswer: -59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31 = 3*t - 37301*b + 37306*b, -3*t - 2*b = 34 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccaa when four letters picked without replacement from {c: 3, a: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 24\/(-88) - (-962)\/(-143). Let l(k) = -k**3 - 11*k**2 - 26*k + 27. What is l(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -22 - -1230122222?\nAnswer: 1230122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6\/1127 - 32755\/13524. Calculate the common denominator of w and -91*1\/40*4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1 + 1)\/1)\/2. Suppose 4*i = -3*w - 2*w + 228, y = -2*i + 4*w + 140. What are the prime factors of i?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -3*t + 3*d, -4*t - 5 - 2 = -3*d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 20730.3 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 c when two letters picked without replacement from {c: 3, t: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - 2*g - 1488. Is g a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3123, -3792, -4461, -5130, -5799, -6468?\nAnswer: -7137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1919417 is divided by 34263?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 221014435 (base 6) to base 16\nAnswer: 3c8c57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 6 - 14 = 0. Let l(h) = -h**3 + 4*h**2 + 120*h - 39. Let s be l(13). What is the biggest value in v, s, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1517*d**2*u*z - 2*d*u - d*z + 5*u*z + 200 wrt d.\nAnswer: -3034*d*u*z - 2*u - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*j + 2 = 16*j + 2*d, 3*j + 8*d + 941 = 935 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -221 = -19*z - 202. Let l(n) = 0 - 1 + z - 4*n + 0 + 6. What is l(8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2022221001121121 + 12?\nAnswer: 2022221001121210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -25 + 27. Suppose 0 = s + 2*j - 7, j - 9 = n*s - 38. Suppose v = -s + 31. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88\/5*((-5673)\/(-62) - 89)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*j - 819 = -10*j. Suppose -4*p - 163 = -j. Is (11 - 10)\/(2\/p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -476*w**3 - 8*w + 18 + 475*w**3 + 6*w**2 + 5*w**2. Calculate the remainder when r(10) is divided by (-3*4 - 2)\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + (9 - ((-29 + 5 - 5) + -6))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*v + 6*v - 4*v + (-v - 5*v - 2*v)*(-5 + 3 + 6) + 6*v + 0*v - 5*v + 11.\nAnswer: -26*v + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -l + 3*l - 961*l**2 + 1664*l**2 - 704*l**2 - 2*l.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -r**3*t - 2*r**3 - 21543*r**2*t - 2*r**2 + 31175*r*t + 2*r wrt r.\nAnswer: -6*r*t - 12*r - 43086*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.1116 - 29\nAnswer: -28.8884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 8 = -0*z. Suppose -63 = c - z*c. Suppose 2*u - 9 = 71. Calculate the remainder when u is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 2*h + 90 = 0, -2*h - 10 = -4*h. What is the remainder when q is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iyyi when four letters picked without replacement from {c: 7, y: 9, i: 2, g: 1}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.9853252 months in millennia?\nAnswer: 0.0002487771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes after 5:08 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -20 + 20. Suppose 3*o = -y*o + 4*r, 5*o - 17 = r. Suppose 2*m - 46 = o*d, -3*d - 26 = -m + 2*d. What is the remainder when 60 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes after 12:28 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert a554a5 (base 16) to base 12.\nAnswer: 3766399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -457620 - -11?\nAnswer: -457609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f**3 + 3*f**2 - 3*f**2 + (200*f - 332*f - 417*f + (0 - f + 0)*(-4 + 3 + 2))*(f**2 + 2*f**2 - f**2).\nAnswer: -1102*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**2 - 12*k + 23. Let v be o(11). Let s = 5 - 3. Suppose 0 = v*t - 13*t + s. Solve 0 = -4*d + 4*l + 4, 5*d + 1 = -t*l - 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the first derivative of n**3\/3 - n**2\/2 + 2*n - 8. Let y be x(0). Find the third derivative of i**y + 3*i**2 - 61*i**5 + 6*i**6 + 61*i**5 wrt i.\nAnswer: 720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3  (b) -83  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the second derivative of s**7\/3780 + s**6\/540 - s**5\/60 + 5*s**4\/12 - 13*s. Let g(x) be the third derivative of y(x). Suppose g(h) = 0. What is h?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.00742, 6\/5, -3 in increasing order.\nAnswer: -3, 0.00742, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29360, 59524, 89700, 119888?\nAnswer: 150088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -105*a**3 - 6644*a**2 + a + 14325511 wrt a?\nAnswer: -315*a**2 - 13288*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 11) to base 14.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(-3)*p)\/((p\/(p\/p**(-1\/8))*p)\/p))\/(p*p**(-7)*p*p**(-9)\/p) assuming p is positive.\nAnswer: p**(161\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 73842 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 7*u + 5*u - 7 = 0, -u - 14 = -4*y. Let b(q) = 304*q - 304*q - y - 11*q**2. Let p(o) = 2*o. What is p(b(a))?\nAnswer: -22*a**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 6*n + 379*n**2 - 5 - 3*n - 376*n**2. Let v(z) = 7*z**2 + 7*z - 11. Give -13*r(f) + 6*v(f).\nAnswer: 3*f**2 + 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*w = -20*w - 22. Let u(o) = 4*o**2 - 5*o - 4. Let q be u(w). Sort q, -3\/8, 5, -6\/7 in descending order.\nAnswer: 5, q, -3\/8, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2, 6, 5.\nAnswer: -2, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 + (0 - (-80)\/35). Sort c, -1, 3 in descending order.\nAnswer: 3, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1237, 1214, 1169, 1102, 1013, 902, 769?\nAnswer: 614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-159)\/(-51) + -3 - 61876417\/(-1411) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(45) + sqrt(45) + (sqrt(5445) - 1*sqrt(5445)) + sqrt(45) + -1*sqrt(720))\/(sqrt(225) - 6*sqrt(225)*6).\nAnswer: sqrt(5)\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the second derivative of n**4\/12 + 11*n**3\/6 + 5*n**2\/2 + 3*n - 9. What is s(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 - 8. Let s = 0.1 + -0.1. Which is smaller: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = -2*k + 3*k. Suppose 2*l - 92 = -k. Suppose 3*v - l - 15 = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -160 = -23*k + 18*k. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -78 - -226. Let h = k + -93. Calculate the remainder when h is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 44 and 847?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the first derivative of -5*a**4\/4 - 1255*a**3 + 5*a**2\/2 + 3765*a - 4684. Factor g(z).\nAnswer: -5*(z - 1)*(z + 1)*(z + 753)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((1\/(-3))\/((56\/21)\/8))\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 60828516 and 2811402?\nAnswer: 669113676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.04422972 - -174769.14.\nAnswer: 174769.09577028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 3, h: 6, p: 1, g: 3}. What is prob of sequence hhd?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -47*b**2 - 4*b - 4. Let s(p) = 4982*p**2 + 423*p + 423. Calculate 423*m(q) + 4*s(q).\nAnswer: 47*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15.5 + -31. Let l = u - -14.4. What is the nearest to l in 1\/6, 2, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*-1846.\nAnswer: -9230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z = -4*z + 18 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.4, -4, -1, 2\/37?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 5*m + 10 = 3*q, 5*q - m - 18 = 0. Suppose h + 194 = 5*h - 2*o, q*o = h - 66. Is h a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -78*u + 8. Calculate a(2).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 9*n**2 + 8*n - 2. Let r(y) = -6*y**2 - 5*y + 1. Let t(z) = -5*q(z) - 8*r(z). Let w(a) = 19*a**2 + 13. What is 39*t(i) - 6*w(i)?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2*3290\/12)\/(6\/(-18)). Let q(h) = -1630 + b + h - 2*h. Determine q(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -35*f - 12. Is z(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**2\/7 - 58*g\/7 - 200\/7.\nAnswer: -2*(g + 4)*(g + 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3333014 bigger than 3333010?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -737*n = -740*n + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7008 and 3712.\nAnswer: 812928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 36619499513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 33 divided by -3623559\nAnswer: -11\/1207853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 178, 717, 1612, 2857, 4446?\n\"Answer: -w**3 + 184*w**2 - 6*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 43447, 86977, 130507, 174037, 217567?\nAnswer: 261097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 60 = 10. Suppose 0 = 4*h - 2*o - 130, -5*o + 52 + 113 = 4*h. Let a = b - h. Is 14\/11 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 5, z: 6, i: 1, m: 3, p: 1, v: 3}. What is prob of picking 1 z, 1 o, and 1 m?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 575, 2253, 5055, 8987, 14055, 20265?\nAnswer: 27623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10275334 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-1)*((-117)\/(-36))\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 14, q: 1}. Give prob of sequence qa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1796696663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7332.\nAnswer: 2, 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 787 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 9*o + 62. Let l be y(-11). Let q = l - -425. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-5)*r**(2\/31)*r*r)\/(r*r**(1\/19)\/r*r\/(r*r**(-8))))**(-21) assuming r is positive.\nAnswer: r**(135912\/589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**2 + 8*o - 4. What is u(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 26 - 23. Let s(i) = -6*i**3 + 4*i + 10. Let c(u) = -7*u**3 + 3*u + 11. Let b(z) = v*s(z) - 4*c(z). Differentiate b(o) wrt o.\nAnswer: 30*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-5) - 2573\/(-415)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2740175000 to the nearest 1000000.\nAnswer: -2740000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -8*b + 2. Let r(n) = 9*n - 3. Let z(f) = -5*r(f) - 6*y(f). Let l = 19 - 4. Suppose 0 = -5*i + l + 5. Let o(c) = 8*c + 8. Calculate i*o(d) - 11*z(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:12 AM and 11:31 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (26\/39)\/((-8)\/(-84)). Suppose -3 + 0 = -3*r. Let a(z) = z - 13 + 0*z - 3 + r. Give a(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110111101001111 (base 2) to base 3.\nAnswer: -1110002101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -44112, -84934, -125756, -166578, -207400?\n\"Answer: -40822*a - 3290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -99 - -159. Calculate the highest common factor of n and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -2 - 2*y + 2. Let z(r) = -r + 351. Let p(d) = 18*d - 1053. Let v(m) = 3*p(m) + 9*z(m). What is v(j(t))?\nAnswer: -90*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1433389363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*q - 22 = -40. Solve -5*s = q*f + 15, 3*f = 4*f - s - 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2178)*3)\/(5*(sqrt(9) + sqrt(324))).\nAnswer: 33*sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 11 and 332334.\nAnswer: 3655674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 + 32*s**2 - s + 26. Calculate the remainder when 74 is divided by o(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(7)*-4 + sqrt(7))**2*-4 + 1*sqrt(28) + sqrt(28) + (sqrt(21)\/sqrt(27))**2.\nAnswer: -2261\/9 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/35889 and 107\/14.\nAnswer: 71778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 15234 = -5*n - 3*o, 0 = 3*n - 3*o - 9144. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2483128561*a**2\/6 + 3986480*a - 9600 = 0. Calculate a.\nAnswer: 240\/49831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - d - 1 = 0, 0 = -372*u + 371*u - 4*d - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*t + 8*t = -25. Let l(p) be the second derivative of 0 + 0*p**4 - 6*p + 2\/3*p**3 - 3\/10*p**t + 0*p**2. What is the second derivative of l(n) wrt n?\nAnswer: -36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m - 4*r - 24, -5*m - 2*r + 12 = -6*m. Let b be ((-682)\/m)\/11 - 1*-1. Let d = b - 253\/28. Is -36 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/((-4)\/(-3)) + 20. Let a = m - 19. Calculate the lowest common multiple of 6 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = m + 45, -3*k - 4*m + 4 + 0 = 0. Calculate the common denominator of 2\/4*124\/(-6) and (9\/(-20))\/((-3)\/k).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*v - 38*v + 8*v - 34*v - 31*v + 191*v - 39*v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -363 + 523. Suppose -5*t = -3*t - g. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2 + 1. Suppose -20 = 15*o - 20*o. Let h be m(o). Let b = 40 + h. Solve -b = w + 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/4 + (315\/18 - -6). Let g be 1\/(((-19)\/76)\/((-1)\/u)). Which is the nearest to 0.1?  (a) 1\/3  (b) g  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 789617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -9461 - 10?\nAnswer: -9471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((3*2*sqrt(140) + sqrt(140))\/((sqrt(21)*1)\/sqrt(3)))\/((sqrt(144)\/sqrt(3))\/(sqrt(3) + sqrt(147)*1)) + -3)**2.\nAnswer: -168*sqrt(5) + 3929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:18 AM and 3:49 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 147 is divided by 86.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1647*q + 1645*q + 20 = -3*v, -34 = 4*v + q for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -114291086 + 81091086. What is l rounded to the nearest one million?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = -11 - 4, -r + 3*k + 15 = 0. Suppose -4*a = -r*a. Let f = -10 + 12. Solve a = 4*l + 6 + f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 183390173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -538, 1, 25040, 0, 4 in decreasing order.\nAnswer: 25040, 4, 1, 0, -538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 13 = 5*k - 5*p, -4*p + 16 = 4*k. Suppose -k*m + 1044 = 26*m. Calculate the least common multiple of m and 184.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 147, 144, 139, 132, 123, 112?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -150*l**3 - 22*l**2 - 84*l + 299*l**3 - 137*l**3 - 49 - l**4 + 0*l**2.\nAnswer: -(l - 7)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14968 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -10, -1.2, -1\/8, -9, 0.3?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5721 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**2 - t. Let m be s(-1). Let b(i) = 336*i - 337*i - 16 - 9. Let k be b(m). Is -24 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (19 - 12 - 14)*(-29*l - 7*l - 6*l) - l - 3 + 3 + (5 - 2 - 5)*(-2*l + 3*l + l) in the form r*l + f and give r.\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 10 - 48 = -4*s, 0 = -4*s + 8. Is 3\/5 + (-6824)\/u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 9109 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.4, -2003, 0.2, -0.1, -4, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 4*g - 2*j = 2, 0 = -5*g + 2*j + 11. What is the second derivative of -4 + 4 - 3*p**g + 0*p + 3*p wrt p?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2686431983 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 10629, 21253, 31853, 42429, 52981?\n\"Answer: -12*l**2 + 10660*l - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r + 26. Calculate the remainder when d(0) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.124649928 and 13.\nAnswer: 13.124649928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 102 + -99. Suppose -2*y + i*y = 19. Calculate the highest common divisor of y and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -t + 2*t - 4*m, -2*t = -4*m - 12. Solve 3*y = t*y - 5*d - 5, 0 = -4*y + 5*d + 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3a - -d?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(1 + sqrt(2299) + 0 + 5 - ((-3*(sqrt(2299) + 1) - sqrt(2299)) + -1)))**2.\nAnswer: 4400*sqrt(19) + 230300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.48 - 2.48. Let m = -2.8 - -3. What is the closest to i in m, -1\/8, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-21)\/28 + (-38)\/(-8). Suppose -2 - n = -r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 20 = -2*a + 28, 0 = 5*f. Suppose -a*k - 3*z + 5166 = -k, 10 = -5*z. List the prime factors of k.\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 659*m + 503*m + 1059*m + 2907 = -686*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((26 - 36) + 10)\/(2 - 4). Put 10, -16, -1, l, -4 in descending order.\nAnswer: 10, l, -1, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 0.5, -135, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 656 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(3\/5)\/(d*d**(1\/6)*d))**(21\/2) assuming d is positive.\nAnswer: d**(-329\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the second derivative of 1\/48*n**4 + 0 - 7\/6*n**3 - 123*n + 49\/2*n**2. Factor s(o).\nAnswer: (o - 14)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29419.\nAnswer: 13, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 36, 132, 30 in decreasing order.\nAnswer: 132, 36, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*f - 3*f. Suppose f = -4*j + 4*w + 21 - 5, 0 = 5*j + 3*w - 12. Let i = j - 1. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 493 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = l + 2*r, 5*r - 20 = -7*l + 2*l. Suppose -15 = -k + l. Solve 0 = -3*u + 2*f - k, 0 = -2*u + 6*f - f - 18 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the third derivative of -31*v**6\/8 - v**5\/12 + 23*v**4\/12 - 285*v**2. Find the third derivative of w(i) wrt i.\nAnswer: -2790","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((4 + sqrt(200) + 3)**2 - ((sqrt(200)*1)**2 + 2)) + 3.\nAnswer: 49 + 140*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*t + 8*t - 197*t**3 - 20*t.\nAnswer: -197*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 3*g + 37 - 157, -3*b - g = -128. What is the remainder when b is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7830 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 6, y: 2, r: 2, q: 3}. Give prob of picking 1 s and 1 r.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22841895?\nAnswer: 3, 5, 19, 80147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 17306180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence blvn when four letters picked without replacement from {l: 1, t: 2, n: 8, j: 1, b: 2, v: 3}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b*b**(-4\/9)*b)\/b)\/b)**(-2\/41)\/(b**(-1\/21)\/(b*b*b**(2\/17))) assuming b is positive.\nAnswer: b**(93889\/43911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4*(1 - (3 + -1)). Let x be 8\/(-70) - v\/(-14). Which is the closest to x?  (a) 1\/6  (b) 1  (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 3, b: 4, g: 7, t: 1, h: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14553.9t to kilograms.\nAnswer: 14553900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 17?  (a) -0.4  (b) -0.068  (c) -2\/27  (d) 2\/3  (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -193027, -11, -3 in descending order.\nAnswer: -3, -11, -193027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14*u + 51 - 51 + (-2 + 4 - 1)*(7 + 3*u - 7) + 4*u - 5*u + 0*u + (0*u - 3*u + u)*(3 - 3 - 2) + 0*u - u + 0*u + 4 - 4 + 3*u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 66\/36 - (-685)\/30.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 43577 + -43576.6. Sort p, -7\/6, 5, -5, -2\/5.\nAnswer: -5, -7\/6, -2\/5, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -32*k**2 - 603*k - 26. Give y(-18).\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*z + 7*z - 2*z**3 - 16*z.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u*u**(-10)*u*u))**(-37)\/(u**(-2\/53)\/(u\/(u**20\/u))))**(1\/9) assuming u is positive.\nAnswer: u**(-16640\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of -64 and 245.\nAnswer: -15680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -284 = -2*f + 6*f - 4*x, 4*x - 354 = 5*f. Let m = f + 363. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*(-3252)\/648 - (-16)\/432.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -45745385*r**3*z**3 + 13*r**3*z + r**2*z**2 - 4599*r**2*z + 16*z**2 wrt z.\nAnswer: -274472310*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 greater than or equal to 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 - 6. Suppose 4*q - 529 = -3*b, -g*b = 2*q - 4*q + 270. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 401478871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-2)*3 - (-3)\/(-4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 91 + -83. Let u(m) = -2*m + 17. Let i be u(b). Solve -i = -4*l - 21 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 7\/14 - (-2)\/4. Suppose -2*r + 2 = 38. What is the tens digit of (-3 - r) + 3\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55 = 7*k + 5*q, 232*k + 10 = 234*k - 5*q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**3 - t**2 - 13*t - 31. Let x be c(5). What is the closest to 2\/7 in -0.2, 0.08, x?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:10 AM and 12:27 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*g**5 + 717895*g**3 - 32*g**2 - 28605*g - 5 wrt g.\nAnswer: -40*g**3 + 4307370*g - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 204.302 + -213.2. Let d = 0.112 - o. Let y = d + -9. Is 3\/5 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((i\/i**9)\/i)\/i)**(-4\/3)\/(i\/i**12)**(2\/89))**(-13\/5) assuming i is positive.\nAnswer: i**(-47138\/1335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 i, and 1 r when three letters picked without replacement from {i: 1, a: 1, j: 3, r: 9, n: 2, c: 3}?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 1\/13, -1, -5, 0.06, 5, -63?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4 and 106.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -135b5 (base 13) in base 5?\nAnswer: -2124040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -19*14\/(-2660) + (-38)\/80?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 6 = h - 2*w, -2 = 2*w. Suppose 3*l + l + h*t = 80, 3*t + 84 = 5*l. Calculate the smallest common multiple of 6 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18778?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2048.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 44 + -14. Suppose -3*b + 0*b + k = c, 4*b - 21 = 5*c. Calculate the remainder when b is divided by -1*3 - (-6)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 124370190 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0\/4 - -1) + 32. Suppose -q = -x + 3. What is the highest common factor of x and 288?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z - 44 - 36 = 0. Suppose 2*h - 4 = -2*q, 0*q = -5*h - 3*q + z. Solve -7*m - 5 = -h*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 5*m = 13, 2*m - 1 = -2*r - 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.08 - 35.8.\nAnswer: -35.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lgaap. Give prob of sequence gal.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(95) + sqrt(95) + (sqrt(95) - (sqrt(95)*-1 + sqrt(95)))*1 + sqrt(95))\/(-2*sqrt(5)*2) - (sqrt(19) + -1*sqrt(95)\/sqrt(5) - (-4 + sqrt(304))**2).\nAnswer: -33*sqrt(19) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = 12 + 3. Let k = 2 - 2. Suppose k = 2*o + 7 + 1. Put 4, o, j in descending order.\nAnswer: 4, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -152.7 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 17*w**5 - 18*w**4 - 5*w**3 + w**2 + 5*w - 5. Let b(d) = -42*d**5 + 45*d**4 + 12*d**3 - 3*d**2 - 12*d + 12. Let a(j) = -5*b(j) - 12*h(j). Factor a(u).\nAnswer: 3*u**2*(u - 1)**2*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -24 - 13. Let n = -37 - p. Let c be 2\/92*804\/6 - 3. Which is greater: n or c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 5*f - 1. Let p(w) = -17*w + 1. Let h(m) = -19*m + 1. Let y(v) = -6*h(v) + 7*p(v). Calculate 3*a(l) + 2*y(l).\nAnswer: 5*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16 - (22 + -37 + 23).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-9 - (2 - 6))\/(3*4\/(-12)). Let t(a) be the third derivative of 18*a**2 - 1\/30*a**j + 0*a**3 + 0*a**4 + 0 + 0*a. Let h(k) = -7*k**2. Give h(t(z)).\nAnswer: -28*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-16) + (-2)\/8\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -522 divided by -3\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, -9212, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 631197 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 37, 3, 1\/9, 1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 4283.4262 to the nearest one hundred.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16 + 2*o + 65 - 4*o to d + u*o and give d.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -157437 times 0.17?\nAnswer: -26764.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(70)\/(sqrt(42)\/sqrt(6)) - sqrt(100)\/(sqrt(10)*2))\/((sqrt(500) + (sqrt(500)*1*-5 - sqrt(500)) - sqrt(500) - sqrt(500))*-2))**2.\nAnswer: 1\/39200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 + 0. Let i(f) = -f + 9. Let t be i(-2). Let w be (4\/m)\/(t\/(-33)). Solve -2 = -z + w*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 416 divide 232513924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -10*a + 11*a. Let l be ((-30)\/21)\/(-3 - 60\/a). Calculate the highest common divisor of 6 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 - -5. Let i = x + 0. Which is the third biggest value?  (a) -1\/5  (b) -0.5  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7772\/11 - -704. Find the common denominator of b and 8\/10*(-1050)\/(-940).\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -76 - -135. Suppose w = -5*h - 11. Let v be (-1)\/(-5)*(-9 + h). Which is greater: -5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4*(-48)\/(-128))\/(-18)*212.\nAnswer: 53\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 78370768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Is 1148628 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*p + 144 - 144.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**4 + u**2 - 1. Suppose 22*r = 17*r - 5. Let o(w) = -22*w**4 - 8*w**2 - 3. Let k(v) = r*o(v) + 3*c(v). What is the third derivative of k(h) wrt h?\nAnswer: 456*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -2, 1, 25, -1766, 2 in ascending order.\nAnswer: -1766, -2, -1, 1, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + (-87)\/(-29) - 189\/(-9)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 3) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 50\/4*56\/35. Let q = -14 + v. Let n(t) = t**2 - 7*t + 8. Determine n(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2800?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 896775 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -2 + 4 - 4*h**2 - 2. Let b(i) = 5*i**2. Give b(f(g)).\nAnswer: 80*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/((-9)\/(-3) + -4). Suppose -144 + 45 = -u*i. Suppose -4*r + 75 = -i. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 38*l. Let f(b) = 307*b - 153*b - 153*b. Give q(f(z)).\nAnswer: 38*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 234 = -76. Calculate the remainder when a is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that 2*j**4\/5 - 14*j**3\/5 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 5  (b) 2\/5  (c) 4  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) 66  (c) -3  (d) 1\/4  (e) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**2 - 1. Let y(o) = -o. Let a(b) = 5*b**2 - 5*b + 8. Let j(d) = -a(d) + y(d). Let k(l) = j(l) - 6*s(l). What is the units digit of k(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -98, -0.2, -2, 1\/3.\nAnswer: -98, -2, -0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 + -5. Suppose 3*h + 4*z - 89 = 0, 2*h + f*z - 31 = h. Suppose 2*d - h = 9. Solve -10 - d = 2*y + 5*o, -y = 3*o + 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve p = -7*a + 46, -3*a - 130 + 152 = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 40 + 35*n - 13 - 83*n.\nAnswer: -48*n + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 3*i - 28 = 0. Let h be (1\/((-15)\/(-48)))\/(1\/20). Let g = i + h. What are the prime factors of g?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 2*n**3 + 13*n**2 - 9*n - 5. Let o be d(-7). Suppose 3*j + g = 4*g + o, -9 = -3*j - 4*g. Solve j*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 510157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/7?  (a) -366  (b) -14\/5  (c) -2  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -110*s**2 - 21*s**3 + 110*s**2 + (-2 + 2 + 2)*(4*s**3 + s**3 - 6*s**3) - 3*s**2 + 3*s**2 + 2*s**3 + (0*s**2 + 0*s**2 - s**2)*(-2*s + 0 + 0).\nAnswer: -19*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n + 535 = 14231. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkkkk. Give prob of picking 4 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83381 is divided by 31.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 12332925 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(1100) - 1*-2*sqrt(1100)) + 0)**2.\nAnswer: -120*sqrt(11) + 9904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1200022022 (base 3) to base 16.\nAnswer: -8105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 94378 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(68)\/(sqrt(4)*1*1).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 918736780?\nAnswer: 2, 5, 13, 17, 12227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - 5088?\nAnswer: -508b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.0527779 < 1.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - 42101?\nAnswer: -42065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b - 0*b - 2*d + 16, 5*d = -b + 24. Let l be (-10 - -13) + b + 1. Suppose -4*r = -l, -6*m + r = -3*m - 4. Solve m*t + 2*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 138 and 132?\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.5 - 0.4. Suppose 3*a - 24 = -a. Let n be 0 + (-1)\/(1 - a). What is the nearest to d in 1, n, 3\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1046502 by 174417.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7271248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -3*m - 5 - 2*m**3 - 3*m + 35*m**2 - 36*m**2. Let q(d) = -d - 1. Determine 2*c(k) - 10*q(k).\nAnswer: -4*k**3 - 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 77754.1ng?\nAnswer: 0.0000777541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**3 + 3*v**2 - 12*v + 9. Calculate o(4).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes after 1:53 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand a + 3*a - 5*a + (-3*a + 4 - 4)*(0 - 2 + 4) + a - 3*a + 0*a.\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 150 - 41. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**2 - 2*s - 1. Let d(l) = -238*l**2 + 12*l + 6. Give d(q) + 6*f(q).\nAnswer: -232*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * 163.\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 18 = -g. Suppose -w + 27 = g. Suppose -4*b - w*l = 17, b + 2*l + 2 + 6 = 0. What is the least common multiple of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from jlll?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5106145*w**4 - 7210370*w wrt w.\nAnswer: 61273740*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -14.092191801 and -0.2.\nAnswer: -14.292191801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + (-3 - -15) - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 226655680 divided by -11756?\nAnswer: -19280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 261087 by 29.\nAnswer: 9003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -160*n**2 - 2 + 15*n - 5*n - 518*n**2 + 2.\nAnswer: -678*n**2 + 10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 44\/555 - -2\/37. Let t(c) = -3*c**2 - 3*c + 3. Let l be t(-2). What is the biggest value in l, q, -1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/1)\/(-36)*4.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3267 (base 9) to base 11\nAnswer: -18a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 52\/6*24\/(-16). Which is smaller: -14 or t?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**3 + 8*f**2 + 4*f - 8. Let v be d(-7). Let l be v\/(-1 + (-4)\/(-3)). Let y = l + -22. Calculate the highest common divisor of 17 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes before 8:22 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1621\/1062 - -14\/531. What is the fourth smallest value in 5, -0.1, b, -16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 - -10.5. Let j = -2.5 + r. Which is the closest to 0.1?  (a) 0.4  (b) 1  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1617\/14*(-4)\/(-2). Calculate the highest common divisor of r and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 14400002\/12 - ((-68)\/(-24))\/17. What is m rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 417330 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 21c + -20?\nAnswer: 1ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -790931  (b) 1\/3  (c) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 + 3. Let s = -0.02 - 0.18. Let x(t) = t**2 - 3*t + 3. Let l be x(3). What is the third smallest value in l, s, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 43?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 23*c*f**3*o**2 + 2*c*f**3 + 10*c*f**2 - 106*c*o**3 - 3*f**3*o**3 - f*o**4 wrt o.\nAnswer: -636*c - 18*f**3 - 24*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(1\/9)\/v)**(1\/65)\/((v**(-3\/4)*v*v)\/(v\/v**(-4))) assuming v is positive.\nAnswer: v**(8743\/2340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5.17 and 0.2?\nAnswer: -1.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.84 less than 3919513?\nAnswer: 3919515.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11 and 987.\nAnswer: 10857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*c - c**3 - 9 + 9)*(-2 + 2 - 2*c)*(-4 + 2 + 1 + (-2 + 0 + 1)*(-5 - 8 + 3)) in the form s*c**2 + w*c + x + p*c**4 + j*c**3 and give s.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 576*g - 89. What are the prime factors of y(2)?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 64*a**5\/3 + 2864*a**4\/3 + 3332*a**3 + 6433*a**2\/3 + 1520*a\/3 + 41 = 0.\nAnswer: -41, -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 5*l - 41 - 22 = 0, -4*l - 12 = 0. Let s(q) = -q**3 - 13*q**2 - 15*q + 16. What is the units digit of s(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 + -10. Let y = -5 + 7. Which is the nearest to y?  (a) 5  (b) w  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -96 + 231. Let a = -80.5 + j. Let r = 42 - a. What is r rounded to zero decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand s - 5*s + 5*s + (-1 - 2 + 2)*(-9 + 146*s - 69*s - 70*s).\nAnswer: -6*s + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.641677 decades in centuries?\nAnswer: 0.0641677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.04 and -15.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**2 - 11*k + 17. Let y be a(-12). Suppose 18 = 6*g - y*g. Does 17 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(-6) - 126112\/(-24). What are the prime factors of (a\/(-30) - 7)*-6?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23.04118 minutes in nanoseconds?\nAnswer: 1382470800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 230 and 69?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -9, -23, -53, -105, -185, -299, -453?\n\"Answer: -j**3 - 2*j**2 - j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -2*g - 11. Let x be h(-5). Let l be -46*3*x\/6. Suppose 3*d - 1 - l = 0. Calculate the greatest common factor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {w: 10, s: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**3 + 2*v**2 - 1. Let n be c(-1). Let p be -4 + -1 + (-1 - (0 - 2)). Sort n, p, 1 in decreasing order.\nAnswer: n, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32.44508nm in micrometers?\nAnswer: 0.03244508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -337510988\/11 or -30682817?\nAnswer: -337510988\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**2 - 42*w - 39. Let s(v) = -3*v**2 + 81*v + 77. Let b(j) = -4*s(j) - 7*y(j). Factor b(q).\nAnswer: 5*(q - 7)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 861\/832?\nAnswer: 861\/832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -41 + 59. Suppose -x + 2*x = 8. Suppose -d = -2*p - x. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -w**2 - 4*w - w**2 + 4*w + 133155566 - 133155566.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.8443421 micrograms?\nAnswer: 0.0000000008443421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*y**2 - y + 5*y + 0*y - 37*y**2 - 2*y.\nAnswer: -27*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1\/(-3))\/(3 + (-310)\/105). Put -2, -1, 3, p in increasing order.\nAnswer: p, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 162884*h + 488745. Determine r(-3).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the second derivative of 6*y + 0 + 0*y**4 + 7\/3*y**3 + 0*y**2 - 3\/20*y**5. Find the second derivative of v(u) wrt u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33987*y - 41 + 41.\nAnswer: 33987*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((y\/y**2)\/(((y\/(y**7\/y))\/y)\/y))**5)**(-11\/8))**33 assuming y is positive.\nAnswer: y**(-5445\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Do -2 and -6221436 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**3 - 1188*q**2 - 50380*q + 375. Give a(-41).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vyvyvvvv.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 754 and 290?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -t + 3*t. Does 14 divide ((-3)\/(-2))\/((27\/1038)\/t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (20 - 3627\/180)\/((-1)\/224). Factor -v*j + 36\/5 + 196\/5*j**2.\nAnswer: 4*(7*j - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 2*q**3 + 48*q**2 - 32*q + 450. Give a(-25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9.6 + -10. Which is the third biggest value?  (a) -4  (b) z  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -3*c - 6. Let t be 2\/((-9)\/c + -1). Suppose -b - 3 = 5*k, 4*b - k + 2*k = 7. Solve b*p + 8 + 15 = -5*l, -l - t*p = 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l + 0*l - 2*l)*(-4 + 4 + l) + (5*l + 6*l - l)*(2*l + 2 - 2) - l**2 - l + l - 2*l**2 - 6*l**2 + 3*l**2 + l**2 + 0*l**2 + l**2.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -2*r, 2*q - q = -2*r + 34. Let n = -25 - -61. Calculate the highest common divisor of q and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 491047 is divided by 490905?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0*4418.2514\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1280639 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 8*y**3 + 8*y**2 - 347*y - 1051. Calculate u(-3).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 66 and 704?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (2 + -6 - -1) + 7 - 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 1 = -10. Let d(q) = 12*q - 34. Let s be d(n). Suppose -c - 5*u = 3*c + 123990, s*u = c + 31004. What is c rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.21  (b) 15  (c) -1942\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the second derivative of -g**6\/60 - 9*g**5\/20 + 13*g**4\/8 - 5*g**3\/3 + 695*g - 1. Solve l(m) = 0 for m.\nAnswer: -20, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -3 + sqrt(125))*-1.\nAnswer: -5*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -433  (b) 1.46  (c) -0.4  (d) -0.614\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 3 = 3*g, 0*q + 5*g + 31 = 2*q. Solve -3*l - 4*c = -q, 5*c + 3 = 5*l - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 300 = -5*v + 5*i, -2*i = v - 63. Suppose v*m = 65*m - 140. Solve d + m = 5*b + 13, -8 = 4*d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 - -3. Does 21 divide 39 - (q + 0\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -55 - (-57 - -32) - -36.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3689 is divided by 77?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 251*d**2 + 5*d**3 - 1 + d - 4*d**3 - 253*d**2 to c*d**3 + q*d**2 + v*d + s and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 + -1143531?\nAnswer: -1143534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes after 10:29 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -336174*c**2 + 4*c + 0 + 337304*c**2 + 2 to i*c**2 + h*c + n and give i.\nAnswer: 1130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 64618711799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*m + 36 = 38*w - 34*w, 0 = 3*m - 5*w - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/1639 and 101\/364454.\nAnswer: 4008994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-h**2 + 2*h**2 - 2*h**2)*(-3 + 3956*h + 3227*h + 2 + 214*h) as g + a*h + w*h**2 + z*h**3 and give z.\nAnswer: -7397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3\/2 - 0. Let u(m) = m**3 - m**2 + 1. Let x be u(-1). Which is the nearest to j?  (a) -0.5  (b) x  (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + d = -d + 8, 5*d = 10. What is the third smallest value in f, -0.08, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9224060.\nAnswer: 2, 5, 59, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 128 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) 582  (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 5  (b) -0.42  (c) -0.5  (d) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppppmpmmpipmppii. Give prob of sequence ppp.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oqqdqdoooxxdoox. What is prob of picking 2 d and 2 o?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/2, -3, -202, 2162 in decreasing order.\nAnswer: 2162, 3\/2, -3, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3\/6)\/((-1)\/(-38)). Suppose 3*x + 2*s = 12, -2*s - 1 - 5 = 0. Solve 5*o + n = -x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -174 + 382. Suppose -f = 3*f - 5*i - 10, 0 = i - 2. Suppose 63 = -f*k + j. What is the remainder when k is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1840 - 1357. Calculate the remainder when u is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 61, 3, -58, -1.\nAnswer: -58, -1, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -153*q + 151*q + 5*c + 31749 = 0, 4*q - 2*c - 63426 = 0. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1541 = -76*q + 23*q + 534 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p + 2*a - 20, -28 + 2 = p - 5*a. Does 8 divide (4\/p*14)\/((-1)\/24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 9*t**3 + 12*t**2 - 39*t + 127. What is j(6)?\nAnswer: 2269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 183 and 1582?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 326338450?\nAnswer: 2, 5, 29, 225061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*i + 12*i + 4 = -10*i - 2*w - 14, -12 = -2*i - 2*w for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10762 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (18\/(-10))\/((-214)\/1070)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 2 + 1 + 76\/(-20).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1494 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: Is 126741949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -8*w + 3. Let j be s(-5). Let i = j + -21. Suppose y - u - i = -4, -y - 12 = 5*u. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 136645146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -7512.361 to the nearest ten.\nAnswer: -7510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.3  (b) 62  (c) -4\/5  (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*h + 28 = 4*y + 14*h, -36 = -5*y - 4*h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -614, -1628, -2774, -4118, -5726, -7664, -9998?\n\"Answer: -11*p**3 - 937*p + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*j + j**2 - 4*j)*(-14 + 7 - 4 + (-1 - 1 + 0)*(3 - 5 + 3))*(-2 + 2 - 1) to h*j + f + g*j**2 and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 5*c + 15 = 0, 3*c + 6 - 15 = -5*z. Suppose -33*b + 31*b + 248 = z. What is the remainder when b is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (33 - 13 - 3) + -35.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.093 + -7.793. What is w rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 134327000 rounded to the nearest 1000000?\nAnswer: 134000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 22 in -1, 4\/5, 1\/9?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*g**3 + 0*g**3 - 4*g**3 - g + 2*g**3 + g + (5*g + 6*g - 7*g)*(-6*g**2 + 0*g**2 + 4*g**2).\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 112*o + 33 = 4*p + 111*o, 3*p - 3*o = 18 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -5390*y. Let p(u) = 4*u**2 - 10*u + 533. Give p(n(l)).\nAnswer: 116208400*l**2 + 53900*l + 533","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.072 - 0.172. Let r = 2 + -6. Let i = r + 4.3. Which is the closest to v?  (a) i  (b) -3\/4  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -28\/5*k + 176\/5 - 4\/5*k**2.\nAnswer: -4*(k - 4)*(k + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 3, h: 2, v: 2, t: 1, m: 4}. Give prob of picking 1 v, 1 h, and 2 m.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qiqxiqxxxqxxx?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4326146 + 5?\nAnswer: -4326141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 47, 80, 163, 320, 575, 952, 1475, 2168?\nAnswer: 3055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 134352521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 25242 (base 7) to base 3\nAnswer: 100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4743 and 2412351?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 4*s - 4 - 1 = 0, 0 = 3*n - 3*s + 3. Is 2*426*n\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1537259.\nAnswer: 17, 31, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**2 + 1. Let s(o) = 4*o**3 + 5*o**2 + o + 15. What is 5*n(t) - s(t)?\nAnswer: -4*t**3 - t - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -6, 4, 42 in decreasing order.\nAnswer: 42, 5, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 986092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 8 = 0, -3*p + 5*l + 4982 = 1407. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 163764?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69 = -4*i - p - 65, 3*i + 2*p = -2. Solve 11*x + 18 = i*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3411 + 1699 + 1712 + 24180*j + 2457*j)*(-3*j + j + 0*j).\nAnswer: -53274*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -22, 35, 286, 827, 1754, 3163, 5150, 7811?\n\"Answer: 16*h**3 + h**2 - 58*h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 46309803 divided by -2.\nAnswer: -46309803\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 258 + i**3 - 15 + i**2 - i**4 - 56 - 60 as t*i**2 + p + r*i**4 + m*i**3 + v*i and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10 + c + 10)*(c + 0*c + 0*c)*(-2*c**2 + 6*c**2 - 2*c**2).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 771475442?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 10260.19 decades in centuries?\nAnswer: 1026.019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3645 divided by 5?\nAnswer: -729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -2\/7  (b) 5  (c) -3\/2  (d) 0.6  (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 3*n - 18 = 0, 14*a = -5*n + 106 - 98 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand y - y - y + (0*y - 6*y + y)*(0 - 1 + 6).\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyppppyyyypppyypyppy. What is prob of sequence yy?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 5, p: 15}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/4*z**4 + 0*z + z**3 + 0 + 5\/4*z**2.\nAnswer: -z**2*(z - 5)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) 3  (c) -940  (d) 0.4  (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 53 - 29 = 0. Let g be (18\/s + 0\/(-1))*6. Calculate the highest common factor of 171 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16101, -16097, -16093?\nAnswer: -16089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y = -2*w - 4 - 3, -5*w = 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (31130 + 15 + -15)*(-2)\/4. Round s to the nearest one hundred.\nAnswer: -15600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*d - 3*d - 15 = 0. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32392 is divided by 76?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 22640550 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4586 + -13756\/3. Let v = 88 - 159. Is v smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 3*g**2 + 3*g - 4. Let m be y(-2). Let h(n) = 7*n**2 + 3*n + 10. Let p be h(-8). Suppose 0*l + p = l - 3*q, -m*q = -l + 439. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -32.61 times 13.5?\nAnswer: -440.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -34 - -33.946. Let o = 0.05400059 + a. What is o rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-37)\/(-1665))\/((-1)\/(-5))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/6)\/((-136)\/204)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0\/2 - 6)\/((-225)\/30).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 279727406 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10030 and 270810.\nAnswer: 270810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1566 + 1571. Solve m = -5*v + 5*q, 3*v + 0 = 5*q - 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 82 + -56. Let t(u) = 2*u**2 + 9*u + 11. Let x be t(-5). Let h = b - x. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**4 + m**3 - m**2. Let n(i) = -i**4 - 27*i**3 + 23*i**2 + i. Let p(l) = 3*d(l) - n(l). Find the third derivative of p(u) wrt u.\nAnswer: -48*u + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 4*t - 2*t**2 + 3*t - 7*t. Let w(v) be the first derivative of -3*v**2 + 10. Calculate w(r(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 845, 843, 841?\nAnswer: 839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i + i - 201 = j, -53*i + 106 = -51*i - 36*j + 10*j for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jo when two letters picked without replacement from djjdpdpojoqdppjp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 246 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1 + (-36)\/(-28))\/((-9)\/(45\/(-10))). What is the smallest value in -0.2, 2\/15, p, -5, 1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1963, -3907, -5851, -7795, -9739?\nAnswer: -11683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 534.0237 millimeters in centimeters?\nAnswer: 53.40237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 427 - 4?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-14)\/(-10) - 1) + (-360)\/650. What is the closest to -1 in -1, 0, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -9, -37, -115, -267, -517, -889, -1407, -2095?\n\"Answer: -4*t**3 - t**2 + 3*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:50 PM and 7:44 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-10)\/18)\/(2\/(-6)). Let b = -8 + 7.7. Let d = -0.30523 + -0.69477. Put d, q, b in decreasing order.\nAnswer: q, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 81 and 891?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 34489214 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.6 + -0.1. Let u = -3.18 + 3.28. What is the nearest to 1 in v, u, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3155461 (base 7) to base 9.\nAnswer: 644317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.87*0.5.\nAnswer: -0.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a + 0*a + a)*(-3*a + 3*a + 2*a**3)*(-4*a - a + 2*a) + a + 7*a**5 - a.\nAnswer: a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 134 = l - 6. Is 20 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -3*c - 11, -c - 3*c - 78 = -5*b. Let y(i) = 2*i**2 + 2. Calculate the smallest common multiple of y(3) and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g + g. Suppose -5*q = -5*s + 3*s + 60, g = 4*s + 2*q - 72. Let u = 43 - s. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -132*f + 25467*f**2 - 25463*f**2 + 6*f.\nAnswer: 4*f**2 - 126*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 1 + 6)*(2*w - 6*w + 3*w)*(-23*w + 53*w + 109*w) to the form j + i*w**2 + c*w and give i.\nAnswer: -556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -5049 divided by -265?\nAnswer: 5049\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 500 a factor of 2774832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -11, -25, -39?\n\"Answer: -14*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13074437.\nAnswer: 71, 107, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, y: 4, d: 3, m: 1}. What is prob of picking 1 s and 1 d?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -1512*l**3 - 5*l**2 - 9*l - 19. Is p(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from expeexpppnppeepneep. What is prob of picking 1 e, 2 x, and 1 n?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 2, u: 5, g: 8}. Give prob of sequence jugj.\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 117, 124, 131, 138, 145?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5, -2\/9, 834154, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 27*k - 109. What are the prime factors of c(14)?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/9 - 10\/36. Let u = -26 - -24.3. Let h = 0.7 + u. Which is the nearest to -0.1?  (a) -2  (b) h  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) -2\/7  (c) 1\/2  (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9592890 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -27*k - 1. Let t(b) = 40*b + 2. Determine -7*g(c) - 5*t(c).\nAnswer: -11*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -110100111 + -221?\nAnswer: -110101102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**3 - 5*b**2 - 5*b - 5. Suppose -5*u = 2*y - 60, u + u + 4*y = 24. Suppose 5*f = -u - 8. Let n be q(f). Sort 3, n, 2\/7 in decreasing order.\nAnswer: 3, 2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 25*r**2 + r + 46. What is the tens digit of c(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2 + 3 - (3 - 2). List the prime factors of 25 + 1 + -3 + c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*y**3 + 0*y**2 + 0*y**2 + (-3*y**2 + 3*y**2 + y**2)*(-3*y + 4*y - 2*y) - 2*y**3 - y**3 + 4*y**3 + 5*y**3 - y**3 + 2*y**3 + 2 + y**3 - 2.\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-153)\/6)\/3*(2 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -33, 20, 161, 432, 875, 1532, 2445, 3656?\nAnswer: 5207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 741888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -11*q + 405. Let b be l(7). Suppose -3*k + b = -1592. Does 80 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 185663979 or 185663980?\nAnswer: 185663980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 21\/6*1\/14*8. Suppose 0 = 5*y - m*d - 17, 4*d = y - 7 - 0. Solve -4*j + 17 = -y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:06 PM and 11:23 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 22 and 429?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-6 + 0 + 2)*(-1 + 3 - 1) + 0 + 0 - 1)*(349*b + 148*b - 752*b).\nAnswer: 1275*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -2*d**3 - 6*d**2 - 11*d - 1. Let h(f) = -3*f**3 - 12*f**2 - 21*f - 1. Let o = -54 - -51. Let u(j) = o*h(j) + 5*t(j). Calculate u(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 389 - 926. Let i = 697 - -63. Let y = i + v. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 318 + -147. Suppose -t = -25*d + 229. What is the remainder when 41 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.1 and -0.04894?\nAnswer: 0.14894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4433745671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ymx when three letters picked without replacement from {x: 2, m: 4, u: 1, y: 2, q: 2, n: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h + h - h**2. Let c(y) be the second derivative of -2*y**3\/3 - 75*y**2\/2 + y - 25525. Give c(o(d)).\nAnswer: 4*d**2 - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/793637 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*3 - (-4 - -3). Suppose -35 = 2*d + 5*g - 178, -3*d = 5*g - 207. Let i = d + -59. Solve 0 = -i*t + 3*z - 14, 7*t = 3*t - a*z + 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49458.2989 rounded to the nearest ten?\nAnswer: 49460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9*o**2*z**3 + o**2*z - 242*o**2 - 219*o*z**3 wrt z.\nAnswer: 54*o**2*z - 1314*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31686 + 37053 = 2083*b for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 665307 a multiple of 601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 149, -0.05 in decreasing order.\nAnswer: 149, 2, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -91\/620754 and -89\/24.\nAnswer: 2483016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/38477257 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**3 - 3*l**2 - 3*l - 2. Let k be n(3). Let y(p) = 2 + 8 + 2*p - 10. Let f(z) = 6*z. Let i(v) = k*y(v) + 4*f(v). Let h(j) = j. Calculate h(i(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -15*z. Let r(g) = -602*g**2 - 1. What is s(r(w))?\nAnswer: 9030*w**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 8*c**2 + 3313*c. Let b(v) = 3*v - 296. Determine b(a(s)).\nAnswer: 24*s**2 + 9939*s - 296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -412, -1652, -3528, -5884, -8564, -11412?\nAnswer: -14272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o**3 + 0*o**3 + 4*o**3)*(-12 + 12 + 1)*(-o + 2*o + 4*o) + (-1 + 2*o + 1)*(5*o**3 + 0*o**3 - 2*o**3).\nAnswer: 11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -5, 0, -3, 1318, 3 in decreasing order.\nAnswer: 1318, 3, 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 56 and 294?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 5*w**3 - 4*w**2 + 2*w - 8. Let d(u) = -4*u**3 + 3*u**2 - 3*u + 7. Determine 3*d(h) + 2*m(h).\nAnswer: -2*h**3 + h**2 - 5*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 14 + 2037.\nAnswer: 2051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**2 - l. Let q be z(-1). Suppose -4 - 4 = -q*h. Suppose -r + 5*r = 4*y - 48, 84 = 5*y + r. Solve -h*s = 4*d + 36, -8*s + d - y = -4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**2 - 4*m - 2. Let i be q(5). Let a(o) = -10 - 4*o**2 + o**3 + 14 + 0*o**2. What is a(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -165 - -165. Let o be (-4)\/8*(-1)\/(-2). Which is the nearest to r?  (a) 2\/7  (b) o  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1320*m**3*u + 230*m**3 + 61*m**2*u + 2*m**2 + m*u + 8*u + 19 wrt m.\nAnswer: -7920*u + 1380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -2*l**3 - 65*l**2 - 132*l - 10. Let n be c(-30). Which is greater: -547 or n?\nAnswer: -547","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 71150 and 425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1376066 and 188?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*c**3 - 78596*c**2 - 386279616*c - 1929433680.\nAnswer: -4*(c + 5)*(c + 9822)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhhhh. What is prob of sequence hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -138*a**2 - 104*a**2 - 70*a**2 - 1355*a**2 - 1303*a**2 to the form t + h*a + d*a**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -8 and -0.059?\nAnswer: 0.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -104.342 times 7?\nAnswer: -730.394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-f + f - 2*f + (5 + 3 - 6)*(1 + 3*f - 1))*((-3 - 2 + 3)*(1 - 2 + 4) - 2 + 1 + 0) in the form z + b*f and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -25 + 26 + 53. Solve 56*l - 65*l + u = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -5*o. Let h(d) = 2*d + 6959. What is h(w(f))?\nAnswer: -10*f + 6959","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 28000 by -5600.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -121\/20 and -33\/189934.\nAnswer: 1899340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -8, -5 in ascending order.\nAnswer: -8, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -188.368 - -0.368. Let j = -187.5 - b. What is the nearest to 0.1 in j, -0.02, -1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20 + -1 + -17 + (2 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -2*o - i - 2, -i = -o. Solve -3*l = -o + 14 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 3*k + 28. Let d(s) = 24*s + 198. Let g(r) = -2*d(r) + 15*f(r). Let v be 19\/1*(0 - 1). What is the tens digit of g(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(2 + (0 + -3 + 1*sqrt(2) + sqrt(2) + sqrt(2) + -4*(sqrt(2) + 1))*2))**2.\nAnswer: 1728*sqrt(2) + 5472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 9, -2, 174, -3 in descending order.\nAnswer: 174, 9, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aawzwaawazncwaca. What is prob of picking 2 a and 1 w?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q**(-2))\/q*q*q*q)**15*(q**(1\/4))**(-8))\/((q\/(q*q**(-2\/11)))**(-2\/5))**(3\/13) assuming q is positive.\nAnswer: q**(9307\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 40.2, 7 in decreasing order.\nAnswer: 40.2, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 17605445 to the power of 1\/2, to the nearest integer?\nAnswer: 4196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -434 divided by -31.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/((-2)\/4) + 7. Suppose -9*l = -o*l - 464. Suppose 0 = h - 5*h + l. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*i**3*n**3 - 3*i**3*n**2 - 51*i**2*n**3 + 2843*i*n**2 + 31*n**4 wrt n?\nAnswer: 12*i**3 - 306*i**2 + 744*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -8  (b) 0  (c) -2\/19  (d) -139  (e) -1\/2  (f) -5  (g) -15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-34804)\/(-484) - (110 - 38)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1167950.\nAnswer: 2, 5, 7, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 5, -0.13, -188, -600?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w\/(w*w**(-2\/5)*w)*w)**(-1\/3)*(w*w**(-6\/11))\/((w**(-13)\/w)\/w) assuming w is positive.\nAnswer: w**(2473\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3.5, 0.034, 13, -3\/652?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -70.1562 - -481\nAnswer: 410.8438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 385115274 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -81*z + 69*z + 22560. List the prime factors of z.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-236)\/(-8) + (-3)\/(-6). Suppose 3*u - 20 = u. Calculate the highest common factor of u and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - z - z + 2 = 0, -f - 5*z = -5. Let l be (-6)\/(-6)*(f + -12). Let r be 2*1 - (-20)\/l. Which is smaller: r or 1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*a - a**2 - 7*a + 4*a - a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1047, -8276, -27907, -66144, -129191, -223252, -354531, -529232?\nAnswer: -753559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(125) - sqrt(5)) - sqrt(20)\/sqrt(36))**2.\nAnswer: -22*sqrt(5) + 686\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, -1\/8, 5, 36, -3, 0.069 in increasing order.\nAnswer: -3, -1\/8, 0.069, 2\/5, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*k**3 - 1 + 1)*(3*k + 3*k - 4*k + (3*k - k + k)*(-1 + 1 - 2)).\nAnswer: -28*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-12)*-2 - ((-124)\/(-217) + (-1000)\/(-14))\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 2 z when three letters picked without replacement from zzzrrrq.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 11 - (87 - 74)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -16.691 - 1.474. What is u rounded to one dp?\nAnswer: -18.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8140961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 - (2*2 + 52 + -51). Suppose w + 8 = 2*b - 2*w, 4 = w. Let k be (2\/b)\/(2\/(-45)). Which is smaller: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -a**4 + 3*a**3 - 3*a**3 + (-a**4 + 0*a**4 + 2*a**4)*(-5 + 6 + 3).\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 39091 or 16679?\nAnswer: 16679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/3?  (a) 458  (b) -1  (c) 0.5  (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5718939, 11437879, 17156819?\nAnswer: 22875759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5156750 divided by -41254.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 26, 99, 294, 671, 1290, 2211, 3494, 5199?\n\"Answer: 10*u**3 + u**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 1228*s**2 + 7*s + 7. Suppose r - 18 = -3*t, 2*t = -5*r - 11 + 49. Let y be z(r). Let w = -257 + y. Round w to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.4, 0, -0.098?\nAnswer: -0.098","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -628*i**4 - i**3 - 4*i**2 - 36*i + 1677?\nAnswer: -7536*i**2 - 6*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3798405 to the power of 1\/2, to the nearest integer?\nAnswer: 1949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 + 3. Solve m + p = 8, 3*m - 9 = -p + u*p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the third derivative of u**8\/84 - 2*u**7\/35 - 29*u**6\/30 + u**5\/5 + 14*u**4\/3 - 16*u**2. Determine m, given that h(m) = 0.\nAnswer: -4, -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the third derivative of i**8\/21 - i**7\/105 + i**4 + 10*i**2 + 3. Find the second derivative of b(p) wrt p.\nAnswer: 320*p**3 - 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/(t*(t\/t**(-18\/7))\/t)*t*t*(t\/t**(-1))\/t*t assuming t is positive.\nAnswer: t**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*z = -k - 35*z + 4186, -4159 = -k + 5*z. What is the thousands digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1218 and 827918?\nAnswer: 72028866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2210332 (base 6) to base 10.\nAnswer: -110288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 146859?\nAnswer: 3, 48953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 158*x**3 - 177*x**3 + 373*x**3 + 62 - 58 in the form d + n*x + y*x**2 + h*x**3 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1963 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2907 and 193736369?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + (-275 - 1\/(-10)*0)\/(-23).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 39118896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 52 + -45. Solve -3 = -2*q + l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**2 - 9*t - 20. Let d be y(-6). Let l be 896\/12 - d\/6. What is the tens digit of -3 + l + -3 + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -960 + 820. Do m and -139 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -60*t + 51. Let a be u(3). Let x = 131 + a. Let b(h) = 7*h - 2. What is b(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 32070447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 - 96761?\nAnswer: -96756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4*(-2)\/(-16))\/(-1)*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6876038?\nAnswer: 2, 13, 264463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 5*o**3 - 3*o**2 - 10680*o + 21373. Calculate u(2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p - p = 3*i - 8*i - 7, -18 = -3*p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 4874.9?\nAnswer: 4876.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.379888*-0.24.\nAnswer: 0.09117312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 0, -53, 5 in descending order.\nAnswer: 5, 0, -2, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 97944 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h + h + 4*h + 7*h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -119*j - 623 - 686 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83*g - 2485 = -76*g. List the prime factors of g*4*((-2)\/8)\/1.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 282 divided by -1?\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 14\/8138629?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 20260 + -20085. Which is smaller: r or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 5*o + 7. Let v be x(2). Suppose v*d - 5822 = 570. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -19 + 19. Suppose b = 3*w - 3*s + 69, 3*w = -w + 5*s - 89. Let y = -24 - w. What is the least common multiple of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 128 is divided by 108?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-26)\/(-3)*1\/(4\/6). Sort 1, -3, -4, -1, a in ascending order.\nAnswer: -4, -3, -1, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 17531, 34680, 51829?\n\"Answer: 17149*v + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/5, 0.5, -3, 35\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2205471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 728 and 55874?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*z - 2*b + 371 - 368, z - 12 = 3*b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 22  (b) -4  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-13*z - 12*z + 5*z)*((-23 + 38 - 22)*(2 + 0 + 0) - 2 + 2 + 2) - z + 4*z - 5*z)*(-2*z**4 - 3 + 3).\nAnswer: -476*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1962 - -1964. Let f(a) be the first derivative of 0*a + 3\/2*a**h + 16. Let t(n) = 2*n**2. What is t(f(r))?\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the second derivative of -o**6\/60 + 14*o**3\/3 - 12*o. Let u(t) be the second derivative of y(t). Let i(z) = 3*z. Calculate i(u(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/(-15) + -4 + 4. Let j = 2.15 + 2.84. Let q = 0.01 + j. Sort q, -2, g in descending order.\nAnswer: q, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4050 and 620.\nAnswer: 251100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n - 3 + 7. Suppose -n = 2*a - 6. Calculate the remainder when (a - -3)\/(-5) + 32 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the third derivative of 1\/2*x**3 + 0*x + 8*x**2 + 1\/8*x**4 + 0 - 1\/60*x**5. Does 2 divide g(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u = 4*r + 21 + 16, -3*r = 3*u - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 5. Suppose 5*f - 9*f - 12 = 0. What is the closest to 3\/5 in -3\/7, j, f?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 3 - 1)*(-2 + 1 + 0)*((-2*o + 3*o + 0*o)*(4 - 1 - 5) + 0*o - o + 2*o + 7*o - 7*o + 9*o) to y + k*o and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 415*p**3 + 5*p**2 - 16*p + 2. Let n(z) = -418*z**3 - 6*z**2 + 20*z - 3. Calculate 5*h(l) + 4*n(l).\nAnswer: 403*l**3 + l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-36358)\/(-76) + 6\/57)*48\/36 is divided by 225.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 430 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13 + 9. Let i = 3.8 + s. Let g = -0.2 + 0.3. What is the nearest to -0.1 in g, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -37\/76 + 14\/19. What is the third biggest value in 0.3, d, 0.4, 1\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.06118 and 3.\nAnswer: 0.18354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) -1\/2  (c) 26  (d) -1  (e) -12\/119\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*b - 2*b + b)*(45 + 62 - 35) - b + 1 + 0*b - 4 to w*b + q and give w.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 124\/(-54)*3\/(-14) and 12 + -7 - (-136)\/(-144)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -35\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2952*m - 139889 = 34279 for m.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2112 = -86*t + 278*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:27 PM and 2:52 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 12.1174  (b) -1.5  (c) 1\/5  (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 106158000 to the nearest 100000.\nAnswer: 106200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = 2*u + 2798, -2*u - 1060 = -z - 362. What is the greatest common factor of 40 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*q**4 + 20*q**3 + 4*q + 2 - 20*q**3 + 1 as a*q**4 + g*q**3 + b*q + v*q**2 + k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 + 12. Let d = 7 - 9. Which is the nearest to 2\/5?  (a) 0  (b) h  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 5*p**2 - 7448. Let w(y) = -9511*y. Calculate w(j(s)).\nAnswer: -47555*s**2 + 70837928","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -14*f**3 + 8*f**2 - 9*f - 17. Let t(v) = 9*v**3 - 5*v**2 + 6*v + 11. Let i(w) = -w**2 - 3*w + 3. Let n be i(-2). Determine n*y(r) + 8*t(r).\nAnswer: 2*r**3 + 3*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21832?\nAnswer: 2, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/75 of a day in seconds?\nAnswer: 4608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 486*j**3 - 127*j + 252*j - 125*j.\nAnswer: 486*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 682610311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 6 = 5*n. Let k be 3 - ((-1)\/(-1) + n). Suppose k = b + 30 - 0. What is b rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6808318.\nAnswer: 2, 11, 309469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeeyenrjeeenoe. Give prob of sequence ee.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (2 - -1) - (17 - 15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 29890248281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 5, 21036, 3 in decreasing order.\nAnswer: 21036, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 212597?\nAnswer: 7, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**4\/5 - 48*w**3\/5 - 471*w**2\/5 + 2548*w\/5 - 2028\/5.\nAnswer: -(w - 3)*(w - 1)*(w + 26)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uzzkktuzttttkzz. Give prob of sequence tz.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -522*p**2 + 3. Let f(q) = -150337*q**2 + 865. Give -3*f(t) + 865*j(t).\nAnswer: -519*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.12 - 0.12. Which is the nearest to d?  (a) 1\/8  (b) 1\/3  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yjjjjjy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 + -4)\/((-2)\/3). Suppose g*l = 3*l. Suppose l*q - q = -4. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-22)\/(-55))\/(1\/180). Let b be 6\/g*-4*9. Suppose -3*m - 9 = -6*m. Sort 4, 1, b, m in ascending order.\nAnswer: b, 1, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -i**5\/4 - 163*i**4\/4 - 391*i**3\/2 + 319*i**2 + 474*i = 0.\nAnswer: -158, -6, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g - 8. Suppose -3 - 21 = -3*v. Let s be i(v). Suppose s = -3*d + 6*d - 27. Solve -2*f = 1 - d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89*g + 85*g + 20 = 184*g. Which is the nearest to g?  (a) 13\/5  (b) 2\/7  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 30583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -32836\/3987 + 6\/443. Let y = -4 - -6. Find the common denominator of (y\/5)\/(12\/237) and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 103\/381558 and 13\/6325830.\nAnswer: 120190770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 165 and 252.\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7831 + 12672. List the prime factors of v.\nAnswer: 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -116, -371, -624, -875, -1124, -1371, -1616?\nAnswer: -1859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1435546673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 13 = 4*k, 2*k = -8*i + 5*k + 46 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -b - n + 8, -2*b + 16 = 3*n. Suppose 0 = -4*d, 4*a - 7204 = b*d - 0*d. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xgygppxpzzmy. What is prob of picking 1 x, 1 m, and 1 y?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000201466571 rounded to six decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/5, 5, 0, 84?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 PM and 1:43 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46 is divided by ((-20)\/50)\/((-1)\/30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 - -343bb9?\nAnswer: 343bba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8 - -5. Let n(g) = -g**2 + 3*g + 4. Let m be n(3). Suppose -m*c - 23 + 7 = 0. Put 4, z, c in descending order.\nAnswer: 4, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*k**2 - 19*k**2 + 23*k**2 - 19*k**2.\nAnswer: -22*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the third derivative of -37*f**5\/60 - 21*f**3\/2 - 64*f**2. Differentiate k(j) with respect to j.\nAnswer: -74*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 2 + 0 = w, 4 = -4*w. Sort 0, 7, a in decreasing order.\nAnswer: 7, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39688788 is divided by 1150.\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*u = 9*u - q - 30, u = 58*u + 5*q + 1606 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(245) + (1 + sqrt(245))*-6 + 0)*-5)**2.\nAnswer: 10500*sqrt(5) + 154025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 30?  (a) -4  (b) 0.5  (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q - 3. Let j(h) = h - 4. Let c be 2*2 + (-5 - -2). Suppose 3 + c = u. What is u*i(l) - 3*j(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 15113, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 34420724 and 36790?\nAnswer: 7358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3004873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2576296 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**13*u**(1\/4)\/u)**20 assuming u is positive.\nAnswer: u**245","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 3*n + 7. Let l(y) = -6*y - 14. Let t be (-15)\/(-2)*2\/3. Let r(h) = t*c(h) + 3*l(h). Suppose -29 = 5*d - u, 4*u = 3*d + 2 + 29. Determine r(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.2 + -3. Let n = 158 + -155. Suppose 4*s + 3 = 2*t + 3*s, 3*s = -t - 16. Which is the smallest value?  (a) n  (b) w  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(171\/6)*(-324)\/(-324)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 567657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-2*sqrt(243))\/(3*sqrt(63)\/(sqrt(14)\/sqrt(2))).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the first derivative of f**2 + 4 + 4\/3*f**3 + 0*f. Find the second derivative of w(z) wrt z.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 - 6*g**2 - 9*g - 13. Let h be o(7). Suppose 12 = -5*n - 13. Let a be (-24)\/60 + h\/n. Solve -r + 8 = -a*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -96\/5 + 197851\/10305. Put 1, 0.5, y in descending order.\nAnswer: 1, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -588 - -953. What is the least common multiple of 6 and v?\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -6  (b) 0.1  (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express p**3 + 7*p**3 - 30*p**3 + (3 - 3 + 1)*(-p**3 - p**3 + 3*p**3) - 4*p**3 + 0*p**3 + 2*p**3 in the form o*p**2 + n + x*p**3 + i*p and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s - 4, 29 = -4*p - 3*s - 23. Let v = p - -17. Solve 0 = 2*t - w - v, -w = t - 6 + 1 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3564*v + 745*v**3 - 3566*v + 288*v**3 + 589*v**3.\nAnswer: 1622*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8899513*n**2 - 35*n - 12*n**3 + 8899513*n**2.\nAnswer: -12*n**3 - 35*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 699492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0*(-2)\/4 - -5. Let b = w - 3. Suppose 0*t - 3*a - 30 = -4*t, 4*a - 16 = -4*t. Solve -b*j + 2*n + t = -4*j, 0 = 2*j + n + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 221505128.19 to the nearest 1000000.\nAnswer: 222000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -71300 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the first derivative of 651249*x**5\/5 + 648021*x**4\/4 - 3224*x**3\/3 + 2*x**2 - 5001. Suppose v(z) = 0. What is z?\nAnswer: -1, 0, 2\/807","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.3 times 0.1?\nAnswer: 1.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1361582?\nAnswer: 2, 31, 21961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*g**2 + 226*g - 226*g + (-5*g + 6*g + 0*g)*(g + 0*g - 2*g) + 0*g**2 - 4*g**2 + 6*g**2 + (2*g - g - 2*g)*(-2*g - 2*g + 3*g) - g**2 - 2*g**2 + 6*g**2.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 - 41*n + 1 + 4 to the form h + y*n and give y.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 51 - 46.2. Let l = m - 4.7. What is the nearest to 0.2 in -0.5, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**2 + 5*b - 1. Let m be o(4). Let n be (-1)\/m - (-98)\/42. Is n at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 7, -1, 0.5 in decreasing order.\nAnswer: 7, 0.5, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 5*29476\nAnswer: 147380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in 1, -2, -0.06, 0, -142\/5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0 + (-6)\/(-27) + 8\/45. What is the closest to 0.1 in l, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -405232574947 - 746\nAnswer: -405232575693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that 32*m**3\/5 - 638*m**2\/5 - 8*m = 0.\nAnswer: -1\/16, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - y = -4*y - 57, -5*y + 65 = 5*l. Suppose 3276 = 4*k + 4*q, -16*k + 4*q = -l*k - 3276. 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 0.68356304 rounded to three dps?\nAnswer: 0.684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/33, 2\/27, 1418, 4, -0.1, 0.2 in decreasing order.\nAnswer: 1418, 4, 0.2, 2\/27, 2\/33, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 222692 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 o(w) = -4*w**3 + 3*w**2 - 3. Let y(i) = 4*i**3 - 6*i**3 + 3*i**3 - 3*i**3 + i**2 - 1. Let u be 15 - 200\/10 - (-6)\/4*2. Calculate u*o(n) + 5*y(n).\nAnswer: -2*n**3 - n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-1\/4)\/a**(1\/5))\/((a*a\/a**10*a)\/((a\/(a**(-4)*a)*a*a*a)\/a*a)) assuming a is positive.\nAnswer: a**(271\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -124 (base 10) to base 2.\nAnswer: -1111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 96, -3\/4, 4, 3, 353, 8?\nAnswer: 353","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:22 AM and 9:47 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f + 12067 - 12061 = -2*x, -2*f + 53 = -5*x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 29911.82937 from -4.\nAnswer: -29915.82937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are -53\/59 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 254389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 + 3)*(-3 - -4). Suppose q*m - 33 = -3*u + 2*u, 0 = -3*u. Suppose 58 = m*c - 9*c. What is the remainder when c is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 740 and 1702?\nAnswer: 17020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-729)\/(-144)*4 - 21. Sort h, -87, -1\/3, 2\/9 in increasing order.\nAnswer: -87, h, -1\/3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2345287294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/4, -0.42, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1\/5)\/(i**(-2\/13)*i))\/(((i*i**(6\/5)\/i)\/i)\/(i**(-1\/11)\/i*i*i)) assuming i is positive.\nAnswer: i**(-241\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 391*h - 26247 + 8652 for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(-2) - (-10 + 1). Suppose 5*k - 2 = 4*k. What is the highest common divisor of u and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 2*a + 36. Let f be x(-15). Suppose 16 + 14 = f*u. Suppose -4*j = 5*g - 403, 3*g - u*j = 313 - 49. List the prime factors of g.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*t - 193 = -192*t - 36 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -4, -27, -60, -109, -180, -279, -412?\n\"Answer: -z**3 + z**2 - 19*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 - -21 - (-2)\/(-2). Let i = t + -11. Find the second derivative of -2*w + i*w**5 - w - 15*w**5 wrt w.\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ybby when four letters picked without replacement from bbbhybhyy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 110 = -s + 5*l, 3*l - 102 = -3*s. Let i(v) = s - 12*v**2 - 7*v**2 - 30. Let t(u) = 2*u. Give t(i(a)).\nAnswer: -38*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 13351 - 6680 + j**3 + 3*j - 6674. Let q(z) = -12*z**3 - 34*z + 34. Give -6*q(v) - 68*t(v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*(((r\/(r*r**(-1\/2)))\/r)\/r*r)\/r)\/r*r**9)\/((r\/r**(-4\/3))\/r**(-7)))**(-3\/25) assuming r is positive.\nAnswer: r**(11\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2545 times -0.043028?\nAnswer: -109.50626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f - 56 = -10*f. Suppose -4*b - n + 26 = -3*n, 17 = 3*b - n. Let j = b - -11. What is the remainder when f is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a**4\/4 - 798*a**3 - 102867*a**2\/4 - 484771*a\/2 - 710892 = 0. What is a?\nAnswer: -18, -7, 3224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 247, 255, 265, 277, 291, 307, 325?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(-2\/5))\/y**(2\/3)*(y**0)**35)**(6\/5) assuming y is positive.\nAnswer: y**(-2\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 67\/2 - 33. What is the nearest to 0 in o, -0.2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5688, -8569, -13372, -20097, -28744, -39313?\nAnswer: -51804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**3 - 65*g**2 + 3*g + 7. Determine p(4).\nAnswer: -1085","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b**5\/7 + 474*b**4\/7 + 5244*b**3\/7 - 14376*b**2\/7 - 21072*b\/7 + 49920\/7 = 0. Calculate b.\nAnswer: -65, -16, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-1)\/25)\/((-6)\/15). What is the biggest value in -11, 4, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -y + 60 - 9, 45 = y - 4*c. Calculate the remainder when (124 - -1) + -8 + 7 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37439834377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 0.105, -4, 8 in ascending order.\nAnswer: -6, -4, 0.105, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*x - 18*x = 0. Suppose 2*l - 10 = -2*o + 10, x = -4*l + 4*o + 56. Solve -g = 2*g + l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 + 0)*(2 + 0 - 1)*(n**5 - n**5 - n**5) - 136*n**2 - 43*n**5 + 136*n**2.\nAnswer: -44*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -63*i**2. Let s(h) be the first derivative of -59*h**2 - 10324. Calculate c(s(j)).\nAnswer: -877212*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 + 6*w**2 - 17*w - 5. Let i be f(-8). Solve 0 = -4*s - 3*m + 16, -s - 2*m = i*m - 21 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 122632094 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1782001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/2*138\/(-138). Find y, given that 10\/7*y - 8\/7 - 2\/7*y**k = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55\/112 and 73\/1344.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**3 + 4*h**2 + 4*h - 4. Let n be m(5). Let r = -5 - n. Let j = 1 + r. Solve 0 = 2*d + 13 - j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7682, -15323, -22964, -30605, -38246, -45887?\nAnswer: -53528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.09, -290, 9\/2, -36 in ascending order.\nAnswer: -290, -36, -0.09, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -22 + 22.00000117. Round j to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.11 plus 1218113?\nAnswer: 1218112.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 7, k: 2, p: 4}. What is prob of sequence kkpp?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -18*t**3 - 7*t**2 + 17*t - 102. Let y be n(6). Is y <= -4142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -3*u**2. Suppose -2*p + 4*b + 14 = 0, 0*p = 5*p - 2*b - 67. Let v(h) = -33*h**2 + p*h**2 + 16*h**2. Determine v(j(r)).\nAnswer: -18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*i - 4*i. Let z(k) = k**2. Let f be z(i). Let u be 5 - (4\/1 - 2). Solve 4*c = -12, 5*r - u*c = -f*c + 24 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/12 + (224\/12 - -1). Let s = m + -3. Suppose 2*h + 2 - 18 = -2*v, -5*h - 4*v + 36 = 0. Solve -2*r - 18 = -2*j + h*j, -r + s = -4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1233 (base 4) in base 11?\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 6\/5 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 21 = -23 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 75 - -1?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (231\/(-9))\/(3\/((-27)\/(-6))*(-1)\/2)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*z + 4*z + 3269 - 3229 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*w**3 - w - 2*w**5 + w**3 + 3*w**3 - w + w**5 + w + (7 - 2 - 1)*(-5*w**5 - w**5 + 4*w**5).\nAnswer: -9*w**5 + 2*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 2\/71, -3230 in descending order.\nAnswer: 2\/71, -7, -3230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 196 = -4*v - 276, -5*v = 15. Is 30 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.04 + -5.96. Let f = v + 11. Let i = -0.86 - 0.14. Which is the closest to i?  (a) f  (b) -0.1  (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3418962.1 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1241*x + 32405 = -12271 for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 3*i**2\/4 - 183*i\/2 + 363\/4 = 0?\nAnswer: 1, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and -0.131619?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -79676 to the nearest 1000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -161830, -325473, -489116, -652759?\nAnswer: -816402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 11 - -4 - (-6 - (-7 + -6))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(350) - 5*(sqrt(350) + sqrt(350)*-1))\/(-5*sqrt(7)*-2 + (sqrt(7) - -1*sqrt(14)\/sqrt(2)))*-4.\nAnswer: -5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Are -2439 and -95152\/39 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, 2, 78232 in descending order.\nAnswer: 78232, 15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 + -28 - (-2 - 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/5, -4, -0.1, 3\/166, -1.72?\nAnswer: -1.72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 30040 to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 644 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -3*j**3 - 29*j**2 + 1745*j + 8747. Give n(-5).\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -z**4 + 0*z**2 + 2*z**2 - 2*z**4 + (-2 + 2 - 2)*(-2*z**4 - 4*z**4 + 2*z**4).\nAnswer: 5*z**4 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/12 in 2\/7, -284\/5, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140 = 3*u - 31*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**2 + 2*r + 8. Let s be b(0). Solve 4*a = -12, -a + 5*a = f - s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yddyddddddd. What is prob of sequence dyy?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5885116, 5885114, 5885112?\nAnswer: 5885110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3688 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2963 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 14*i - 3 = 15*i, -d = -5*i - 6. Let s = -0.34 - -0.04. Sort -3, d, s, 2\/3.\nAnswer: -3, s, 2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 y, 1 o, and 1 g when four letters picked without replacement from {y: 1, h: 1, o: 2, g: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 1214*j + 9. Is n(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -16280 by -5.\nAnswer: 3256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7*(2\/(-5))\/(48\/(-210))*(-12)\/42.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1753310 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -187.3 - -187. Which is the second smallest value?  (a) 5  (b) l  (c) 1\/5  (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/(1\/1) + (19 - -614). Find the first derivative of k*r**3 - 34 - 629*r**3 + 33*r**4 wrt r.\nAnswer: 132*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*-4*sqrt(102) + sqrt(102) + sqrt(102) + sqrt(102) + -3*-1*sqrt(102))\/(5*2*sqrt(150) + (sqrt(150) + sqrt(150)*-1)*-4))**2.\nAnswer: 833\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1289107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5169027 to the power of 1\/2, to the nearest integer?\nAnswer: 2274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*k**3\/4 - 339*k**2\/4 + 259*k\/4 + 603\/4.\nAnswer: (k - 67)*(k + 1)*(5*k - 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w = -z - 16, -4 = 3*z + z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - -1. Suppose -n = -1 - h. What is the second derivative of 4*t - n*t - 5*t**3 + t wrt t?\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one sixteenth of a century?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -23.1, -1\/4, -0.026744 in increasing order.\nAnswer: -23.1, -1\/4, -0.026744, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -120201022 + 100101?\nAnswer: -120100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.4195 + 0.48. Round i to three dps.\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -120, 59, 236, 411?\nAnswer: 584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*h = 136 + 166 + 43 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16 - (-15 + (-928)\/(-435)) - 29.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {d: 4, q: 14}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.71 * -0.02.\nAnswer: -0.0142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the second derivative of -r**4\/12 + 7*r**3\/6 - r**2\/2 + 83*r. Let b(m) = -m**2 - 6*m - 3. Let v be b(-5). Let c = v + 5. What is y(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = 13 - 20. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7049341\/6008025 + 1\/80107. Is q at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 4*j**2 + 56*j + 320. Determine z(-9).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b + 3 = q, -10*b = -14*b + 3*q + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 b when two letters picked without replacement from bbobvaeoovbbtbbab?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 235 divide 9428148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -203024315203 from 153.\nAnswer: 203024315356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -546*f**2 - 444 + 106*f**3 + 2178*f - 3*f**5 - 4*f**5 + 2*f**4 - 204 + 5*f**5 - 1170*f = 0. Calculate f.\nAnswer: -9, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let t = -485 + 10183\/21. What is the biggest value in 3\/4, 0.4, t?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 46769475 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 28592345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22869, 21569, 20269, 18969, 17669?\nAnswer: 16369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 56?  (a) -42  (b) -5  (c) -1  (d) 3  (e) -36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 + -12. Let a = -4 - w. Suppose 0*u = a*u - 255. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3\/(-3 - 14\/(-4)) and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 21 = -5*p. Let q(d) be the first derivative of d**2\/2 + 7*d - 4. Let n be q(p). What is the smallest value in n, -1\/8, 0.04?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4446277301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m - 1. Let u be f(-1). Suppose -19*z + 21*z + 20 = u. Which is smaller: z or -9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the second derivative of -q**5\/5 + 29*q**4\/2 - 69*q**3 + 82*q**2 + 6395*q. Factor n(b).\nAnswer: -2*(b - 41)*(b - 2)*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 27*x**2 + 15*x + 15. Let u(z) = -7*z**2 - 4*z - 4. Let q(c) = -15*u(c) - 4*v(c). Let s(a) = a - a - a**2. Give s(q(t)).\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -136766211*z**3 + 36384414 wrt z.\nAnswer: -410298633*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 14*d**3 - 5 - 13*d**3 - 6*d + 2. Is 23 a factor of q(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*(h**0*h)\/h*h))\/h*h**(3\/4))\/((((h**6\/h)\/h*h)\/h)\/h*h**(-4)) assuming h is positive.\nAnswer: h**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.05 * 3.020789.\nAnswer: -0.15103945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = -18*v + 3*v + 32, -80*v = 33*g - 78*v - 358 + 94 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -90.79478 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.08?  (a) -23  (b) 0.13  (c) 0.28  (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 732298 and 494?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 a factor of 1392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 583878?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from qhvzqqzzqqvqqqqq.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*x + 23*x - 1 + 0*x + 0 to the form b + w*x and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + 2. Suppose 0 = -a + x*a. Suppose a*j - 11 = -j. What is the greatest common divisor of 55 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-32)\/6 + 31200\/4680)*-15\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 742 - 741.98603. Round r to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(117) + (-1*(-2*sqrt(117) - sqrt(117)) - sqrt(117)))\/(sqrt(1008)\/sqrt(7)) + -4*(sqrt(13) - (sqrt(52) + sqrt(13))) + (2 + sqrt(13))*1)**2.\nAnswer: 39*sqrt(13) + 19773\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**2 + 2376*d - 39040.\nAnswer: 4*(d - 16)*(d + 610)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5484 - 4141. What is the highest common factor of p and 158?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q*q**(-4\/3))**(-8\/5)\/((q\/(q**(3\/5)\/q))\/q*q**(-27)) assuming q is positive.\nAnswer: q**(383\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-10 - -4)\/(3 - 1 - 0). Let h(f) = -2*f**2 + 16*f - 10. Let z be h(7). Put 5, z, 2, o in descending order.\nAnswer: 5, z, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 41, 0.9, 2?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 2*w**3 - 5*w**2 + 4*w - 4. Calculate the remainder when q(4) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 539*w - 679*w = -428*w - 21024 for w.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -248608 - -78311441\/315. Find the common denominator of j and 173\/90.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s - 39 - 13. Let d = -8 - s. Let c(w) = w - 4. Give c(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2605 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*p + 4*p + 20. Let d be (160\/3)\/p*3. Let b be ((-6)\/8)\/(12\/d). Let k(v) = -v**2 + 3*v - 2. What is k(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2260608 and 588?\nAnswer: 15824256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73139 is divided by 92.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -71476, -143344, -215238, -287170, -359152, -431196?\nAnswer: -503314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 382785 = 382790?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**2 + k + 2. Let b be j(0). Suppose -5*o + 29 + 43 = v, 0 = b*v - 4. What is the lowest common multiple of 2 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v - 3. Suppose -3406 = -47*l + 23572. Let i = 570 - l. Calculate b(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 35.766 and 16.71.\nAnswer: 597.64986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 1 = -3. Let o(v) = -v - 4. Let p be o(-7). Suppose -j - 8 = -p. Sort 2, r, j.\nAnswer: j, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(1215) + 1*sqrt(1215)) + (sqrt(1215) - (sqrt(1215)*-2 - sqrt(1215))*3))\/(((sqrt(30)*-2)\/sqrt(10) - 1*sqrt(300))*1).\nAnswer: -33*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1913\/5757 - -2\/1919. Factor 0*j - f*j**3 + 0 + 1\/6*j**4 + 1\/6*j**2.\nAnswer: j**2*(j - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 3\/(7 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 296 - 82. Suppose -4*i = -l - 254. What is the highest common divisor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1787070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1140142110 (base 5) to base 16.\nAnswer: 289f0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the second derivative of -19*x**3\/6 - 3*x**2\/2 + 997*x. Let k(s) = -10*s - 2. What is 5*k(v) - 3*z(v)?\nAnswer: 7*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.494 - 2.674. Let m = 7.18 + b. What is the smallest value in -0.23, m, 0.3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s - 16 = -3*t - 5*s, -4*s - 28 = -5*t. Sort 5, 2, t, -4 in increasing order.\nAnswer: -4, 2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*q**3 + 0*q + 0*q + (-5*q**2 + q**2 + 3*q**2)*(-2*q - q + q) + q**3 - 4*q**3 + 4*q**3 + 10757*q - 10757*q - 170*q**3.\nAnswer: -165*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -186*q + 14. Let k be j(-1). Calculate the greatest common factor of k and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4715\/126 + 262\/7. Let p = 29\/126 - v. Let h = 0.6 + -0.1. Which is the biggest value?  (a) 4  (b) p  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 776544501?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*n - 5 - 241*n**2 + 236*n**2 + 5.\nAnswer: -5*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.2413671 and 808390?\nAnswer: 808389.7586329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1515 and 4590?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -214992 divided by 2304\nAnswer: -1493\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 1  (b) 0.1  (c) 0.5  (d) 4  (e) 14\/5  (f) 97\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4814368 divided by 8.\nAnswer: -601796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**2 - 14. Calculate p(7).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 891869.\nAnswer: 11, 89, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -174575 divided by -5\nAnswer: 34915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1101939367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z - 20, -g - 4*z - 9 = -9*z. Suppose i - 6*i + 13 = -3*p, -4*p + g = -i. Solve -h - 1 = -5*k, -3*h + 0 - 3 = p*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 3*j = 64, -5*j + 9*j = -5*c + 72. Solve c*k = 7*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/(2\/8*6). Let l be 1 - (2 - j - 17). Suppose 0 = -0*g + 2*g - l. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.4?  (a) 0.3  (b) -3995  (c) 4  (d) 390\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z\/(z**(-10)*z)*z*z*z**(-3)*(((z*((z**(1\/3)*z)\/z)\/z)\/z)\/z)**23 assuming z is positive.\nAnswer: z**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (6 - 1) + 1 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -94*a + 1950 = 36*a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1497144325.\nAnswer: 5, 59885773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/33896 and 6\/2899?\nAnswer: 440648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 85987 and 1034?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -244\/7 or -35?\nAnswer: -244\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 161\/3*q**2 + 4\/3 - 121\/3*q**5 - 55*q**4 + 73\/3*q**3 + 16*q = 0. What is q?\nAnswer: -1, -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2192 and 40.\nAnswer: 10960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1345636, 2691270, 4036902, 5382532, 6728160, 8073786?\nAnswer: 9419410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*g - 30*g = 28. Suppose -10*a - 48 = -14*a. Calculate the remainder when (1\/(-2))\/(g\/(-1316)) is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 7.15, -0.05, 1, 0, -4, -1?\nAnswer: 7.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjjjjjcjc. What is prob of sequence jcjc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.77 + -0.8. Let w = j + 1.03. Which is greater: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -41336 and -41329 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 276262 and 14224674?\nAnswer: 5638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4532 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**0\/d)\/d)**(-32)*d*(d*d**(4\/7))\/d*d*d*d*d*d**(2\/13) assuming d is positive.\nAnswer: d**(6345\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(1\/11)\/((y*y\/y**(3\/19))\/y) assuming y is positive.\nAnswer: y**(-157\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 41303833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 - 3*h + 1. Let y be x(3). Let g be (-2)\/y + (-10)\/(-3). What is b in -2\/3*b**2 + 0 + g*b = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -504638*y**3 + 3*y**2 + 4059*y - 189?\nAnswer: -3027828*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**3 - 26*j**2 + 89*j - 20. Let z be t(22). Solve 0 = z*l + 2*x + 2, -2*l - l - 7 = -x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*r + 4 = 5*v - 2*r, 3*v - 2 = r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*a - s - 16, -83*a - 72 = -84*a - 13*s for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*d**3 + d**3 - 2*d**3)*(-2433*d + 180*d - 250*d - 46*d - 1594*d) to w*d**3 + i + k*d + m*d**4 + q*d**2 and give m.\nAnswer: 12429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -4\/3, 118\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 11000101111110 (base 2) in base 7?\nAnswer: 51640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes after 4:53 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (-47)\/7 - 10\/35\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00072125976 to 6 decimal places.\nAnswer: -0.000721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.054732 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**2\/3 - 24840338*l + 74521015\/3.\nAnswer: -(l - 1)*(l + 74521015)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/(-33) + 51136\/44. Suppose -5*w = -3838 - f. Round w to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/5  (b) -1  (c) -1803  (d) 0  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + -1 + 12 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13*q**3*v + 69*q**2*v - 43*q*v + 2*v wrt q.\nAnswer: -78*q*v + 138*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cczflzcxlcfclcfcfj. What is prob of picking 1 c and 1 x?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1027381 + 10838*i + 1027381 to the form l*i + v and give l.\nAnswer: 10838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -4*z - 1. Suppose 31 - 1 = z*f. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 4\/7, 0.08, -2, 8\/7?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 168460031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in three eighths of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**2 - 4*k - 5. Let t be n(5). Let i = -139\/310 + 3\/62. Let j = 23\/105 + 1\/315. Which is the nearest to j?  (a) t  (b) i  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 86658210 divided by -15.\nAnswer: -5777214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ajcauae. What is prob of sequence juac?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 4*c = -6 + 30, -3*t - 2*c = -13. Suppose 208*o = 190*o - 90. Sort t, 4, o in ascending order.\nAnswer: o, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36906?\nAnswer: 2, 3, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -35 divided by 35.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 11, 3, 0.1, -0.3, -9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 233283*c**3*r*t**2 + 15950*c**3*t**2 - c*t**2 wrt r.\nAnswer: 233283*c**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 442 and 40313426.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/178 and -117\/80.\nAnswer: 7120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c*c**(-22)*c*c)\/c)**26 assuming c is positive.\nAnswer: c**(-494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-17)*i**(-10\/3)*(i*(i*(i*i\/i**17)\/i)\/i)\/(i**6*i) assuming i is positive.\nAnswer: i**(-127\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**3 + 6*w**2 - 1 + 2 + 1. Let p = 20 - 14. Let l be r(p). Solve 0 = -4*d + l*b + 17 - 41, -3*d - b - 8 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, v: 1, a: 1}. Give prob of sequence va.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 1222200201202 (base 3) to base 12\nAnswer: 42b732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -5*l**2 - 9*l - 25. Let w(b) = -2*b**2 - 4*b - 13. Let o(s) = 3*k(s) - 7*w(s). Let n be o(4). Suppose 4*g - 6 = 2. Put g, n, -8 in increasing order.\nAnswer: -8, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/100770 and 115\/40308.\nAnswer: 201540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r**3 - 12*r**2 + 64*r - 48 = 0.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39092.\nAnswer: 2, 29, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -3*j. Let h(g) be the third derivative of -g**5\/40 + g**3 + 7*g**2. Let v(o) be the first derivative of h(o). What is v(l(i))?\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 620 = 11*m + 59. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -338 + 10 = -41*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + (6 - 18) - (5 + -22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((1 + -2*sqrt(117))*5)**2*-2.\nAnswer: -2400*sqrt(13) + 93800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 1835 divide 39774546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 0 - 1)*(4*r - 3*r + 9*r) in the form g + l*r and give l.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -9*k + 5. Determine u(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = o - 4, 5*p = -4*o + 368. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 5904\/(-60) + (-3)\/5. List the prime factors of (4\/6)\/((-6)\/s).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4242*-0.61.\nAnswer: -2587.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2.26 - 0.06. Let x = a - 2.200055. Round x to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -9*r - 1 + 2 + 0. Let s be p(-2). Let x = s - 11. What is the greatest common divisor of 72 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h + 41*g - 37*g - 20924, 3*g - 31401 = -3*h. Does 17 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/360*6040\/151.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8201045 to the power of 1\/2, to the nearest integer?\nAnswer: 2864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -4\/3, -1.6 in decreasing order.\nAnswer: 3, -4\/3, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*h**2 - 2*h**3 - 2*h**2 + 6*h - 4 + 3 - 2*h**2 to j*h**3 + f*h**2 + v + d*h and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -4) + -20 + 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 e, and 1 c when three letters picked without replacement from {e: 1, w: 2, b: 1, p: 2, t: 1, c: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-3) - (-48)\/9. Let f be 16\/q - 2\/(-6). Suppose m - f*m = -44. Calculate the lowest common multiple of m and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 624\/5 + -124. Let d(r) be the first derivative of 0*r**4 + 0*r**3 + s*r**5 + 0*r**2 - r + 3. Differentiate d(a) with respect to a.\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -27 - 57. Let n be 3\/(-5) - (-847)\/(-55). Let p = n - f. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((k**(3\/5)\/k)\/k*k)\/k)\/k**(-14))\/(k**(-1\/6)*k*k*k**(4\/13)*k) assuming k is positive.\nAnswer: k**(3689\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, y: 1, q: 2, a: 6, v: 4, h: 4}. What is prob of sequence vy?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (23 - 23) + (-2 - (-2 + 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.07 and -15873.\nAnswer: 1111.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2.47999889 + 2.48. Round a to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -82*c**3 - 3*c**2 - 6*c - 14. Let m(t) = 81*t**3 + 4*t**2 + 7*t + 14. Let g(z) = 7*d(z) + 6*m(z). What is the third derivative of g(p) wrt p?\nAnswer: -528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ffo when three letters picked without replacement from {f: 3, b: 3, o: 4, q: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1195, -1, -24, -2, 1, -7, 0.\nAnswer: -1195, -24, -7, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1, 23, 79, 181, 341, 571?\n\"Answer: 2*u**3 + 5*u**2 - 7*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1171125 and 27760.\nAnswer: 18738000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -2.2, 6\/5, -0.2, -10.\nAnswer: -10, -7, -2.2, -0.2, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 - -8. Suppose -5*o + 13 = z. Suppose 4*i - 8 = 2*v - 30, o*i = 10. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 340 - 337. Suppose v - 587 = 9*w - 4*w, v - a*w = 585. List the prime factors of v.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/13  (b) 4  (c) 1\/6  (d) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssssyssysysssysyyys. Give prob of picking 2 y and 1 s.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.2  (b) -1\/2  (c) 0  (d) -68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 3*b = -2*b - 4396, -l + 4*b = -896. Let w = l + -442. Is w a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**2. Let q = -10 + 5. Let g(j) = -12*j. Let l(b) = -18*b. Suppose 21 = 7*n - 35. Let w(r) = n*g(r) + q*l(r). Give w(s(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 163 (base 9) to base 12.\nAnswer: b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 - 73a9?\nAnswer: -73a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -229020 - -229024.00004. Let a = r - 4. What is a rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(3) + (sqrt(21)\/sqrt(28))**2)*2.\nAnswer: -5\/2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 26*i**2*r**2 - 65*i**2*r + 39*i*r**2 + 3*i*r wrt r?\nAnswer: 52*i**2 + 78*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 942 - 618. Calculate the highest common factor of b and 567.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in -2, -168, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 229143842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -30, -129, -294, -525, -822, -1185?\n\"Answer: -33*i**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -6*q**2 - 81*q + 36. Determine l(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/981 and -73\/12862?\nAnswer: 115758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4542803251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1014467343?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 2, h: 1, q: 4, r: 2}. Give prob of picking 1 c, 1 h, and 2 r.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 9676 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -19*r + 18*r + 4109. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9533453, -9533476, -9533515, -9533570, -9533641?\nAnswer: -9533728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0, -3, 1466 in decreasing order.\nAnswer: 1466, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-8)\/10)\/((-6)\/15). Determine y, given that 24 + b*y**4 - 6*y**2 - 2*y**3 - 19*y - 20*y**4 + 55*y - 3*y**5 - 31*y**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(1408)*2*-2)\/(sqrt(891) - (sqrt(891) - 5*2*sqrt(891)) - (sqrt(891) - -1*-2*sqrt(891) - sqrt(891))).\nAnswer: -8*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 2, s: 7, m: 2}. Give prob of sequence smm.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-30*p - 1 + 42*p + 24*p)*(3 - 2 - 2).\nAnswer: -36*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 2 = 2*p - q, -4*q = p + 21. Let r(u) = 0*u**2 - u**3 - 5*u - 3*u**2 - 3*u**2. Let y be r(p). Solve 16 = 4*s - y*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*t + 2*t + t)*(5 - 1 - 2) - 3*t + 3*t + 2*t + 5*t + t - 7*t in the form z + f*t and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the first derivative of 2*w**3\/3 + 2*w**2 - 1. Let y(g) = -g. Let a(c) = -4*c. Let j(o) = 2*a(o) - 7*y(o). Calculate h(x) + 4*j(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 269.9412 micrograms?\nAnswer: 0.0000002699412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -5  (b) 526  (c) 4  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f**3 + 2404*f**2 + 19378*f - 21780 = 0 for f.\nAnswer: -9, 1, 1210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 56123159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**1)**(-12\/11)*(q**(-2)\/q)**38 assuming q is positive.\nAnswer: q**(-1278\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 17647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 30162205, 30162216, 30162231, 30162250, 30162273?\nAnswer: 30162300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 7*s + 27 = 2*c, -3 = -s. Let f(y) = -y**2 + 7*y. Determine f(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 67906 = -4*g, -63*g - c - 33951 = -65*g. What is the greatest common divisor of g and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 627213 - 56447693\/90. Let s = -122\/15 + j. Find the common denominator of s and ((-465)\/20 + -1)*4\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1131336094 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/(-24))\/((-6)\/4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppep when four letters picked without replacement from {e: 3, p: 12}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -407 (base 12) in base 4?\nAnswer: -21013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5865*p**2 + 5 - 5 + 5819*p**2.\nAnswer: -46*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 667*q - 59421. What is a(89)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 125*r + 129*r + 1 = 0, -r = -3*o - 16 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 22 + (4 - -1) + (13 - 12)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 490*(1105\/(-225) + 5). Let g be (0 - 0) + (-35825)\/(-900). Let q = g - l. Which is smaller: -5 or q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6833 is divided by 134.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -725*h + 1468. Let y be r(2). Which is the smallest value?  (a) 3  (b) -2\/9  (c) -1\/2  (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 88545.96 millennia?\nAnswer: 88545960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 + -586c524?\nAnswer: -586c526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 630 and 1355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + r = -3*r - 4, 0 = 5*b - 5*r - 5. Suppose b = -4*a + 106 - 14. List the prime factors of a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**2 - 2*u + 1. Suppose 0 = 2*r - 5*r - 3*h + 63, -2*r + 7 = -5*h. Suppose -f - 19 = -r. Let y be 27\/36*(-4)\/f. What is c(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that 5*c**3\/2 - 35*c**2 - 3920*c + 82320 = 0.\nAnswer: -42, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 1460*l - 7. Let w(m) = m**2 - 8*m - 19. Let y be w(10). Let g be n(y). Let z = g + -2523. Round z to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ipiiiyiipkjipipe. What is prob of picking 3 i and 1 k?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*m**5 - 3008*m**4 + 492556*m**3 - 24279952*m**2 + 111310400*m - 87520000 = 0. Calculate m.\nAnswer: 1, 4, 100, 547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2, -111, 25, 4 in decreasing order.\nAnswer: 25, 4, 2, -2, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -2*c**2 + 5*c - 5. Let v(f) = -7*f - 5. Let y(n) = -9*n - 6. Let l(m) = 5*v(m) - 4*y(m). Give -10*l(o) + 2*p(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1 + -3 - 1743\/(-168). Let g = -137\/24 + s. Let i be (6\/9)\/((-11)\/(-3)). Which is the closest to 2?  (a) -5  (b) g  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/(-12) + 402\/8. Suppose -72 = -2*p - 4*f - 2, 4*p - 195 = 3*f. Let v = y - p. What is the remainder when 18 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 + 81*p**2 - 820*p - 79. What is h(12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 240818 is divided by 57?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -98*a**2 + 105*a + 5. Let t(s) = -49*s**2 + 53*s + 2. Let b(u) = 3*n(u) - 7*t(u). Find the second derivative of b(d) wrt d.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-2 + 3)\/(-5) - -1)*(-4951 - -6). Which is greater: -3952 or w?\nAnswer: -3952","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 142 and 35713?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + 7241?\nAnswer: 7240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 - (-25 + 23)) + (-7)\/(-1). Solve -c*b - 268 = -292 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 4*i - 128 = r, 2*i = -3*r + 176. Let c = -69 - -72. Suppose -4*v - 57 = -5*z, -2 = 3*z - c*v - 38. What is the remainder when r is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39055 at least as big as 39056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22, -59, -224, -479, -830, -1283, -1844, -2519?\nAnswer: -3314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/(-18))\/(2\/(-40)*-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 100480*r*x**3 - 41414*r*x + 4*x**3 - x wrt x?\nAnswer: 602880*r*x + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 418*n. Let s(t) = 2*t**2 + 15623*t. Determine a(s(o)).\nAnswer: 836*o**2 + 6530414*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 29*i + 9 + 12*i - 9 to f + d*i and give d.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -31471751, -31471747, -31471737, -31471721, -31471699?\n\"Answer: 3*s**2 - 5*s - 31471749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -5*i. Let h(l) = -l**2 + 321*l. Give h(a(k)).\nAnswer: -25*k**2 - 1605*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -t**5\/3 - 221*t**4 - 114110*t**3\/3 - 1395826*t**2\/3 - 1221675*t + 5175625\/3 = 0?\nAnswer: -325, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1766 in 2, 0.1, -19\/5, 1\/3?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) -7  (b) 1\/2  (c) 3\/104  (d) 2\/249  (e) -5  (f) 0.4  (g) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes after 4:09 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w**4\/5 - 1498*w**3\/5 - 23801*w**2 - 2215896*w\/5 - 2404368 = 0. What is w?\nAnswer: -1415, -59, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3800\/(-570)*6\/4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1950634995?\nAnswer: 3, 5, 17, 2549, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*q**2 + 3*q - 4*q**2 - 3*q**2 as g*q**2 + z + c*q and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -88376*b**2*j*v**2 + 69734*b**2*v**2 - 16*b*j*v - 65*b*v**2 wrt j?\nAnswer: -88376*b**2*v**2 - 16*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1428\/(-21420))\/((-4)\/10)*54.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the second derivative of 0*s**2 - 1\/6*s**3 + 0 - 1\/12*s**4 - 4*s. Suppose b(a) = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -6 + a**3 - 268*a**2 + 5*a - 269*a**2 + 543*a**2. Give d(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43 = -18*v + 29. Solve -5*z + 37 = -v*j, 0 = 2*j + z - 0*z + 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the second derivative of -7*b**5\/20 + 5*b. Give i(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**2 - 104240*m - 269061100.\nAnswer: -4*(m + 2905)*(m + 23155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-38)\/(-48))\/((-884)\/7072).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.4, -6\/5, -0.7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Total of 892.7 and 4.69798.\nAnswer: 897.39798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 790.19 rounded to the nearest ten?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (128\/(-448))\/(2\/14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 9\/(2 + 0 + -3). Let g = h - -13. Does 4 divide 14\/21*42\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**3 - g**2 + 2*g + 35*g - 13*g - 9*g - 14*g. Let h(p) = -3*p**3 + 4*p**2 + p - 3. What is -c(b) - h(b)?\nAnswer: 2*b**3 - 3*b**2 - 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -1213*x + 52. Let h be z(10). What is the remainder when (-1 - h\/45) + (-4)\/10 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7637082 * 36\nAnswer: 274934952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 times 281200?\nAnswer: -3093200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 464 = -o. Let j = o + -75. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.2006 - -0.0006. Which is the closest to -56?  (a) -0.1  (b) j  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -275544 = -4663*k - 1745*k for k.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p - 5 = 6*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9592 + 9592. Solve -41*x - 13*x + 162 = y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -3*c + 94. Let h be z(5). Let n(l) = -7*l - 21. What is the remainder when 2\/(-2) + h - -1 is divided by n(-7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 291\/24 + 29\/(-232). Solve p = 9*n - 24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (73 - (-5 - -39)) + -71?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10 + -5. Suppose -4*x + 3*x + m = 0. Is 6 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) 1\/5  (c) -2\/13  (d) 1\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.13695  (b) -2\/9  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 195, 252, 309, 366?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s - 16. Let d be y(12). Let x = -4 - d. Suppose x = -5*c + 17 - 2. Solve -2*l + c*l - 3 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, -2\/11, -12, -22.09 in descending order.\nAnswer: 15, -2\/11, -12, -22.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 5*c - 96 = 0, 20*x + 5*c = 19*x + 46. Is 49 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3855820 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/34, -1, 2\/11, 2 in increasing order.\nAnswer: -1, -1\/34, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -15652 + 466?\nAnswer: -15153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -218 - -412. Calculate the common denominator of 59\/14 and (-6 + -1)\/(-84)*n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 2\/11*b**3 + 480\/11 + 62\/11*b**2 + 356\/11*b = 0.\nAnswer: -24, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -1. Suppose j + 14 = 5*r, -9 = 3*j + 3. Let c(t) = t - 4*t - r + 0*t - 4. Give c(o) - 6*g(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22266761.\nAnswer: 11, 461, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:56 AM and 6:41 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-4)*5*6*17\/(-255))\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -604 in -2, 0.21, -6\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/290 and 89\/10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 + 2 - -45) + -6 - (19 + -23)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 1 y when three letters picked without replacement from {x: 3, y: 2, g: 2, n: 6, o: 6}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Do -29 and -23 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 5 + 6)*(-h + 4 - 4) + (-2 + 0 + 0)*(h - 4 + 4) + 2*h + 0*h + 0*h + (0 - 1 + 3)*(-14*h + 30*h - 13*h) in the form l + u*h and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 323 - 299. Let n = 118 - f. What is the lowest common multiple of n and 22?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**(1\/4))\/(l*l**(-6\/19))*(l**(-5))**(-38))**38 assuming l is positive.\nAnswer: l**(14445\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -4*d**5 + 400*d**4 + 4836*d**3 - 253568*d**2 + 1133648*d - 885312 = 0?\nAnswer: -29, 1, 4, 18, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 3)*(-4 + 20172789*g**2 - 20172789*g**2 - 207*g**3 - 2*g).\nAnswer: 621*g**3 + 6*g + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 - -4. Suppose 11 = t - x. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 771997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -179*i**5 - 2385*i**4 + 1513203*i**2 wrt i?\nAnswer: -10740*i**2 - 57240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 - -8.2. Let a be 92700\/(-856800) - (0 - 2\/16). Which is greater: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -229 - -232. Solve -2 = k, -6 = 2*v - g*v + k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the first derivative of -50*d**3\/27 - 10*d**2\/9 - 2*d\/9 + 6. Suppose q(l) = 0. Calculate l.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l + 2. Let n be 1 + 1 + -1*4. Let x be r(n). Suppose -5*y = -f - x*f + 13, -2*y + 11 = 5*f. Solve 2*o - f*v = -2 + 9, -5*o + 2*v + 23 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 - -3. Find the second derivative of -o*t + t - 3*t**4 + 0*t wrt t.\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -v**2\/7 - 392*v - 268912 = 0.\nAnswer: -1372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*u**2 + 0*u**2 - 3*u**2 - 8*u**2 in the form c*u**2 + l + n*u and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -775468, -775618, -775778, -775948?\nAnswer: -776128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**3 + 2*j**2 + 2*j + 4. Let k be t(3). Let p be ((-21)\/2 + k)\/((-1)\/2). Suppose -r - i = -92 + p, 381 = 5*r - 3*i. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - l + 79 = 0, -n + l + 13 = -l. Let x be -2 + 2 + -2 + -16 + n. Let a = x - -15. What is the remainder when 47 is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 + -3202071?\nAnswer: -3202066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5825320 by -5.\nAnswer: 1165064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 969\/176905 or 0?\nAnswer: 969\/176905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 13*i**3 - 9*i**2 + 5*i - 4. Let h(m) = -m + 0*m**2 + 6532 + 2*m**2 - 6531 - 3*m**3. Determine -9*h(g) - 2*n(g).\nAnswer: g**3 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**0)**(1\/9)*(i**(-3\/4)\/i)\/(i**(-1\/3)*i) assuming i is positive.\nAnswer: i**(-29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 12507*p**3 + 9*p**2 - 3949. Let z(j) = -3127*j**3 - 2*j**2 + 987. Let f(l) = 2*s(l) + 9*z(l). Find the first derivative of f(m) wrt m.\nAnswer: -9387*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 36*f. Let c(l) = -l. Give -160*c(s) - 5*p(s).\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the second derivative of w**4\/4 + 3*w**3\/2 + 3*w**2 + 118*w. Determine u so that i(u) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 58, 67, 90, 133, 202, 303, 442, 625?\n\"Answer: o**3 + o**2 - o + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9685515277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 386119.\nAnswer: 386119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 2541, 2545, 2557, 2583, 2629, 2701?\n\"Answer: t**3 - 2*t**2 + 3*t + 2539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -21?  (a) 0.05  (b) -2\/5  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -142296, -142360, -142422, -142482?\n\"Answer: j**2 - 67*j - 142230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -58 + 309 - 244 - 42*l**2 as w + s*l**2 + r*l and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**4 + t**3 - t**2 + t + 1. Let u(l) = 4*l**4 + 6*l**3 + 6*l + 6. Let h(v) = -6*f(v) + u(v). Find the third derivative of h(w) wrt w.\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve n**4\/4 + 28*n**3 - 825*n**2\/2 - 116100*n - 11451375\/4 = 0 for n.\nAnswer: -87, -45, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, -12, -2\/7, 8, -0.278.\nAnswer: -12, -2\/7, -0.278, 2\/5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:51 AM and 4:32 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 45 + -34 - -36 - (1 + -1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -3*v - 8. Let k(t) be the third derivative of t**4\/6 + 38*t**2 - 2*t. Determine k(a(p)).\nAnswer: -12*p - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -91.35 + -1.65. Let t = o + 91.92. Round t to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 526.8472m?\nAnswer: 526847200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -9*j. Let i(a) = -2025247*a. Calculate d(i(r)).\nAnswer: 18227223*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 16 + 4 - 16 - -10\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -20758*a - 705736. Determine b(-34).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 - -593.865.\nAnswer: 596.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -2*u - 3. Let x be i(-9). Suppose 0 = -3*t + x - 0. Suppose -t = -2*l + 7. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 35710 - 35710.1. Let k be 2\/(-5 + 3)*-1. Let z be k\/(-3)*30\/8. Which is the nearest to -1\/2?  (a) r  (b) z  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/10 - 1784\/20. Round b to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24989420 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -45986, -180598, -404944, -719018, -1122814?\nAnswer: -1616326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = -5*o + 80, 0*j = -o + 5*j + 10. What is the remainder when 3\/(-9) - 390\/(-9) is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence czcz when four letters picked without replacement from {z: 12, c: 3}.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7336.369 millilitres to litres.\nAnswer: 7.336369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -121705 - -188282. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 158817539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -w**2\/2 - 98*w - 579\/2 = 0. What is w?\nAnswer: -193, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -40*k**4 - 79*k**3 + 89*k**2 - 14*k. Let s(z) = 79*z**4 + 157*z**3 - 179*z**2 + 29*z. Let y(o) = -7*i(o) - 4*s(o). Suppose y(d) = 0. What is d?\nAnswer: -3, 0, 1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 160 + -1118\/7. Put j, -1\/3, 3 in decreasing order.\nAnswer: 3, j, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 4*o**3 - 492*o**2 - 996*o - 500 = 0?\nAnswer: -1, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-3)*k)\/(k**(-2\/3)*k))**(-3\/14) assuming k is positive.\nAnswer: sqrt(k)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express w**4 + w**2 - w**2 + 9356*w**2 - 9356*w**2 + 428*w**4 + (w - w**2 - w)*(-5*w**2 + 5*w**2 - w**2) as h*w**4 + z*w**3 + i*w**2 + y + g*w and give h.\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/8009551 and 55\/8.\nAnswer: 64076408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a - a + 2*w + 22, 3*a - 4*w - 14 = 0. Suppose 0 = -a*n + 134 - 50. What is the remainder when n is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1057 - -1062.7. Let c = -6.725 + 0.025. Let j = y + c. Is j less than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -51*m**2 + 41. Let c(q) = 230*q**2 - 184. Let f(w) = -5*c(w) - 23*p(w). What is the derivative of f(n) wrt n?\nAnswer: 46*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*v**2 + 8*v**2 - 15*v**2 + 3*v**2 + 2*v**2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - (8 + (-1 - 13))) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -2*i + 11. Let y be w(9). What is the units digit of 36\/21 - 2\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19 - 17. Put 15, p, 5 in ascending order.\nAnswer: p, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25898.24mm to centimeters.\nAnswer: 2589.824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -93 + 101. Suppose 7*k - d = 3*k. Solve -k*j - 5 = -5*a, 18 = 2*a - 0*a - 4*j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1939?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**3 + 2*q**2 + q - 1. Let v be r(-5). Let x = 7 - v. What is the greatest common factor of 22 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -228 by 2.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 22*(-2 + 28\/8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5\/4  (b) -53  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 3*f = -5*o - 529, -131 = o + 2*f. Let h = o - -159. Calculate the greatest common factor of h and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s*s**(-4))\/(s**(-2\/13)\/s))**(-44)\/((s*s\/(s*s\/(s\/(s**1\/s)))*s*s)**(1\/4)\/((s*s**6*s)\/s**2)) assuming s is positive.\nAnswer: s**(2209\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -65*z + 64*z - 2*m, 0 = 4*z - 5*m - 16 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 - 9*t**2 - 11*t + 15. Let s be f(10). Suppose -12 = 2*y + l - 113, -s*l - 45 = -y. Suppose 2*h = -3*h + y. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 413, 12, -2, -3, -132, 4 in ascending order.\nAnswer: -132, -3, -2, 4, 12, 413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -3*v**2 + 47*v + 18. Let c be r(16). Let y be ((-10)\/(-4))\/((-2)\/(-4)). Calculate the common denominator of (c\/(-16))\/(y\/(-235)) and 34\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**3 + 18*k**2 - 17*k + 4. Calculate the least common multiple of 6 and f(17).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 10\/797  (c) 14.7  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4409327 and 1813.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 - 7*t**2 - 2*t - 10. Suppose -2*o - 8 = 6. Let r be b(o). Suppose 18 = -r*k + 142. What are the prime factors of k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 0, -1\/9, -5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 112237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1 - (19 - 2*-1). Let o(f) be the first derivative of -3*f**2\/2 - 15*f + 18. Does 7 divide o(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 12062 * 3815.\nAnswer: 46016530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*6\/(-8)*12\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 - -3)\/((-1)\/(-4)*(-144)\/(-60))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-18)\/117 - (-16151)\/117. Let v = 138 - g. Let p = 0.2 - -0.8. What is the biggest value in 2\/13, p, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 235 is divided by 220?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*4*sqrt(91)*2)\/(sqrt(35)\/sqrt(5)*1*-6).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1243 = 32*c - 171 - 762 for c.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*n + 38*n = 21 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5999 - -9958. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -2*u**3 + 5*u**2 + 11*u + 6. Let n be s(4). Let z(f) = f**2 + 10*f + 13. Let a be z(-9). Solve -a*g + 5*w + 21 = -n*g, 2*g = w + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*d + 24 = -20. Let v(k) = -2*k + 7. Let s be v(5). Let y be (d*-1 - s) + 4. Solve -y*f - 11 = 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from fdfdqjta.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*w + 15*w = -46. Is w at most as big as -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 - 3*a**2 + 2*a + 1. Give m(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15250?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -733, -849, -977, -1123, -1293, -1493, -1729?\nAnswer: -2007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -763, -1517, -2271, -3025, -3779?\n\"Answer: -754*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 32*k**2 + 9*k + 2. What is the units digit of u(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4435408.\nAnswer: 2, 277213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*h = 11*h - 144. Solve -11*k + 10*k = h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 814449677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3626 is divided by 914?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-2\/9)*o)**(-42)\/((o**(-2\/11)*o)\/(o\/(o**(-2\/21)\/o))))\/(((o\/o**(-6))\/(o**(-1)\/o))\/(o**(-2)\/o)**(2\/9)) assuming o is positive.\nAnswer: o**(-9484\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 112112 and 28886858.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 5893557 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from prpjpjarupjt. Give prob of sequence atj.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -4*x - 3. Let m(b) = -28*b - 22. Let g(a) = -9*a - 7. Let r(q) = -10*g(q) + 3*m(q). Give 7*n(l) + 5*r(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o = -2 - 5. Solve -o = -3*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 2*w**3 + 3*w**2 - 52*w + 269. Is j(14) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + o**2)*(o**2 + 2*o**2 + 0*o**2) + (6 - 125*o - 26 + 21)*(o**3 - 2*o**3 + 3 - 1).\nAnswer: 128*o**4 - o**3 - 250*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3112548 and 21?\nAnswer: 21787836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-59 + 11 - 78)*(0*a**3 - 4*a**3 + 3*a**3)*(-2*a - 2 + 2) to i*a**2 + j*a + n*a**3 + b*a**4 + x and give b.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1\/13 + 73\/780. Let r(g) be the third derivative of -2*g**2 + 0*g + 0*g**4 + 0 + 0*g**3 - b*g**5 + 1\/120*g**6. Find the third derivative of r(x) wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**15\/v)\/v)\/v)**(-1\/62)*(v**(-1\/9)\/v)\/(v*v\/((v\/(v\/(v*v\/(v*v\/(v\/(v**27*v))*v)*v)))\/v)) assuming v is positive.\nAnswer: v**(-8734\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1002*i**2 - 57 + 233 - 64 - 54 - 60 to b + u*i + o*i**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 191*c - 241 + 25 = 215*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 997722908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -3995300 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3594859 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 571378, 1142758, 1714138, 2285518, 2856898?\n\"Answer: 571380*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u - 8. Suppose 4*k + 0*k = 24. Suppose 2*q + 40 = 5*m, -k*q + 2*m = -q + 58. Let i be a(q). Solve w + 3*f - i = 0, -3*f - 11 = -4*w - 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 3763573059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10212110101102210 - 22?\nAnswer: -10212110101110002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9459 and 27864.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 183?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-2))\/(21\/(-42)) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v**4\/4 - 45981*v**3\/2 - 367656*v**2 = 0. Calculate v.\nAnswer: -30638, -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -43, 5, -6477 in decreasing order.\nAnswer: 5, -43, -6477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 1121*m - 39. Let r(a) = 280*a - 9. Determine -6*o(p) + 26*r(p).\nAnswer: 554*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -33743642, -67487291, -101230940, -134974589?\n\"Answer: -33743649*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 10741197 times -0.1\nAnswer: -1074119.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - (3 + -5)) + 20 + -28?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 19*q + 26. Calculate b(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 228*5\/(45\/6). Let w = b + -88. Suppose -4320 = -86*x + 41*x. Calculate the greatest common divisor of x and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the second derivative of 0*c**3 + 5\/2*c**2 - 6*c + 0 - 1\/3*c**4. What is the derivative of k(g) wrt g?\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z**5\/7 - 4*z**4 - 64*z**3\/7 + 118*z**2\/7 + 9*z - 90\/7 = 0. Calculate z.\nAnswer: -3, -1, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of s**6\/180 + s**5\/60 + 2*s**3\/3 + 1. Let b(q) be the third derivative of a(q). What is the second derivative of b(z) wrt z?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the second derivative of -1\/2*s**3 + s + 0 - s**2 - 1\/12*s**4. Solve r(z) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 4*h**2 + 94*h + 4. Let t(u) = 98*u + 101389*u**2 - 6*u + 5 - 101386*u**2. Let g(j) = 5*a(j) - 4*t(j). What is the second derivative of g(p) wrt p?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + 11 - 5 - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y - 4*v - 1 + 6, 10 = 2*y + 2*v. Suppose -6*k + y*k = -48. Let q(l) = 5*l**3 + l**2. Let f be q(3). What is the greatest common divisor of f and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2442806 (base 10) in base 7?\nAnswer: -26522612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1 - 16)\/((1 - 4) + 2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 326 + 269 - 2*d**2 - 584 + 3*d - 5*d - 7*d**3 to i*d**3 + p*d + h + s*d**2 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j - 2*g, 6 = -j + 6*j + 2*g. What is the third derivative of 0*o**5 - 5*o**j - 5*o**5 + 3*o**2 wrt o?\nAnswer: -300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 968915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c - 6. Let r be z(-9). Find the third derivative of -w**6 + 0*w**r + 5*w**6 + 4*w**2 + 0*w**3 wrt w.\nAnswer: 480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -6*v + 18. Let z = 14 + -6. Suppose -2*y - 2*r = -z, r = 3 + v. Put 2, -5, y in decreasing order.\nAnswer: 2, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -138 and -14.\nAnswer: 1932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (0 + 3 + -5)\/((-47730)\/186147)\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1110035 (base 6) in base 10?\nAnswer: -55751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.50876 times 0.2?\nAnswer: -0.101752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 34848 and 37374?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 344*h**4 + 4*h**3 - 31*h**2 + 582498*h wrt h?\nAnswer: 4128*h**2 + 24*h - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5798 and 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 2*v**4 - 11*v**2 + 9*v**2 - 3 to the form f*v**4 + n*v**3 + h*v + t + x*v**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -54414 + 23403. Let m = -10289 + q. Round m to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - (-6 + 3)) + (-3 - -4) + -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 - 58 = -12*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes after 1:42 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((k*k**17)\/k*k*k)\/k*k)\/k*k**(-4\/11))**(-50) assuming k is positive.\nAnswer: k**(-9700\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/24 and (-2)\/10 + (0 - (-1965)\/700)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1, -30002 in decreasing order.\nAnswer: 3, 1, -30002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4341132 (base 5) to base 16.\nAnswer: 1232e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 2*r + 3 = 0, 4*r - 5*r = -3*n + 3. Put -2, n, -4 in decreasing order.\nAnswer: n, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*t**2 - 406 + 0*t**2 + 406.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (101 - 101 - 28*t)*(3*t - t + t)*(2*t + t + 3*t).\nAnswer: -504*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 132\/12 + 6\/(-1). Solve -5*r + p*w + 20 - 5 = 0, 5 = -w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -2*p + 31. Calculate the lowest common multiple of 24 and y(11).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -149807728856 and 0.9.\nAnswer: -149807728855.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10405108 and 22?\nAnswer: 114456188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 153327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (5 + 0)*(9 + -10). Let l be (790\/(-1))\/f - -1. Let w = -85 + l. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4\/3  (b) -2\/7  (c) 2\/5  (d) 86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 29\/((-145)\/(-6))*425\/15. What is the closest to -2\/7 in 3, -0.02, l, 4\/5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -l**4*z**3 - 52*l**4*z - 4*l**2 - 13*z**3 wrt l?\nAnswer: -24*l*z**3 - 1248*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30)\/(sqrt(10)\/sqrt(2)*-4))\/(sqrt(15)\/(-3*sqrt(25)\/sqrt(5))).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -1\/3  (b) 0.4  (c) 75.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 9*z - 20. Let n = -16 + 31. Suppose -z = -4*i + n. What is the remainder when 13 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(17))*5 + -2*sqrt(612).\nAnswer: -7*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m\/(m\/(m\/(m\/m**(-6)*m))*m*m)*m*m**1\/m*m**9*(m**3*m)\/m assuming m is positive.\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1\/5*c**4 + 191843\/5*c**2 - 192721\/5*c + 877\/5*c**3 + 0 = 0 for c.\nAnswer: -439, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d**2\/3 + 1375*d\/3 - 1376\/3 = 0. Calculate d.\nAnswer: -1376, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -3*t**2 + 77*t + 194. Calculate z(-3).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 482757889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -2817 (base 9) to base 5\nAnswer: -31442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 510*31\/6200 + 7\/(-4).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 786240 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1719 is divided by 840.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 3*l = 186997, -3*p - 6*l = -2*l - 560996. What is p rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 44269 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 110110011 (base 2) in base 5?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 14014466*g**2 - 25266253*g?\nAnswer: 28028932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9323 is divided by 775.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 1 - 2*j + (5 + 1 - 5)*(-4*j - 2*j + 4*j) + 8*j - 8*j + 8*j + (-1 + 1 + 3)*(-j + 0*j + 2*j) as k*j + y and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((b*(b\/(b\/(b*b\/((b*((b*b**(-1\/23)*b*b)\/b)\/b)\/b))*b*b*b))\/b*b)\/(b*b**(1\/4)\/b))**(1\/3))**(-29\/2))**(-12\/11) assuming b is positive.\nAnswer: b**(-3219\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.4649167 rounded to 2 dps?\nAnswer: 5.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -35 - 16*h - 17*h - 5*h**4 - 18*h + 46*h - 5*h + 3*h**3 in the form w*h**3 + u*h + f + s*h**2 + m*h**4 and give f.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 185.4 + -214. Let t = 5.6 + h. Let d = t - -21.5. What is d rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*l**3 + 105*l**4 - 2 + l**3 + 394*l**4 + 293*l**4 as a*l + h*l**4 + r*l**3 + y + n*l**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12194 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -306 divided by 87.\nAnswer: -102\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 126 divide 8468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 95864888?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/(-6)*((-30)\/100)\/(14\/10).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*s**5 + s**5 - 7*s**5 + 3*s**4 - 3*s**4 + 3*s**5 + (0*s**2 + s**3 + 0*s**2)*(-s + s + 2*s**2) + 1 - 1 + 2*s**5 + (s - 3*s + 5*s)*(2*s**4 + 1 - 1).\nAnswer: 10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 0*r + 16 = 0. Let h(d) = -6*d**2 - 6*d - 3. Let p be h(r). Is (1 - 4\/3)*p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes after 3:41 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**3 + g**2 + 3*g + 3. Let d be x(-1). Let o be 0 + -3 - (d - 7). Solve l - 5 = -o*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -26*v + 79 - 105. Let m(f) = -13*f**2 + f - 4. Let l(g) = -26*g**2 + 2*g - 9. Let i(a) = -4*l(a) + 9*m(a). Calculate i(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes before 3:26 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 136 - 95. Let a(q) = q**3 + 3*q**2 - 3*q. Calculate the remainder when g is divided by a(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 36610, 36707, 36870, 37099, 37394?\n\"Answer: 33*l**2 - 2*l + 36579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -10 + (-25 - -26 - (-3 + 9))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**2 - 4*z. Let p(o) = -52*o**2 - 2*o - 76. Let a(y) = p(y) - s(y). Find the first derivative of a(d) wrt d.\nAnswer: -102*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 541549968?\nAnswer: 2, 3, 11282291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-2))**(-47))**32 assuming s is positive.\nAnswer: s**3008","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*w + 5*w + w**2)*(-2 - 4 + 4)*(157818*w + 11*w**2 - 157836*w - 80*w**2) to the form d*w**3 + g*w**4 + q + s*w + c*w**2 and give g.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 85989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (36 - 39) + 0 + -4 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9784516 by -1.\nAnswer: -9784516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 125 - -364?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -3*b - 7. Let n be w(-3). Solve n*z + 8 = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 270 and 90?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -698*m**5*q + 4*m**3*q**3 + m**2*q**3 + m**2 - 36*m wrt m.\nAnswer: -41880*m**2*q + 24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14853401 is divided by 707300.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 570.8042015 to 0 decimal places.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1391*h**3 - 592*h**3 - 23*h**3 - 77*h**3.\nAnswer: 699*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 27136 and 1828?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -185 - -202. Let g = -147 - -157. What is the remainder when b is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5096 is divided by 430?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:44 AM and 2:07 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:30 AM and 7:16 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y**(-7)*y*y)\/y)\/y**(3\/4))\/(y*y\/((y\/y**(3\/8))\/y)*y**6) assuming y is positive.\nAnswer: y**(-113\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the third derivative of -f**8\/336 - 571*f**7\/105 - 72*f**4 - 1418*f**2. What is the second derivative of p(t) wrt t?\nAnswer: -20*t**3 - 13704*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 6900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 405 = 5*m, -3*k + 4*m + 245 = -m. Suppose -5*x - 2*c = -3*x - 52, -5*x + 5*c = -k. What is the remainder when 61 is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 2*a - 8. Let z(i) = 11*i**2. Let t(x) = 5*x**2. Let l(s) = 13*t(s) - 6*z(s). What is d(l(f))?\nAnswer: -2*f**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u**2\/2 - 9*u\/2 = 0. What is u?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -125260 less than 1\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0*((-4)\/4 - 0)\/(-1). Suppose z**2 + i - 1\/2*z**3 - 1\/2*z = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97*d + 64 - 964 = -83*d. Solve -3*b + 0*z - d*z - 21 = 0, 1 = b - z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the second derivative of a**5\/5 - a**4\/3 - 2*a**3\/3 + 2*a**2 + 8*a. Let f(o) = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 860?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 4*b = -4*s + 84, 4*b - 113 = 3*s. Let t = b - 2. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -9459, -18922, -28385, -37848?\n\"Answer: -9463*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*f + 0*f + 17*f + 11*f + 3*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*a = -j + 5, -24 = -14*j + 17*j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2649\/10 - -255. Find the common denominator of (-238)\/36 - 4\/18 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a millimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*k**2 + k**2 + 2*k**2)*(-135*k + 3*k**2 + 135*k - 7).\nAnswer: -6*k**4 + 14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -161\/120 and 77\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01809977 to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.05 and -42.2.\nAnswer: -2.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 22 and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -415.1 + 414. Let g = 0.86 - p. Round g to one decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -1. Let t(u) = -627495*u + 627493*u + 9 + 8. Give -3*d(y) - t(y).\nAnswer: 2*y - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 122272250 to the power of 1\/3, to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 759 at least 214600\/283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 5*p + 203. Let s(x) = -4*x - 199. Let a(z) = 3*c(z) + 4*s(z). Let y(u) = u**2. Calculate a(y(j)).\nAnswer: -j**2 - 187","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -6*y - 38. Let u be k(-7). Let b(r) = -31*r - 33. Let f be b(-2). Solve u = 5*c + f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*g = -6074 - 226. Calculate the common denominator of 282\/(-108)*1\/(-1) and 1\/(-6) + (-3822)\/g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 4380, 4373, 4364, 4353, 4340, 4325?\n\"Answer: -p**2 - 4*p + 4385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -36*h**3 - 9433*h**2 - 271*h + 758. Calculate s(-262).\nAnswer: 3116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 2041116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**2 - 4*j + 2. Let o be y(4). Solve -4*c = -o*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 41868 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5890 and 3048850?\nAnswer: 57928150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 56 and 7252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**3 + 3*p**2 + 4*p - 2. Let l be o(3). Suppose 3*t = 15*t - 24. Suppose t*v = 4*q - 35 + 15, l = 3*q + v. Solve d + q*d = 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21\/2, 0.2, 3\/4, -1\/7, -34 in decreasing order.\nAnswer: 21\/2, 3\/4, 0.2, -1\/7, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 18 + r - 19 + 0*r + 5*r**3 + (-5*r - r - r)*(-8*r**2 - 2*r**2 - 4*r**2).\nAnswer: 103*r**3 + r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/(-64)*(-220)\/(-11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3895629, -7791215, -11686801?\nAnswer: -15582387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**3 + 9*o**2 + 8*o + 41. Give u(-7).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of r**3 + 3*r**5 + 10*r**5 + r**2 + 0*r**5 + 0*r**5 wrt r.\nAnswer: 780*r**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -610 + 774 + 639 = 27*i - 709 for i.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -63047759*w**6 + 24434304*w**2 - 3*w wrt w.\nAnswer: -7565731080*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -109269176, 5, 2, -3 in descending order.\nAnswer: 5, 2, -3, -109269176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*l + 186*l - 1410 = 148*l for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m + 24 - 54 = -5*l, -m - 14 = -3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 15*j**3 - 7*j**2 - 3*j + 3. Let r(k) = -46*k**3 + 22*k**2 + 10*k - 10. What is 3*r(v) + 10*t(v)?\nAnswer: 12*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 634889825 and 4150.\nAnswer: 2075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -10021221000222 (base 3) to base 14\nAnswer: -337c55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 155 and -1.6?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11 + -7. Find the third derivative of 2*m**4 + 9*m**q - m**2 - 13*m**4 wrt m.\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 25*z + 17*z - 976752. What is the highest common factor of 171 and z?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 229 and -34089.88.\nAnswer: -7806582.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 12\/13  (b) -713  (c) 2  (d) -278\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, c: 2, v: 1, o: 1, r: 10, g: 5}. Give prob of sequence gcr.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/198 and -29\/17100.\nAnswer: 188100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 21220 + 11?\nAnswer: 21231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 1\/2356 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6030370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(-14))\/(220\/(-154)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**2 + 5*j - 2. Let q be s(-8). Solve -7*t - q = -1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**2 - 5*b + 4. Let w be q(3). Let x = -120220\/9 + 13343. Let z = x - -13. Which is smaller: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 - -6.3. Which is greater: o or 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/(-3)*(-771)\/(-1223834). Sort -2, g, 3 in decreasing order.\nAnswer: 3, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 149 + -140. Sort -2, d, 5.\nAnswer: -2, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 0 - (18 + -35)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -131 + 136. Suppose 42 = -4*a + 2*b, -2 = -a - b - g. What is the remainder when 152 is divided by (-642)\/(-24) + 6\/a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than 14\/3069377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q - 5. Let a be w(10). Suppose -a*f = 25, -3*f - 18 = -4*v - f. Suppose -2*h**2 + 6*h**2 - 2*h + 0*h**v - 2*h**3 = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + 3 = 16 - 28 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 874800 is divided by 125.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3716844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -12\/29039 in 9, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 772 + -762. What is the greatest common factor of j and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -x**3 - 6*x**2 - 4960*x - 583885 with respect to x.\nAnswer: -3*x**2 - 12*x - 4960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve s = -4*g + 13, -7*s - 19*g - 2 = -22*g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 2*p + 6 = 3*g, 4*g = -3*p + 3. Suppose -54 = -g*n - 6. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*c - 104*c = -4059. Calculate the remainder when 100 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 + 28*g + 58. Let z be j(-26). Suppose 10 - 352 = -z*w. What is the remainder when w is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 96 by -1728.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4230 - 2885. Which is smaller: l or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45539421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ebqeebeco. Give prob of sequence qe.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 2*z + 5. Let r = -11 - -10. Let w be n(r). Solve s = g + 5, w*s + 5 = 2*g + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1124531970 to the power of 1\/3, to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, k: 2, t: 1, o: 5}. What is prob of sequence otk?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is seven thirds of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 + -4. Factor 2*q**g - q**3 - 2*q**3 + 0*q**3 + q**5.\nAnswer: q**3*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -524b (base 15) to base 10.\nAnswer: -17396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 457857 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -2117*o**3 - 2611*o + 1298*o + 1313*o + 3*o**2 in the form t*o**2 + f + d*o + q*o**3 and give q.\nAnswer: -2117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 464146336 - 7912*t - 464146336 as v + r*t and give r.\nAnswer: -7912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**3 + 27*q**2 + 23*q - 43. What is the units digit of p(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 106*i + 52. List the prime factors of q(10).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the second derivative of z + 7*z**3 - 11*z - z**3 - 4*z**3. Let j(p) = p**3 + 3*p**2 - 3*p + 5. Let w be j(-4). Give s(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*a - 1320 = 22*a. Let j = a + -112. Let d(s) = -s**2 - 4*s + 4. Let l be d(-4). Solve -j = l*z - 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 + 4)\/(2\/10). Let a(k) = 2*k**3 - k**2 + k + 4. Let f be a(3). Let h = o + f. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6438\/30 - (-9)\/(-15). Suppose -4*j = -2*y + g, 3*j - 303 = -4*y + y. Calculate the remainder when y is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {o: 4, b: 1, c: 3, e: 9, z: 1}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c*c\/(c**(-2\/7)\/c))\/c*c\/((c**3*c)\/c)*(c*c**(-2\/5))**23)**(-35) assuming c is positive.\nAnswer: c**(-528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 33.57526 kilometers in meters?\nAnswer: 33575.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffffnnnffnnnffnnnnf. Give prob of picking 2 f.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 16*z - 15*z + 1449836 = 0, -1933103 = -4*i + 3*z. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 176060369?\nAnswer: 277, 397, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 5) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1*3*(-10)\/6. Let u(j) = -4*j - 5. Let a(l) = 7*l + 10. Let f(r) = n*u(r) + 3*a(r). Determine f(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w**2 - 2*w**2 - 27*w - 18*w - 241 + 317 + 11*w = 0. Calculate w.\nAnswer: -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 75.44177 micrometers in nanometers?\nAnswer: 75441.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-k - 2 + 2)*(0 - 72 - 16) - 3*k + 2*k + 4*k + (-3 + 1 + 1)*(0 - 2*k + 0) to m*k + r and give m.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -954288 divided by -4\nAnswer: 238572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (6\/(-2))\/(6\/(-4)). Let r(v) = -v**h - 2 + 2. Let b(q) = 662*q - 329*q - 340*q. Give r(b(i)).\nAnswer: -49*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f**4\/3 + 68008*f**3\/3 - 1089040*f**2\/3 + 1906016*f\/3 = 0. Calculate f.\nAnswer: -17018, 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**2 + 5*n - 2. Let j be u(4). Suppose l + j*l = -57. Let d = l - -27. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 4*x - 3*x**2 + 3*x**3 - x - 5 - 3*x**2 - 2*x**3. Is b(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -24 divided by 429\nAnswer: -8\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 4*v. Let d(r) be the second derivative of -r**3\/2 - 2*r. Determine j(d(z)).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does -20\/25099 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2.2719*-148.5\nAnswer: -337.37715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 57 and 3838?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3887063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -220\/23 bigger than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 2 - (-4 - -5 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**3 + 4*i**2 + 5. Let j be z(4). Let g = 0.1 - -0.9. Let q = 3 - g. What is the closest to -2\/7 in q, j, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10925*r - 10964*r + 741 = 0 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 69249.51l?\nAnswer: 69249510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2875117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 492 = -8*v - 60. Let c = -21 - 43. Let h = c - v. What is the least common multiple of 12 and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -484 + 285.8. What is g rounded to the nearest integer?\nAnswer: -198","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/27  (b) -1\/3  (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -19448, -19447, -19446?\n\"Answer: s - 19449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wtjvtktttttttkejevtj. What is prob of sequence jv?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 514 + -116. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + 1218 = 198. Suppose 0 = -4*d - d - r. Let y = 16 - d. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -0.03  (b) -0.5  (c) 58\/7  (d) 1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-124)\/102 + (13 - (-455)\/(-21) - -10).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the third derivative of o**6\/30 - 2*o**3\/3 + 7*o**2. Differentiate c(g) wrt g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -60, -2\/17, 160.3, -2\/3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes after 2:58 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**2 + 6*t + 10. Suppose 50 + 45 = 5*p. Suppose 9 + p = -4*b. Does 5 divide o(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -3*q**2 + 3*q - 1. Let t be u(2). Let s = t + 17\/2. Which is the closest to -1?  (a) -3  (b) s  (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 - 1201311002033?\nAnswer: -1201311002110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (13 + -7 + 1 - 8) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (13*2\/(-10))\/(153\/765)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*b - 464 + 1220. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-28)\/(-1771))\/((-290)\/1595)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/5 or -204.302?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 323363.313s to weeks.\nAnswer: 0.5346615625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the second derivative of -12*x**8\/7 - 5*x**4\/12 - 11*x**3\/2 - 28*x + 3. Find the third derivative of f(y) wrt y.\nAnswer: -11520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 - (-5 - -11) - -7. Let b = 0.03 - -18.97. Let j = 24 - b. Sort j, 4, -3\/8, y.\nAnswer: -3\/8, y, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 79773497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -45*p - 123. What is k(0)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that 4*n**2 + 4012072*n - 20060460 = 0.\nAnswer: -1003023, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 140 + -20.01875.\nAnswer: 119.98125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-3)\/r)**16)**27 assuming r is positive.\nAnswer: r**(-1728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -2*p**2 + p - 4. Let y(j) = 4*j**2 - 3*j + 9. Let u(g) = 5*x(g) + 2*y(g). Let h be (-1)\/((-1)\/(-2 + -4 - -4)). Give u(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 22*c**2 - 5. Is f(-3) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1830 - 1027. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 702982681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22\/((3422\/58)\/59).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the third derivative of m**5\/30 + 11*m**4\/12 + 2*m**3\/3 - 59*m**2. What is the first derivative of j(p) wrt p?\nAnswer: 4*p + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.00453 and -2022.\nAnswer: -2021.99547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/2  (b) -967  (c) 0  (d) -2  (e) 2  (f) 21\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 652503088*g*w**2 - 130*g*w + 1686714*g wrt w?\nAnswer: 1305006176*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10395, 9833, 9271?\nAnswer: 8709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -23245314 (base 6) in base 2?\nAnswer: -10110000001101101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -8844*s + 6199617. Give f(701).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -317 - -400. Solve -3*f = 77 - w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -38*n - 319. What is the remainder when 436 is divided by k(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -451242 (base 9) to base 12.\nAnswer: -110262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l = -34, 4*l - 66 + 32 = b + 37 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5196*y + 8 = 2*k - 5192*y, 0 = 5*k - 4*y - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2516642 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -4 + 4\/1 + 53183 + -2 + 0.\nAnswer: 3, 19, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 23 - 15 = 0. Let k(u) = u + 17. Let y be k(-11). Let v be (-14)\/(-3) + y\/18. Solve -b = 3*b - v*g + 5, t*g = -3*b + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110011101011111 - 1?\nAnswer: -110011101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*(-1 + 6\/5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(363)*2.\nAnswer: 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1052 (base 7) to base 3\nAnswer: -112002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6.1 + 0.1. Let a = -6614.5643059 + 6620.5643. Let q = u + a. Round q to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (45\/40)\/((-6)\/4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes before 11:12 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2917242787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 401*746.61\nAnswer: 299390.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 - 8 - (0 + -1 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t + g - 13, -2*g - 2*g = -3*t + 53. Suppose -2*u + 438 = -2*s, 3*s = -0*s - t. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o + 6*o. Sort -16, -2, o.\nAnswer: -16, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*f + 10 = -9*f. Suppose -12 = f*d - 6*d. Does 7 divide 23\/2 + d\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*l = 4*l - j + 22, 4*j = 24 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*r**2 - 5*r**2 - 68*r**2)*((2*r - r - 2*r)*(5 + 1 - 4) + r - 3*r + r).\nAnswer: 204*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -337*z. Let i(b) = -10*b. Calculate o(i(t)).\nAnswer: 3370*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 - (-6)\/(-6)) + 6. Let y(r) = 0*r + 4*r**2 + 1 - 5*r**2 + 3*r. Let g be y(4). What is the second biggest value in q, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37156 divided by -4.\nAnswer: -9289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -589136 or -589119?\nAnswer: -589119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 290, -1, -2, -66 in increasing order.\nAnswer: -66, -2, -1, 290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.12348498 to 3 dps.\nAnswer: 0.123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1607877.\nAnswer: 3, 17, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 592, 1353, 2200, 3175, 4320, 5677?\nAnswer: 7288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (72\/(-66))\/(4 - (-182)\/(-44))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:46 AM and 5:19 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*p - 20887 = 20*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 82055987.\nAnswer: 13, 277, 22787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -5*d**2 - 26*d - 6. Give m(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -24 - -23.17. Let d = v - -1.83. Let i = 19 + -18.99. What is the second biggest value in d, 5\/2, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -1 + 3*t**2 - 3*t**2 + t**2. Let b be a(-3). Suppose -3*n - 3*x + 21 = 0, 2*n - b = -4*x + 8. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 148514120*f**3 - 261367613*f**2 wrt f?\nAnswer: 891084720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes after 6:53 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t + 12. Let h be o(8). Suppose -h*f - 5*k - 33 = -8*f, k = -5*f + 34. Suppose -f*v + 12 = -3*v. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -29?  (a) 0.5  (b) -0.1  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 1037*g - 1714. Is h(21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*a = -66*a + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(-10))\/((m**(-10)*m)\/m)*m**7\/m**(2\/13) assuming m is positive.\nAnswer: m**(362\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**2 + 5*h + 11. Let d(p) = p + 2. Let m(w) = -7*w**3 - 71*w**2 - 5*w + 61. Let o be m(-10). Suppose -7*n = -3*n + 8. Give n*l(v) + o*d(v).\nAnswer: 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*m*m*m\/(m\/(m*m*m**(-2\/141)*m)))\/(m*m\/(m*m**(3\/5))))**6)**26 assuming m is positive.\nAnswer: m**(204776\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -44589089436 and -4?\nAnswer: 44589089432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -16 - 2*o**2 - 17*o + 17*o - 2*o**2. Let p(a) = -2*a. Give w(p(t)).\nAnswer: -16*t**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18\/997 - 889\/5982. Sort -7, 14, v, -1, 2\/11 in descending order.\nAnswer: 14, 2\/11, v, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**2 + 1. Let x(q) = -15*q**2 - 5*q - 6. Let v(b) = -4*h(b) - x(b). Let c(n) = -7*n**2 - 3*n - 1. Give 8*c(j) + 5*v(j).\nAnswer: -j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6304824 and 2376?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -41 - -61. Suppose -5*f = -2*s - p, s - 4*s = 0. Let m(u) = -3*u**3 + 2*u**2 + 2*u + 1. What is the remainder when f is divided by m(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14 + 23. Let k = g + -10. Which is the nearest to k?  (a) 3\/4  (b) 1  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k - 29 - 181. Suppose 3*h + k = 5*q, -9 = 3*q + 5*h - 38. Calculate the remainder when 41 - ((11 - 4) + 1) is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:02 PM and 11:57 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 367.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -816*q - 338 + 197 - 1751*q + 141 to l + k*q and give k.\nAnswer: -2567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 4 - 3)*(-2 + 2 + 1)*(d**5 - d**5 + 2*d**5 + (d - d**4 - d)*(-2*d - d + d)).\nAnswer: -8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 623 divide 15637923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 50 = -5*g, w + g + 15 = 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of -t**7\/2520 - t**6\/360 - t**4\/12 + 3*t. Let p(k) be the third derivative of v(k). Factor p(j).\nAnswer: -j*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -30\/17 and 0.082 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -5246 (base 7) in base 13?\nAnswer: -ac1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16419667?\nAnswer: 11, 19, 251, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**(1\/3))**(12\/17))**(5\/3) assuming y is positive.\nAnswer: y**(40\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 211163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1242 and 108943434.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gggd when four letters picked without replacement from {d: 15, g: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3\/4 - 29*b**2\/2 + 1105*b\/4 - 1734.\nAnswer: (b - 24)*(b - 17)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = -4*s - 35 + 34, 4*u + 50 = 5*s. Solve 6*q + 0 = s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 5*j - 6 = 0, q - 17 = -j. Suppose 525 = 59*l - 52*l. Calculate the remainder when l is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -4*g - 6. Let z(p) = 8*p + 12. Determine 13*c(s) + 6*z(s).\nAnswer: -4*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.126  (b) 8\/953  (c) -3  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(468)*1 - (sqrt(13)*1 + sqrt(13) + 0)**2.\nAnswer: -52 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*v - 2*v + v + v in the form r*v + u and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 32876208?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/31 at least as big as -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a\/(a**(-1\/11)*a))**(2\/49) assuming a is positive.\nAnswer: a**(24\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1\/5)\/(r*(r**5\/r)\/r))\/(r**(-3)*r*r*r**(-6)) assuming r is positive.\nAnswer: r**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p + 1. Suppose 2*i + b = -11, -6 = -2*i - i + 3*b. Determine g(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 820577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d + 89 = 9*d - 5*v, -4*v = 5*d - 99. Suppose -3*f = 2*k - 4, k + 5*f - 3 = -1. Let c = 19 + -5. Solve -p - k*q + c = 0, -2*q + d = 5*p - 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 255*x - 3528. Calculate the highest common divisor of 346 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 9  (c) 0  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -14*i - 8. Let t(o) = 5*o + 3. Let f(q) = 3*a(q) + 8*t(q). Let y(g) = -2 - 14*g + 5 - 3. Calculate y(f(w)).\nAnswer: 28*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 38799049 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 1, 0 in decreasing order.\nAnswer: 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = b - 3*b. Let f(y) be the third derivative of -y**4\/24 - y**3\/2 + 7*y**2. Let w(z) = -1. Let a(j) = b*f(j) + 3*w(j). Let k(h) = 3*h. What is a(k(n))?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1\/2)\/(2\/12). Let c(s) be the third derivative of -i*s**2 - 1\/40*s**6 + 0*s**3 + 1\/2*s**4 + 3\/5*s**5 + 0 - 3\/14*s**7 + 0*s. What is a in c(a) = 0?\nAnswer: -2\/3, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 13610292?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/3 or -376?\nAnswer: -376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-1) - 2 - (9 + -4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*u - 927 = 230. Let p = 139 - u. What is the highest common factor of p and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.2 - 17748.516.\nAnswer: -17747.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-4))\/((-55566)\/(-5488))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -0*g + 4. Suppose -b - 5*a = -65, -15 - 94 = -g*b - 3*a. Suppose -b = -v - v. Solve 10 = 4*o - 2*h, -3*h = 2*o - 0*h - v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 219823038 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -2*a**3 + 2*a - 8. Let d be n(-8). What is d rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 552 and 1519035.\nAnswer: 12152280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -823, -2181, -3539, -4897, -6255?\nAnswer: -7613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + 4. Suppose -2*v - m - m + 184 = 0, -b*m = 0. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 252*i**5*x + 10*i**2*n**3 - i**2*x - 411*i*n**3*x + 3*n**3*x + 2*n**2*x - 2*n*x - 4*n wrt i?\nAnswer: 5040*i**3*x + 20*n**3 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in -3\/4, -2, -6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*g**4\/9 + 542*g**3\/3 - 25384274*g**2\/9 + 1754289182*g + 438748578 = 0 for g.\nAnswer: -2129, -1\/4, 963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -4035 (base 6) in base 11?\nAnswer: -737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -121\/4182 and 89\/246?\nAnswer: 4182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15*i + 2*i**3 - 2 + 746*i**2 - 21*i - 578*i**2 wrt i?\nAnswer: 12*i + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 0, 0.2178, -147?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -125 (base 6) to base 9\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -77, 2829 in ascending order.\nAnswer: -77, 0, 2829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2372, -2085, -1798, -1511?\n\"Answer: 287*f - 2659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**3 + 2*o**2 + 2*o - 1. Let t be x(3). Let k = 31.5 + -32. What is the closest to -1 in k, t, 1\/6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9.9 times -437652\nAnswer: -4332754.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence byb when three letters picked without replacement from {l: 2, q: 1, o: 1, c: 1, y: 8, b: 2}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/9*(76\/6)\/((-17)\/(153\/6))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 + 3. Let u(f) = f**2 + 3*f + 3. Let y be u(c). What are the prime factors of y\/(-1)*8*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/3 or 130650911?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -9 - 1. Let h(s) = -s + 2. Let y be h(-3). Suppose -5*a = -y - 5. Solve -o = -x*o - a for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2021580 and 1170.\nAnswer: 26280540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -63653 by -53.\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31 = -w + 3*x + 28, 0 = 4*w + 5*x - 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6284\/4703 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -30 + 30.3. Which is the closest to w?  (a) 2  (b) 1\/2  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tvkkhhkvkvxxxhtkhdvk. What is prob of sequence dx?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 609 - 6 - (2 - 2). Let n = o + 32. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -47 - -71. Let h be 2\/(-11) - x\/(-11). Let d(b) = -b + 2. Let q(v) = 4*v - 4. Let t(w) = h*d(w) + q(w). Let l(r) = -r. Calculate t(l(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1467 divided by 35286\nAnswer: 489\/11762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6170331 micrograms to tonnes.\nAnswer: 0.0000000000006170331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 67072500 rounded to the nearest 100000?\nAnswer: 67100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*g - 15 = 13*g. Let j(d) = -2*d - 10. Let y be j(-7). Suppose 0 = 4*n + 4 + 4, 0 = -4*a - y*n + 212. What is the highest common factor of g and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -9, -82, -189, -318, -457, -594?\n\"Answer: 2*i**3 - 29*i**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-18 + 6)\/(-6))\/2*5. Solve -5*n + 20 = 0, -2*j - 3*j - 40 = -m*n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -4*(-5)\/((-40)\/(-6)). Suppose 0 - a = v. Does -2 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (39 - (10 - 4)) + 115 + -72?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 117.934 times 0.029?\nAnswer: 3.420086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 + -15a73b2b?\nAnswer: -15a73b27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**3 + 3*a**2 + a - 4. Let h = -15947 - -15944. What is p(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3139\/16 + 196. Let b = a - -87\/208. Is b < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 plus 82422875?\nAnswer: 82422875.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 651*l**3 + 5 - 3475*l**3 + 5*l - 14 - 34 - 141*l**3 wrt l.\nAnswer: -17790*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + (5 - ((-8 - (-10 - 1)) + 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 18\/(-12) + 3\/2. Suppose 5*c = -5*v + 120, t*v - 5*v + 112 = 3*c. Suppose -v = p - 6*p. Solve -5*z = -p*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 270*v - 3.\nAnswer: 270*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.5  (b) -43  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2. Let f(a) = 4*a**2 - 10*a - 7. Let n(w) = -f(w) - 2*j(w). Let s(l) = 2*l**2 - 3*l - 2. What is -2*n(r) - 7*s(r)?\nAnswer: -2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 3*a + 368. What is the least common multiple of 9\/(-12) + a\/(-12) and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -350 - -346. Let y be 15*t\/36*-3. Solve -y*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r + 2. Let p(j) = j + 1. Let m(v) = -2*p(v) + w(v). Let t(i) = -12*i**2. Determine t(m(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 5*a - 21 = 0. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 36061983118157 and -4.\nAnswer: 36061983118153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -4 - s + 4 - 6*s - 2. Let d(a) = -3*a - 1. Determine 5*d(q) - 2*g(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.9 - 3. Let g = -1.9 + m. Put g, -1\/2, -4 in decreasing order.\nAnswer: -1\/2, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = 3*x + 3, -8*x - 4 = -5*n - 10*x. Factor -14*f**2 - 9*f**n - 12*f - 3*f**3 + 11*f**2.\nAnswer: -3*f*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.24 and 1502?\nAnswer: -1862.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 7*b + 7 = -4*v, 3*b + 5 = -2*v. Suppose -4*j + 114 = 2*a - 4*a, -90 = -3*j - 3*a. What is the remainder when j is divided by v + 8 - (0 + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18747569969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -6*u + 12. Suppose 0 = -u*y + 581 - 218. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the third derivative of 0*t**6 + 0*t - 1\/3*t**3 + 1\/42*t**7 + 0 + 0*t**5 + 2*t**2 + 0*t**4. Differentiate n(v) with respect to v.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 957330453.\nAnswer: 3, 79, 1559, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**2 + 4*r + 3. Let w be t(-7). Solve 3*f - 9 = -m, 4*f - f = 4*m + w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7960 by -8.\nAnswer: -995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*k**2*s**3*w - 11*k**2*s**2*w**2 - k*s**3*w - 113*k*s**2*w**2 - 2*k wrt k?\nAnswer: -10*s**3*w - 22*s**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 205 a factor of 91840869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1050 by -25.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 30*h - 609037 + 92947. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -552\/19 - -2741\/95. What is the closest to -4 in d, -3, -11, 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 427*u**4 - 144*u**2 - 174*u**2 - u**6 + 135*u**4 wrt u.\nAnswer: -120*u**3 + 13488*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m - m + 0*m)*(5*m - m - 5*m) + 162*m - 2592*m**2 - 78*m - 84*m + 205*m**2.\nAnswer: -2385*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**2 + 3*c - 3. Let m(k) = -k + 1. Let s(n) = 15*m(n) + 5*x(n). Let h(g) = 1 - 1 + 40*g - 42*g. Calculate h(s(v)).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 15\/394 and -87\/10.\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -109142.33665 and -84?\nAnswer: 109058.33665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 + (-159)\/1118 - (-6)\/39. Sort q, 5, 0.\nAnswer: 0, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 6.386389 millennia?\nAnswer: 76636.668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1227.1 - -1227. Which is the nearest to w?  (a) -0.4  (b) -8  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 - 8*y**2 - 10*y + 12. Let v be b(9). Suppose 4*s + 4*h = 84, 4*s + h - v = 72. Calculate the highest common divisor of s and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5386.9 times -0.1?\nAnswer: -538.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 26784\/(-58032) - ((-879)\/(-546) - 2)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 50*j - 28. Let n be d(6). Suppose 0*v = 8*v - n. What is the remainder when 66 is divided by v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -bbd (base 15) to base 5.\nAnswer: -41103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -14 - -48. Let d = -32402430.9999948 + 32402397. Let z = b + d. Round z to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 5*z + 190 = -200, 5*z - 2100 = -5*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2979 - 47671\/16. Sort 5, p, 4 in descending order.\nAnswer: 5, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -77 - -3887?\nAnswer: 3810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**3 + i**2 + 3*i. Calculate k(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.0685 + 6.5285. Let s = -1.46 + a. What is the nearest to -4\/7 in s, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6943295144 to the power of 1\/3, to the nearest integer?\nAnswer: 1908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 11 = -6. Let c = -11 + t. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 + -2)\/(2\/(-2)). Factor -89*u**2 + 42*u**3 - 8 + 48*u + 0 + 7*u**n.\nAnswer: 2*(u - 1)*(3*u - 2)*(7*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 240251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p and 1 f when four letters picked without replacement from {p: 19, f: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b - 2*d = 2, -b + 34*d - 29*d = 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 35 - 36.8. Let q = d + 1.852. Round q to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/10)\/(((-72)\/30)\/(-6))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61 = -2*w - o, w + 4*o + 48 = -0*o. Let t = -15 - w. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 263734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 20 - 50. Let f = 61\/2 + x. Suppose -2*m + r = 0, 2 + 16 = -m - 4*r. What is the smallest value in f, m, 1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tqtxx. What is prob of picking 1 t, 1 q, and 1 x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/3)\/(-10)*((-75)\/(-20))\/3.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 105 divide 1050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1525 (base 10) to base 2.\nAnswer: 10111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -5, 91, 11, 2.\nAnswer: -6, -5, 2, 11, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4  (b) -0.3  (c) -2\/11  (d) -104  (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1314, 2631, 3946, 5259, 6570?\n\"Answer: -m**2 + 1320*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y + y + 4*y)*(-2*y**2 + 0*y**2 - y + 0*y**2)*(-3*y + 0*y - 5*y).\nAnswer: 64*y**4 + 32*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -3*i + 51. Let p(n) = 1. Give -306*p(r) + 6*z(r).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -57\/20 and -97\/340129188.\nAnswer: 1700645940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 275 and -26.14.\nAnswer: -7188.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*n = -69*n - 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2*b + b - 2*b + 6*b + (1 - 4 + 1)*(3*b + b - 3*b))*(-3*b**2 - b**2 + 5*b**2).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 14583.475187 to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2704 and 83382?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of t**2*v**2 - 4959*t*v**3 - 16*v**3 + 72*v**2 - 3 wrt t?\nAnswer: 2*t*v**2 - 4959*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xmxxmxxmmmxm. Give prob of picking 2 x and 1 m.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35 (base 16) to base 9.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9497, 18990, 28483, 37976, 47469?\nAnswer: 56962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/56)\/(2290\/(-48090))?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of 5 and 893147.\nAnswer: 893152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 188170335?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.23 and 0.1?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in thirty-one sixths of a year?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 1767.1568 to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes before 5:52 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -45184970 by -895.\nAnswer: 50486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70139970?\nAnswer: 2, 3, 5, 479, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1758761, 3517574, 5276387?\n\"Answer: 1758813*a - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -459 + 462. Suppose 18 = j - 3*j + 3*i, 3*j - 4*i + 26 = 0. Let w = j + 10. What is the second smallest value in -5, w, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f = -16*z + 20*z + 3, -3*z + 5*f = 11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**2 + 7*o + 4. Let n be m(-5). Let p be 5 - n\/(12\/(-10)). Let j(h) = -h**3 + 2*h**2 - h + 4. Let q be j(p). Solve -w = -f - 4*f - 24, -w = -q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**2 - 7*k - 8. Let v be n(6). Let d be v\/(-8) - 18\/24. Suppose -o + 38 = 34. Solve -o*y + 10 = 5*g + d, 0 = 5*g - 3*y - 37 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 - 6*w - 5. Let v be n(-3). Solve -v*i + 13 = -7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17 + 87. Let k = -38 + t. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -57684.4*9.\nAnswer: -519159.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 140517595 to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1288*j - 650.\nAnswer: 1288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 799358281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5840\/561 + -178\/17. Which is the nearest to -0.1?  (a) 4  (b) s  (c) -10  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**3 + o + 32. Suppose 2874 = 5*u + 3*i, 27*u - 25*u = 2*i + 1156. What is the remainder when ((-100)\/(-12))\/(80\/u) is divided by a(0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48838 + 48678 = 160*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3\/380 and -49\/7801172.\nAnswer: 39005860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + -120122?\nAnswer: -120202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.9?  (a) 27  (b) 0.2  (c) -0.32  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from {e: 10, j: 1, v: 9}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3820 divided by -2?\nAnswer: -1910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 7383979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 154695 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -21163 - -21168. Let z(q) = 3*q - 2. Let n(m) = 3*m - 1. Suppose -3*f = -3*r - 3 - 9, r + 4*f = -4. Calculate o*n(c) + r*z(c).\nAnswer: 3*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 2  (b) -0.5  (c) -2\/5  (d) -74\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*v - 759 - 1145. Let r be v\/(-2) + (-32 - -30). Round r to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**2 - 11*r + 17. Let o be k(-12). Suppose -20 = -0*p - o*p. Suppose 0 = -p*q + 5 + 7. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00545069704 to 7 dps.\nAnswer: -0.0054507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-6)\/12*(3 - 23) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2, 1\/6, -14.8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*y**5 - 2*y**5 + 0*y**5 + (3*y + 2*y**2 - 3*y)*(-4*y**2 + 4*y**2 + 2*y**3) - y**3 - 815*y**4 + 815*y**4 - 16*y**5 - y**2.\nAnswer: -11*y**5 - y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8610 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-40)\/(-48))\/(13\/((-312)\/60))*-13.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -7*n**3 + 5*n + 5. Suppose 4*y - b + 11 = -0*y, -b + 7 = -2*y. List the prime factors of w(y).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 = 2*h + 6. Let q(s) = -6*s - 39. Let o be q(-7). Suppose k = -7*f + 4*f - 10, 2*f - o*k = -h. Sort -3, f, -2 in descending order.\nAnswer: -2, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 138 divided by -46\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 3, -1, -27, -81, -169?\n\"Answer: -w**3 - 5*w**2 + 18*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2947055.2 rounded to the nearest 1000?\nAnswer: -2947000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -248, -999, -2244, -3977, -6192, -8883, -12044?\nAnswer: -15669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {e: 7, g: 4}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 190195217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 2 = 2*u, 0*u - 5*t + 16 = 3*u. What is the third derivative of u*l**2 + l**2 - 9*l**5 + 3*l**5 wrt l?\nAnswer: -360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k + 3*k + 3*k + (-1 + 1 + 1)*(-4*k + 2*k + 0*k) + (94*k - 187*k + 122*k)*(1 + 3 - 6))*(4 + 2 - 4).\nAnswer: -112*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.9563 + -0.0437. Which is the biggest value?  (a) 5  (b) 4\/7  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 8, d: 5, f: 4}. What is prob of sequence pff?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 7 + -42 + -7 + 93\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 71 + 13 + 70\/(-10). Which is the third biggest value?  (a) -1\/3  (b) w  (c) 3  (d) -2  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 406 * -0.016.\nAnswer: -6.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ryyr when four letters picked without replacement from yyrryyyyrr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:02 PM and 3:46 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 24 = -3*w - 37, 5*k = -5. Let u = w - -23. Let l = -2.3 - -2. Which is the smallest value?  (a) u  (b) l  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30145.\nAnswer: 5, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -36 - -51. Let k be 63\/1 + (-15 - -13). Let i = k - 56. Solve -3*a + 28 = -5*s, -i*a - v = -3*s + 7*s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -175, -605, -1329, -2353, -3683, -5325, -7285, -9569?\n\"Answer: -t**3 - 141*t**2 - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4524 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Do -56541 and -56542 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3220664 + 3215251.061. Let r = 5407 + z. Let c = r - -6. Round c to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 431 and 372.\nAnswer: 160332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -14*o**2 + 9*o + 5. Let l(g) = -g**2 + g + 1. Give -6*l(r) + w(r).\nAnswer: -8*r**2 + 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 1 q when three letters picked without replacement from vvqqvqtqqtqvtqvtvvt.\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 3*r - 5. Let p(k) = -4*k + 12. Let m(a) = -5*d(a) - 2*p(a). Let z(t) = -t - 3. Let s be z(-5). Give m(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 divided by 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u**4 + 250*u**3 - 240*u**2 - 82170*u - 81675 = 0 for u.\nAnswer: -15, -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 11780, 21079, 30378, 39677?\n\"Answer: 9299*y + 2481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13, 40, 73, 112, 157, 208?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 0.9963724ns?\nAnswer: 0.0009963724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 - 2)*(-127*n**3 - 90*n**3 + 50*n**3) - 3*n**3 + 0*n**3 + 2*n**3.\nAnswer: 166*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) 3\/5  (c) -3\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -6*m**2 - 5. Let q(p) = 147*p**2. Calculate r(q(k)).\nAnswer: -129654*k**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10449, -12879, -15309?\nAnswer: -17739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -2*p - 2. Let h be d(-6). Suppose -5*k + 10 = -h. Find the second derivative of l + k*l**2 - 4*l**2 + 2*l**4 wrt l.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50096\/620 - 94 - 4*(2 + (-34)\/8)?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 689, 684, 675, 662?\n\"Answer: -2*y**2 + y + 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 5.314254ml?\nAnswer: 0.005314254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35 is divided by (-45)\/3*(1 + 33\/(-15)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -5*p**2 - 491*p - 1982. What is m(-94)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 3*d**2. Let w(h) = -h - h - 3*h + 2*h. What is w(b(g))?\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 29065 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: Let i(o) = -12239*o**2 + 24*o - 2. Let y be i(2). Round y to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2504*247\/61750 - (-11 + 1)?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**3 + 8*h**2 + 47*h - 63. Calculate s(13).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -20*v**3 - 18476*v**2 - 1730464*v + 346832 = 0.\nAnswer: -818, -106, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 27  (b) 0.3  (c) -5  (d) -2  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 18422 and 604?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -0.2, 62, 0.02 in decreasing order.\nAnswer: 62, 0.02, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 398094.\nAnswer: 2, 3, 43, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 5, 7, 46 in increasing order.\nAnswer: -1, 5, 7, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 107900992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3908869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-265)\/(-318) + 3\/(-6))*((-161)\/21 - -8)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 13 = 4*h. Let k = 21 + h. What is the least common multiple of k and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-4)*f)\/f*f**(-2)*(f*f*f\/(f\/(f**(-4\/7)\/f))*f*f)\/f*f*f**(2\/5)\/f assuming f is positive.\nAnswer: f**(-146\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 36*m. Let p = 3 - 2. List the prime factors of g(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:40 PM and 5:00 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 618001, 1236003, 1854003, 2472001, 3089997?\nAnswer: 3707991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.394 + 9.994. Which is bigger: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -162.233 - -0.233. Let o = h - -162. What is the nearest to 0 in o, -6, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 33*n + 1444 = 0. Calculate the remainder when 109 is divided by n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from gtioizg?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -w**4\/8 - 7*w**3\/8 - 9*w**2\/4 - 5*w\/2 - 1 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 - 1. Let u(x) = -11 - 15 - 19*x + 5*x + 31 - 21*x. What are the prime factors of u(a)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 44469 and 1098.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -37162 or -37163?\nAnswer: -37162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -3, -0.1, -13, 5\/4, -4\/3, -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1310 = 4*o + 2*j, -3*j + 1335 = 4*o - 6*j. Calculate the greatest common divisor of o and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**2 + y. Let t(n) = -n**3 - 6*n**2 + 7*n. Suppose 5*h = -3 - 17. Let s(i) = h*j(i) + t(i). Give s(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 2754*m**3 + 9*m**2 - 85*m + 129. Is 264 a factor of l(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b and 2 n when four letters picked without replacement from nnnbnnbbnnnnnnbnbb.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1268165 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 9239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sbbqqbszuszsuxbbs. Give prob of picking 1 x, 2 s, and 1 q.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - -5 - (3 + -33 + 4 + 13 + 4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/5  (b) -1.05  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4929923*p - 18*p**2 + 4929923*p.\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.798 and 11.\nAnswer: 19.778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes before 2:30 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -113 - -440. Let n = -184 + q. Calculate the greatest common divisor of 13 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 7*s - 20. Find the second derivative of -15*n - 17*n + s*n - 58*n**2 - 38*n wrt n.\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6207 divided by 4?\nAnswer: 6207\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 5*p**4 + 704870*p**3 + 31711185*p**2 + 304412580*p + 837118260 = 0.\nAnswer: -140929, -33, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*h**2 - 27*h**2 - 31*h**2.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 3*l = 3, 0*t + 40 = -5*t + 4*l. Suppose -5*n + 3 = -2. Let s(i) = -3*i**3 + i**2 - 1. Let v be s(1). Sort n, t, v in decreasing order.\nAnswer: n, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -118848204*o - 17607968 wrt o?\nAnswer: -118848204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -27 + 20 - (-2 + 8 - -3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3140073647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 - -2. Suppose -6*h = -10*h - 3*n + 59, 0 = -5*n - 15. Put h, s, -2 in decreasing order.\nAnswer: h, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2674107310 to the nearest one hundred thousand.\nAnswer: -2674100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -702*a + 701*a. Solve -n + 17 = a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 207 = 1034*l + 15717 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1 - 4)*19*(-30)\/(-570). Which is the third biggest value?  (a) g  (b) -779  (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 6075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 - 7. Let z be -3 + 12 - (4 + -2). Let a = z + o. Solve 28 = a*r + 8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = -31*x + 112 + 12. Which is the nearest to 0?  (a) 0  (b) -2\/5  (c) -2\/11  (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2, 0, 4, 1969 in decreasing order.\nAnswer: 1969, 4, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 649*f + 136*f + 71*f.\nAnswer: 856*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 - 42?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 3*n. Let u = -59 - -62. Suppose -2*w = -4*w + u*y + 64, 3*w - 3*y - 99 = 0. Suppose 3*t = -2*t - w. Let o(j) = 9*j. Give t*l(d) + 2*o(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 58781 by 2.\nAnswer: 58781\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**1)**(-2\/41)\/(c**(2\/7)\/c*c**2))\/(c**(1\/4)*c**(-1)*(c\/(c*c**0))**(2\/55)) assuming c is positive.\nAnswer: c**(-671\/1148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*i**2 - 4*i**2 - i + 0*i to the form s + y*i**2 + f*i and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2*21\/(-35)*(-320)\/3. Suppose 141*u - 39 = i*u. Solve 6*s = u*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2593652 - 2593652 - 522*m.\nAnswer: -522*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the first derivative of -3*t**3 + 4*t**3 + t**3 + 6*t - t**3 - 7. What is the derivative of v(y) wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:32 AM and 11:16 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 7*p**2 + 549*p**3 - 268*p**3 + 8*p - 6 - 282*p**3. What is o(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ugppuwpppguppgguuw. What is prob of sequence gu?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 31285045 to the nearest integer?\nAnswer: 5593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -347a0952 + -2?\nAnswer: -347a0954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.471908 rounded to 3 dps?\nAnswer: -2.472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/95*(1 + -2)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 8*g = -93. Let k = -36 + g. Let o(y) = y**3 - 6*y**2 - 4. Let i be o(6). Put i, k, 3 in increasing order.\nAnswer: k, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 4*d**2 - 2*d - 1. Suppose 3*c - 5*c = 2. What is the smallest common multiple of l(c) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/(-6) - (-110)\/(-3). Suppose 0 = t - 83 + 2. Let k = a + t. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3 + 3\/(-1))\/1. Let p = m + 12. Let y = 11 - p. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-126)\/((-13608)\/(-1026)))\/((-2)\/(-4))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 9  (b) -31  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 106\nAnswer: 1\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/3, 9\/7, -2 in ascending order.\nAnswer: -2, 9\/7, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 186873 is divided by 125?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-8)\/12*189\/(-6). Let j = 33 - w. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11854481 divided by -47.\nAnswer: 252223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - (11 + -5 + 15).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:36 AM and 5:02 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 246889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -24829\/67 bigger than -372?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (14 - -1) + (-55002)\/3738\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 131676 is divided by 4717?\nAnswer: 4317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, i: 6, d: 4, u: 4}. Give prob of picking 2 e.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 101456202 to the power of 1\/3, to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 346*q + 6341 = -4039 for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 92712\nAnswer: 1\/46356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 - 11. Let q be ((-3)\/(-1))\/(6\/4). Let h be -4 - (1 - 1 - 2). Sort i, q, h in decreasing order.\nAnswer: q, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41 = 492*j - 487*j + 2*u, 4*j - 5*u - 53 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k = -3*k, 2*k = -2*f. Suppose -7*n + f*n = -182. Calculate the least common multiple of n and 14.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*f = -57*f + 4. Suppose f*r - 9 = -r - o, 5*r - 4*o = 14. Solve 1 = -r*m + 3*x - 2, 0 = -5*m - x + 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (-4 - -3) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1980\/(-72)*((-108)\/(-36) + (-11)\/5).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 7  (b) 2\/5  (c) 152\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k - 3 = -0, 0 = -4*s - 3*k + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + -48 - (780 - 832).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 4*k = -4*x + 148, 3*k = -6. Let q = 155 + x. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o + 7582 = 10*o. What is the remainder when o is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -9 - 1cbdad?\nAnswer: -1cbdb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**3 - 6*w**2 - w + 6. Let l be s(6). Let x(o) = -5*o + 3 + o**3 + o**2 + 0*o**2 + 4*o. Let b be x(l). Is 2 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*n - 116 = 5*n. Suppose a = -a + 20. Calculate the remainder when n is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 5 - (-38 - -27)) + 6\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -4*f - 10. Solve 5*g + u = 14, 5*g - 18 = u + f*u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from gsgwsigg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 7, -0.06, -1\/4, -130?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 44*z + 56. Let w be o(-5). Let x = w - -655. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2496723 is divided by 4073?\nAnswer: 4047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cpc when three letters picked without replacement from dcuuqpqdpppqccpcqpcp?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1148149231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8122.0000009842 + -8122. What is h rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 6*d + 12. Let m(c) be the first derivative of c**2\/2 + c - 291. Calculate 5*m(z) - v(z).\nAnswer: -z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -10*q**5 - 5214*q**4 + 110456*q**3 - 646344*q**2 + 1024256*q + 520320 = 0.\nAnswer: -542, -2\/5, 4, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*x - 4*x + 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.4, -0.041, -414, -22\/5?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 60817 to the power of 1\/2, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -21.0042 times -811?\nAnswer: 17034.4062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 68917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2737 (base 10) to base 7.\nAnswer: 10660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 63038 + -42746. List the prime factors of i.\nAnswer: 2, 3, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 92*n - 1. Suppose -u = 2*y + y + 17, 4*y + u + 23 = 0. Let d be -1*(y\/(-2) + -7 + 3). Is 7 a factor of h(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 - 1.02. Let t = -5.02 - j. Let l = 9.7 + t. What is l rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -2028*q - 2016. Give z(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-140)*161 - -9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7.5 - 4.5. Is z equal to -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2528858892 to the nearest integer?\nAnswer: 50288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -3*w**2 - 24*w - 18. Let y be k(-7). Which is the closest to 0.1?  (a) 2\/7  (b) y  (c) -0.1  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h**4 + 3*h**4 + h**4)*(-5*h - 7*h + 5*h).\nAnswer: -21*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 119336 (base 10) to base 6\nAnswer: 2320252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-77)\/4 - 3\/4. List the prime factors of (2\/1)\/((-5)\/i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (75589*i**2 - 148703*i**2 + 74779*i**2)*(2 - 2 + i) + (3*i**2 - 3*i**2 - 2*i**3)*(-3 - 2 + 3).\nAnswer: 1669*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l + g - 1, 2*l + 2*l - g + 1 = 0. Suppose l = 5*v + 5, -v - 17 = 2*p + 2*v. Is -8 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 70 + -65. Let c be (-20)\/(-60) - h*(-116)\/(-3). Let j = c - -314. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1070*n**2*r**2 + 6*n**2*r + n*r**2 - 3*n*r + n - 7516*r - 1 wrt r?\nAnswer: -2140*n**2 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41 + 41 + 4186*r**3.\nAnswer: 4186*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 111 (base 5) to base 6\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that 2*d**5 - 7*d**4 - 69*d**3 - 28*d**2 + 32*d = 0.\nAnswer: -4, -1, 0, 1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9370309\/161 - 58201. Are b and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -0.3  (c) 5  (d) 18  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.26 times 255?\nAnswer: 66.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.3, -1, -0.1, -0.215, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.567 + 0.067. Sort 10, -3, -3\/7, q in decreasing order.\nAnswer: 10, -3\/7, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 704170*h + 14*x = 704169*h + 16, -2*x - 64 = -4*h for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fllllfll. Give prob of sequence ll.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 18*s - 96. Suppose -4*g + 19 = -u, -4*g = 5*u + 4 - 53. Let f be k(g). Suppose -m + 2*m = 12. Calculate the greatest common divisor of m and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 4*u + 2, 2*l - 4*u - 2 = 12. Let t be 1\/6 - 58*(-9)\/108. Suppose -p + 0*q + 87 = -q, t*p = l*q + 429. Is 21 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2.26798 and -0.16.\nAnswer: -2.42798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 307 - 75 + 990*g - 79 - 79 - 76 to y + q*g and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 412 - 410. What is the third biggest value in u, 3, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19 + 25*a - 19)*(-a**2 + 2*a**2 + 0*a**2) - 2*a + 5 - 1 + a**3 + 0.\nAnswer: 26*a**3 - 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the second derivative of 7*p**4\/6 + 31*p**3\/6 - 31*p**2\/2 + 1196*p - 1. Determine m(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1008579988?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 2*p + 1. Let m be h(1). Suppose -39 + 36 = m*v. Is v > 2\/253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 463*s - 694*s + 23335 = -612*s - 1414*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 - 5. Suppose 2*o = -5*n - 0*o + 8, n + h = o. Solve n = -0*k + 2*k + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 206 = 3*q. Suppose q = 2*j + 55. What is the derivative of 1 + j*k - 11 + 11 wrt k?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:34 AM and 12:12 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -11*q + 20*q - 54 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*t + 1 - 473459306*t**3 - 1 + 473460102*t**3 - 5*t.\nAnswer: 796*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pxwt when four letters picked without replacement from xtyxpywxwyyyyxwy?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*u = -27*u + 273. Calculate the remainder when 92 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3\/10 + 6909*o**2\/10 - 8280*o + 124146\/5.\nAnswer: -(o - 6897)*(o - 6)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**3 - 3*c - 4. Let y be h(-2). Let k = y + 5. Let p be 4\/30 - (-4)\/(-12). What is the nearest to k in p, 2, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14, -68, -130, -200, -278?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 51\/100 and -93\/58.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__lcm_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: Let d(f) be the second derivative of f**4\/12 + f**3\/3 - f**2\/2 + 3*f. Is d(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*1*(-5)\/15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -m**2 + m*y**3 - 182*m*y**2 - 219*y**3 wrt m?\nAnswer: -2*m + y**3 - 182*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*r**2 + 2600*r - 101688 = 0. What is r?\nAnswer: -1338, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 3*o = -12, 0 = -2*d + o - 4*o - 10. Let a(s) = s - 1. Let q(b) = 2*b**2 - 4*b + 1. What is d*a(p) - q(p)?\nAnswer: -2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -7139448926471 less than 4?\nAnswer: 7139448926475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 i when two letters picked without replacement from aiaaaiaaaaaaiaaaai?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 26769, 53489, 80227, 106983?\nAnswer: 133757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-4) + 1 + 0. Let v = -0.0231 + -105.5769. Let f = v - -106. Put -0.9, f, t in descending order.\nAnswer: t, f, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6236*k**4 + 4311?\nAnswer: 24944*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 770728 is divided by 115?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14568952 = -4*m + 6*m. Suppose 4008589 = 3*d - 7464839. Let o = d - m. What is o rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 + -8. What are the prime factors of p - (-48 - (2 - 4))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 2*b - 413. Let z(d) = 25*d**2 - d. Give l(z(j)).\nAnswer: 50*j**2 - 2*j - 413","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 - 15) + (-5 - -17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 95 (base 14) to base 13\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 142 - 84. Suppose 4*j = -5*g + g + 56, 5*j + g = x. Calculate the remainder when 87 + (1 + 0)\/((-11)\/j) is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c - 8. Let b(q) = 3. Give 9*b(p) + 4*g(p).\nAnswer: 4*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 55304.\nAnswer: 2, 31, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 27.919 - 1.039. What is g rounded to zero decimal places?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(-6)\/s)\/s)\/(s\/s**2*s)*s**(-9\/2)*s*s\/(s\/(s**(-7)\/s*s)))**42 assuming s is positive.\nAnswer: s**(-777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 328 divided by -12385.\nAnswer: -328\/12385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2157 - -2159. Let p(d) = -12*d**2 + 5*d - 9. Let x(k) be the first derivative of -k**3 + k**2\/2 - 2*k - 3. What is a*p(o) - 9*x(o)?\nAnswer: 3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of 336 and -4.49.\nAnswer: -1508.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -891\/964 - -42\/241. Which is the nearest to 3\/4?  (a) g  (b) -4  (c) 68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 125 + -59. Let b = -73 + o. Is 1\/11 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 401850*p**3 + 21*p**2 + 4*p + 575021359?\nAnswer: 1205550*p**2 + 42*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1497 is divided by 45.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -71, -6, 2\/13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -7*o + 8. Let l(k) = 7*k - 7. Let a(r) = -6*l(r) - 5*q(r). What are the prime factors of a(-5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 + 32 = -7*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -15  (b) -2\/5  (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the first derivative of 0*z + 6 - 1\/15*z**3 - 1\/10*z**2. Factor r(q).\nAnswer: -q*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.002457 nanograms in tonnes?\nAnswer: 0.000000000000008002457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 105 a factor of 372067831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39 is divided by 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 72 - 69. Let d be ((-9)\/4)\/(i\/12). What are the prime factors of (-6)\/d*(12\/4 - -213)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) 5  (c) 1\/6  (d) -1015\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2.2 + 6.8. Let u = 14 - a. Suppose o + w + 4*w = 9, -3*o + 3*w = 9. Sort 2\/15, o, u in decreasing order.\nAnswer: u, 2\/15, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 PM and 4:33 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-48)\/(-60)*(-105)\/(-60)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (-22 - -4) + 10 + 1 + -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1083215 + -2?\nAnswer: 1083213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1394824 and 223096?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 830447 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 525 + 416. Let c = 496 + r. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1992 - -1378463\/692. Are h and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i + 2*i - i)*(2 - 1 + 1) + (-3 + 4 + 4)*(-5 + 4 - 4)*(2 + 2*i - 2).\nAnswer: -52*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 353004603 - 6?\nAnswer: 353004564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 206 + -203. What is the units digit of (-7 - 5)*((-75)\/10 + r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14*a*n**2*z**2 - 42*a*n*z**2 + a*n*z + 2038*n**2*z - 4*n*z wrt z.\nAnswer: -28*a*n**2 - 84*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h + 3 - 3 + (-3 + 3 + 2*h)*(2 + 0 + 0) + 4*h + 4*h - 5*h + (14*h + 432 - 432)*(1 - 4 + 0).\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 209891680.\nAnswer: 2, 5, 197, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -17 - (1 + -7 + 0 - (-209 - -205))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 896 - 2124. Let n = m + 12303\/10. What is the common denominator of -39 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 167404*z - 167404*z - 8317 + 5281*z**3 with respect to z.\nAnswer: 15843*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/1 + (-1 - -2). Let q(r) = 5*r**2 + 23*r - 9. Let m(x) = 3*x**2 + 15*x - 6. Let b(v) = 8*m(v) - 5*q(v). What is b(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 15.38 + -0.38. Let r = v - 14.9984. Round r to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 208988143901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5792 - 5798. Let r be ((-2)\/(-4))\/(1\/10). What is the units digit of (r*(-4)\/(-15))\/((-4)\/y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62*w - 144*w + 54*w.\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2013 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(700) - (2 + sqrt(700)*2)) + 2)*4.\nAnswer: -40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2*(-2)\/(-12))\/(16\/192)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((16\/36)\/((-19)\/(-342)))\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 6*y - 12 + 7)*(1 - 5 + 2).\nAnswer: -12*y + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(85)*-2 + sqrt(85))*-4)\/(sqrt(10)\/sqrt(2)*1).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 10 - 6*g**2 - 2 - 3 - 4. Determine x(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2879 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7009 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/5, -0.4, 1.1, -3 in descending order.\nAnswer: 1.1, 3\/5, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 436309 less than 436593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 4*p**2 + 28*p + 80. Let l be y(-11). Suppose 20*d - 12*d = l. What is the highest common factor of 24 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -24193.83 to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3002 + 5890 + 497*g**2 - 2888.\nAnswer: 497*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 7*i**2 + 4*i. Let n(f) = 6*f**2 + 3*f. Suppose 2*w = 4*w - 10. What is w*n(k) - 4*h(k)?\nAnswer: 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/10 and 68\/((6*65)\/6)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 58058082 to the nearest integer?\nAnswer: 7620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -63\/25 and 9\/1055.\nAnswer: 5275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 4*a = -5 - 23, -5*a = -2*i + 7. Let c = i - -5. Let j(y) = 3. Let o(r) = -r + 1. Calculate c*j(s) - 2*o(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 4, -17, -2 in descending order.\nAnswer: 4, 3, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -161 - -158. Let b be 4 + 0 - (-24)\/l. Is -42 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in fifty-three quarters of a kilometer?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -124*o + 351*o + o**2 - 507*o**3 - 117*o - 2 - 111*o in the form u*o**2 + j + l*o + n*o**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4596 - 4600. Sort n, -12, 33.\nAnswer: -12, n, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*-2*(0 + (sqrt(152)*2)\/sqrt(8))*-1.\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*w - 8400 = 5*w. Is w a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 201208703 = 92*c + 201203919 for c.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-3) + 30\/9. Let s = -3 + q. Is (1 + s)\/(8\/92) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tpyy when four letters picked without replacement from jdydytjp.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*h - 6, -4*x - 65 = 35*h - 31*h - 25 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - (-2 + -1)) + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (9\/24)\/(6\/(-28)). Let l be -17 + 1110\/66 - (-8)\/22. What is the second biggest value in -1, s, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30099313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -45 + (1 + -38 - (702 + -757))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -2*q - 23*q + q**3 - 13*q - 38 + 16*q**2. Let w be k(-18). Let j(o) = -2*o**2 + 2*o + 4. Calculate j(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 = 230\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 + 590\/(2 - 4). Let b be -2 - (-1 - -1) - r. Is (2\/(-3))\/((-4)\/b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3162797406?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-125 - 17 - -51) + 92.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + 4\/((-16)\/(-12)). Suppose -5*y = -h*y - 150. Suppose 2*i - 115 = -3*q, -3*i + y = -0*q + 2*q. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 0.7799427us?\nAnswer: 0.0000007799427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 278596 and 25704?\nAnswer: 105309288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2760*j + 2*h = -2755*j + 4, 0 = 4*j + 4*h - 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, -2, -5, 32, -3 in decreasing order.\nAnswer: 32, 4, 1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -102, -274, -524, -864, -1306, -1862, -2544, -3364?\nAnswer: -4334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -7*f + 2*f. Suppose -4*s - f*i + 276 = 0, 2*s = -i - 7 + 145. What are the prime factors of s?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 divided by 38?\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 4456*r + 1163*r + 0 + 993*r + 1164*r + 1157*r.\nAnswer: 21*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*(l**3*l)\/l)**41*l**(2\/15)*l**(2\/29)*l assuming l is positive.\nAnswer: l**(71863\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 185 is divided by 58.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1138916674 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/(-5) - (-63)\/35. Find the third derivative of 14*x**6 - 4*x**6 - x**2 - 8*x**y wrt x.\nAnswer: 1200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 130 and 377?\nAnswer: 3770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pczy when four letters picked without replacement from {y: 2, k: 2, p: 2, z: 1, v: 1, c: 1}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -2*w + 62, -45 = 5*w + 4*v - 205. Suppose 0 = -4*a + w + 128. What are the prime factors of a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k. Suppose 0*d + d = 0. Let x(r) = -6*r**2 + d + 0. Determine x(i(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**2 - 5*d - 50. Is p(14) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**2 + 577*q + 1719. What is k(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 280*l**2. Let n(j) = 39685*j**2. Calculate p(n(b)).\nAnswer: 440971783000*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*l - 40963 = 10033. Let u = 3596 - l. What is u rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70.189983 rounded to 3 decimal places?\nAnswer: 70.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 + 10*d**2 - 19*d + 26. Let m be f(8). Solve -2*z - 6 = -2*o, -m*o - 3*o = 3*z - 23 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -64\/5667 and -4\/41.\nAnswer: 232347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**3\/5 + 246436*c**2\/5 - 739321*c\/5 - 985756\/5.\nAnswer: (c - 4)*(c + 1)*(c + 246439)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 498126308?\nAnswer: 2, 124531577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, i: 5, t: 2, j: 3, x: 6}. What is prob of sequence jx?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.4403 - -1299423?\nAnswer: 1299420.5597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 14538040 and 4048.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 683 - -c86?\nAnswer: 1639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7424 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*s - 7 + 43. Suppose 0 = -s*m + 477 + 287. What are the prime factors of m?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**5 - u**4 + u**2. Let z(w) = -32*w**5 + 5*w**4 - 5*w**2 - 32*w. Let l(a) = -10*t(a) - 2*z(a). Find the second derivative of l(c) wrt c.\nAnswer: 1080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4.597 and -0.3.\nAnswer: 1.3791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2205592?\nAnswer: 2, 275699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.942 times 43?\nAnswer: 384.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2192, -1\/11, 0.2, -137 in decreasing order.\nAnswer: 0.2, -1\/11, -0.2192, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.0979 greater than -4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/1*(-56)\/(-112).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1291, -32.\nAnswer: -1291, -32, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 11416068221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 5*h = -2408, 11*y - 6*y + 5*h + 3010 = 0. Let n = y - -605. Solve r + 4*o - 17 = 0, o = -3*r + 15 + n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29930 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -9 divided by -119902\nAnswer: 9\/119902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8220 and 3425?\nAnswer: 41100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes after 9:57 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g + 2 - 4*g + 2*g. Let j = 39 + -42. What is the tens digit of k(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72*u = -65*u - 7. Let i be (-6)\/((-228)\/8*u). What is the third biggest value in i, -4, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12267, 12256, 12235, 12198, 12139, 12052?\nAnswer: 11931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8 + -26. Let z = -13 - m. Suppose 5*d + 5*u = z - 0, 2*d = 2*u + 22. 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: ((-8)\/(-68) + (-3432)\/(-884))*(59\/(-30) + 2)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6035, 12068, 18101, 24134, 30167, 36200?\nAnswer: 42233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -13 - -7 - 2\/(-1). Let f(h) = 6*h**3 - 5*h**2 - 5. Let s(g) = 5*g**3 - 4*g**2 - 4. Calculate z*f(c) + 5*s(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 6565398 + 1732?\nAnswer: 6567130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 2*v + 162 = 0. Let g be v\/(-3)*(-3)\/9. Let h(s) be the first derivative of -s**3\/3 - 5*s**2 - 11*s + 66. What is h(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:12 PM and 8:56 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f + 0*f + 4*f)*(-f + 3*f + 4*f - 2)*(-3*f**2 - 3*f**2 + 4*f**2).\nAnswer: -24*f**4 + 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (365 + -341 - (106 - 0) - (0 - 10))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 38 - 18. What is the least common multiple of c and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gt when two letters picked without replacement from {c: 6, t: 4, g: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**2 - 13*c - 31. Suppose -5*i - 9*i - 140 = 0. Let q = i + 0. Let f be w(q). Which is greater: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (5 + -5)*(-2)\/4. Suppose 0*k - 2*k - 6 = 4*u, h = 5*k - u + 26. Let x be (-672)\/(-32) - (1\/1 - 2). What is the third smallest value in k, x, -1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7.9 in -1\/2, 13280, -20?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -2*y**2 + 14*y - 11. Let s(z) be the second derivative of z**4\/12 - 5*z**3\/6 + 2*z**2 - z + 2. Let q = 35 - 31. Determine q*b(n) + 11*s(n).\nAnswer: 3*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**(2\/13))**(10\/3)*v**(6\/5)*v**1)**(18\/7) assuming v is positive.\nAnswer: v**(7074\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -91 + 191. Calculate the greatest common divisor of a and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1098958111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 21010, 21023, 21036?\n\"Answer: 13*p + 20997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 11 + 9. Let j(h) = -h**3 + 10*h**2 + h - 6. Let p be j(q). Solve -b - 2*m - 3 = 3, 0 = -p*b + 2*m - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 359 = 5*a + k, -4*k - 221 = -3*a + k. Let u = -65 + a. What is the remainder when -3*(1316\/(-12))\/u is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(304)*2)**2 + (-2 + sqrt(304) + -2)**2.\nAnswer: -5760 - 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3\/25  (b) 2\/5  (c) 0.08  (d) -3  (e) 18  (f) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g + 2. Let k(q) = -3*q**2 - 26*q + 11. Let u be k(-9). Let w(m) = -m + 5. Let y(v) = -v + 5. Let c(f) = -4*w(f) + 5*y(f). Determine u*c(s) - 5*o(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that w**2 + 8818*w + 3294957 = 0.\nAnswer: -8427, -391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1410 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-3 + sqrt(133)\/sqrt(63) + (sqrt(285)\/(1*sqrt(5)))\/sqrt(3) + 0))**2.\nAnswer: -8*sqrt(19) + 385\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -170 - 18*h**2 - 10*h**2 + 92 as z*h**2 + p + l*h and give z.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + 0*z + 4 = -4*n, 250*z = 8*n - 5*n - 1000 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 10100.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(10)\/(sqrt(605) - (sqrt(605) + -2*sqrt(605))))**2.\nAnswer: 1\/242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16376*k - 16365*k - 3795 = 0. Calculate the remainder when k is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15116441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1*(-8)\/(-14))\/(70\/(-49)). Which is the closest to f?  (a) -28  (b) -0.1  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 (base 5) in base 2?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wfuffffwffuuffffuffu. Give prob of picking 1 u and 2 f.\nAnswer: 13\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 22*-1 - 9\/6 and 4\/(72\/94) + 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 453728070 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooz when three letters picked without replacement from ozzooozozooooozo.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -3*v**3 - v**2 + 1. Let k be d(-1). Find the third derivative of w**2 - 7*w**2 + 4*w**2 + w**k wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6687\/(-10402)*3\/(18\/4)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 17*a**3*c**2*d**2 + 319*a**3*c**2*d - 2*a**3*c**2 + 355*a**2*c**2*d**2 + a*c*d + c**2*d wrt d?\nAnswer: 34*a**3*c**2 + 710*a**2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4291, 4289, 4287, 4285?\nAnswer: 4283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 5*y - 3*k - 819 = 0, -2*y - 2*k = -526. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 119 = 2*g + 5*c, 3*g + 2*c = 177. Let j = 16 - g. Is 30 a factor of (j\/(-3))\/(3\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -5*n + 24. Let z be o(-5). Suppose 41 = -2*k + z. Let m(q) = 9*q + 32. Let h be m(k). What is the greatest common divisor of 17 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 84554?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*m + 1129063*m**2 - 78*m**3 - 15*m + 7 - 1129067*m**2 to p*m**3 + g + c*m**2 + h*m and give p.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hshesssehshvvvhvvss. Give prob of sequence svve.\nAnswer: 35\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2377 = 8*t - 1559. Sort 0, t, 2.\nAnswer: 0, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1213 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the second derivative of 3*y**5\/10 - y**4\/12 + y**3\/3 - y**2\/2 - 3*y. Calculate g(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/(-22)*27\/(34 - 7).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h - 4*p + 40 = 0, -606*h - 2 = -602*h - 2*p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32345752.\nAnswer: 2, 19, 212801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 28 = -32. Let g = 103 - -5. Calculate the greatest common factor of g and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -4*u - 1 + 2*u - 1. Suppose 3*a + 0 = -9. What is the units digit of o(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 381*r**5 - 16727*r**4 - 11*r**2 - 1144439.\nAnswer: 22860*r**2 - 401448*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-20)*(2\/1)\/((-29)\/(-116)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1288 = -38*t - 338. Calculate the smallest common multiple of t and 130.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(((sqrt(85) - sqrt(85)*-1)*-5 + sqrt(85) + sqrt(85) - sqrt(85)) + sqrt(85)*-1*2))\/((sqrt(60)*1)\/sqrt(12) - (sqrt(30)\/sqrt(6)*1 + sqrt(5)))*-5.\nAnswer: 55*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes after 12:27 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 26958, 27997, 29036, 30075, 31114, 32153?\n\"Answer: 1039*q + 25919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1819142 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 741 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the second derivative of f**5\/60 + 43*f**4\/36 - 22*f**3\/9 + 18*f. Solve v(c) = 0 for c.\nAnswer: -44, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**2 + 2. Let d be b(0). Let q be (-6)\/8 - -2*(-1667)\/(-8). Let o be 41\/13 + (-64)\/q. Solve 3*w - 10 = c, -5*c + d = -4*w - o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.3 - -0.2. Let f = 1.9 - s. Sort 0.1, -0.2, f in decreasing order.\nAnswer: f, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -190 (base 12) to base 2\nAnswer: -11111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 times 87?\nAnswer: -17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112 = p - 28. What is the remainder when p is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the second derivative of j**3\/6 + 19*j**2\/2 + 9*j. Let q = 13567 + -13587. Determine a(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -2\/145, -1, -1\/8, -2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 533 divide 88087311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-2\/5))\/(d*(((d**(-9)\/d)\/d)\/d*d)\/d*d)*d*d**16*d*d\/((d**(-1\/6)*d)\/d)*d assuming d is positive.\nAnswer: d**(923\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 130 divided by 26\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*i**3 + 101114200*i**2 - 511203970967785*i - 1022408346392410.\nAnswer: -5*(i - 10111421)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = 4*o - 32, -2*o + 3*d + 48 = 3*o. Let g be (o*3\/36)\/(1\/(-2)). Which is the third smallest value?  (a) g  (b) -1  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 61484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**3 - 12*x**2 - 9*x + 153. Give h(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*2472\/(-4017)*((-3)\/12)\/(-1)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.2  (b) -1\/12  (c) 4\/7  (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1815 - -29264626.449.\nAnswer: 29264626.2675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3, 2, -2, 14 in descending order.\nAnswer: 14, 3, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0.1, 0, 2 in descending order.\nAnswer: 5, 2, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 74 + -73. Let o be (6 + -6)\/(1 - 3). Solve 2*p + 7 + n = o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - 220\/140) + (-6)\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -23 - -24. Put 3, d, -5 in ascending order.\nAnswer: -5, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes after 5:39 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 41*w**4 - 5817*w**3 - 538224*w**2 - 2*w.\nAnswer: 984*w - 34902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.029351*-43.4\nAnswer: 1.2738334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*-10.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 21 and 1401?\nAnswer: 9807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -28 + (-3058)\/(-66) - (-2)\/(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6.204 + 6.404. What is the third smallest value in 2.8, x, -0.17?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.18 - -0.18000636. Round r to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(-2\/5)\/w)**46)**(-1\/25) assuming w is positive.\nAnswer: w**(92\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 15036276 to the power of 1\/2, to the nearest integer?\nAnswer: 3878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(13\/((-572)\/(-11))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**5 - 108*j**4 + 208*j**3 + 4*j**2 - 210*j + 104.\nAnswer: 2*(j - 52)*(j - 1)**3*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0 and -13148556447.\nAnswer: -13148556447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 316372176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16 - (25 + -9)) + 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.7  (b) -0.5  (c) 4\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 457.0539l?\nAnswer: 457053.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 - -1. Let s(b) = -b**2 + 5*b - 3. Let u(z) = -z**2 + 14 - 31 + 4*z + 15. Let p(x) = d*u(x) + 2*s(x). Find g, given that p(g) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(4\/13)\/(g*g*g**(-39)*g))**(3\/11) assuming g is positive.\nAnswer: g**(1416\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5608 + 8636. What are the prime factors of r?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the first derivative of t**5\/120 - t**4\/24 - 2*t**3 + 3*t**2\/2 - 18. Let n(z) be the third derivative of m(z). Calculate n(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(500) - (sqrt(500) + 2 + -2 - sqrt(500)))**2 - (sqrt(20)\/sqrt(4) + -2 + (-2*1*sqrt(5))**2).\nAnswer: -sqrt(5) + 482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -426*j + 429*j - 18 = 0, -7*n + 40 = 2*j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 2*w**2 - 7*w + 2. Calculate the remainder when r(5) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44389996.\nAnswer: 2, 7, 47, 89, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 141*f**2 + 12*f + 12. Let p(l) = -421*l**2 - 34*l - 34. Let y(m) = -6*p(m) - 17*u(m). Let n(q) = q**2. What is y(n(z))?\nAnswer: 129*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 1600*r - 9875. Determine x(6).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/5 of a minute in seconds?\nAnswer: 396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 32271045563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yyyyynyyynyyynyyyy?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -172*j + 178*j = 72. Suppose -2*f - 10 = -j*f. What is the greatest common factor of f and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4233 = 5*g + y, -24*y = -g - 29*y + 837. What are the prime factors of g?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 234113 (base 5) in base 2?\nAnswer: 10000111010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16943.\nAnswer: 16943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (5 + 0)\/((-54 - -6)\/16). Which is the fourth biggest value?  (a) -2  (b) j  (c) 1\/5  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 40787 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 times 5.3?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the second derivative of 1\/12*w**4 + 35*w - 1\/6*w**3 - 2*w**2 + 0. Give r(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the first derivative of -10*r**6\/3 - 13*r**5\/5 + 65*r**4\/2 - 13*r**3 - 9*r**2 - 2772. Suppose o(x) = 0. Calculate x.\nAnswer: -3, -1\/4, 0, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -122 + 178. Suppose q + 5*j = 3*j + 7, -2*j = 2*q - 14. Calculate the greatest common divisor of q and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 371\/6 or 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**2 + 6*u - 3. Suppose 10 = i - 3*i. Let t be o(i). Is 12 a factor of t*(-1)\/(2\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1294 - 314. Suppose -h + 5*h - j = 0. Does 35 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 - -3364?\nAnswer: 3368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 567\/14 + (-3)\/(-2). Find the first derivative of 3 - 42*j**3 - j**4 + k*j**3 wrt j.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 510 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1852, 1849, 1846, 1843?\nAnswer: 1840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes before 7:53 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 + 3)*(2*u**4 + 0*u**2 + 0*u**2) + (-3*u + 6*u - u)*(3*u**3 - 1 + 1).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4645 - 12706?\nAnswer: -6041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.996931821 to 2 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*k + 480 = -17*k - 0*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4437 - 7835 = -1534*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-3\/2)\/v**0*(v**(-1))**49)\/(v\/v**4*v*v*(v**(-2\/11)*v)\/v*v*v*v*(v**(1\/4))**(-2\/21)) assuming v is positive.\nAnswer: v**(-12080\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 1 = -2. Let d(i) = -18*i. Let r(p) = p**2 - 12*p + 37. Let t be r(9). Let h(b) = 203 + t*b - 11*b - 203. Determine x*d(o) + 15*h(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-343)\/294 + (-2)\/(-3))*-42. Calculate the greatest common divisor of s and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 65182?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 131630 to the power of 1\/2, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2662) + ((sqrt(2662)*-2 - sqrt(2662))*1 + sqrt(2662) - sqrt(2662)))*-1)\/(1*(sqrt(1331) + (sqrt(1331) - 1*sqrt(1331)))*3).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -298046 by -298046.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 3*v + 1. Let i = 3 + 0. Calculate x(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -95, -95, -97, -101, -107?\n\"Answer: -q**2 + 3*q - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1157 - 53550.\nAnswer: -54707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 - 6*w**2 - 3*w + 7. Let u be d(-6). Let f = u + -14. Find the common denominator of (-22)\/(-60)*(2 - f) and -33\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -4 + 1760*b - 1765*b + 2. Determine g(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 401000 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**3 + 4*p**2 + 5*p + 20. Let m be b(-4). Suppose m = -q - 3*c + 1668 + 5407, -2 = -c. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -532?  (a) 7  (b) -1  (c) -1\/8  (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*(-15)\/(-24))\/(-5)*15\/(-5)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-72)\/(-21))\/(7*(-3)\/(-95550))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -82856816 divided by 20714204?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 23 - 4?\nAnswer: 1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 - -9. Suppose -a + 31 = -5*q. Let u(m) = m**2 + 3*m - 5. Let f be u(q). Put 0, f, -3 in decreasing order.\nAnswer: f, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 187118.1 times 1.4\nAnswer: 261965.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -3*k**2 + k + 4. Let m(a) = -2*a**3 - 12*a**2 - a - 1. Let s be m(-6). Let g(p) = -4837 + 4839 - s*p**2 + 3*p**2. Determine -5*g(h) + 2*i(h).\nAnswer: 4*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w - 9 - 26. Suppose o - 3*o + 68 = -2*v, -2*v - w = -o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -12281, -24566, -36851, -49136, -61421, -73706?\n\"Answer: -12285*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -2 + 17*l - l**2 + 7 - 4*l. What are the prime factors of v(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -195864, -195850, -195818, -195762, -195676, -195554?\nAnswer: -195390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10157 minus 1.24?\nAnswer: 10155.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 180*p - 287*p = -158*p + 1632 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 52089303?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 25 = -2*q, -4*q - q = -3*g + 16. Let r(c) = c**3 + 4*c**2 + 2*c + 7. Let z be r(g). Suppose -z*p + 4*p = -288. Does 18 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes before 9:22 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 2*v = 2, 0 = -2*v - 2*v. Suppose -4*j - 4*m + 120 = 0, -g*m - 11 = -3. Suppose 5*q - 4*a - 11 - j = 0, -q - 15 = 4*a. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 292.623 take away 4?\nAnswer: 288.623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.16 - 6.84. Let m = 8 + u. What is the second smallest value in m, 3, 2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * -7022471.\nAnswer: 1404494.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3*(-57)\/(-63) - 12\/(-42). Which is bigger: s or 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 506052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -22.01  (c) -44  (d) 0.5  (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 - 248a?\nAnswer: -2491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**2 - w. Let x be k(-1). Let u(d) = x*d - 2*d + d. Let q(t) = -t + 9*t - 7*t. Determine q(u(j)).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 344 and 4030648?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 152850481.8603 + -0.058.\nAnswer: 152850481.8023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -27145 - -27119. Which is the third biggest value?  (a) n  (b) 2\/13  (c) 4  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 7 - 4 = b, 5*j - 14*b - 97 = -82 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -453*i - 3645. Determine k(-11).\nAnswer: 1338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the second derivative of 0*h**6 + 3\/14*h**7 - 3*h**3 + 0*h**2 + 0*h**4 - 9*h + 0*h**5 + 0. Find the second derivative of i(j) wrt j.\nAnswer: 180*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 101 divide 4457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 39\/74 + 12 + 100\/(-8). What is the closest to -1 in q, 2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-12384)\/80)\/(8\/(-60)). Let n = 3342 - u. What is n rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y + y - 12. Let p = -9 - -28\/3. Let w be 76\/8 - 6 - 4. Which is the third biggest value?  (a) y  (b) p  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.12 times 425997\nAnswer: -51119.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 720667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 22666716?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1500, 1522, 1546, 1572, 1600, 1630?\n\"Answer: d**2 + 19*d + 1480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:48 PM and 6:54 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 82 - 78. Put x, 0.2, -4, 6 in decreasing order.\nAnswer: 6, x, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-40)\/(-1))\/(14\/(-11333)). Let u = n - -57380. What is u rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 166*n + 1680. Suppose 0*l - 3*l = -12. Calculate the lowest common multiple of q(-10) and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7662 divided by 7662\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 6\/4*28\/(-231)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 a factor of 18327864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 54.3 - 54. Which is the third smallest value?  (a) -7  (b) x  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (52\/(-65))\/(15\/225)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 12*i + 88*i**4 + 5*i**3 + 0 + 4 - 2*i**2 - 75*i**4 - 14*i to the form b*i**3 + n*i + j + c*i**2 + h*i**4 and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + -7 - -1*5)*6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11.3 + -21.1. Let v = f - -12.8. Which is the closest to -1?  (a) 1\/3  (b) 0  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/(9\/(-4))*-3. What is the third derivative of -3*v**3 + 2*v**2 - f*v**2 + 0*v**3 + v**2 wrt v?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 - 1211011021212?\nAnswer: -1211011021221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -115767*z**2 + 4*z + 318906?\nAnswer: -231534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -72 - -79. Suppose f*a - 20*a = -11869. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -18434 - -28896. Let o = -470762\/45 + g. Find the common denominator of -101\/40 and o.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4951 - 4946. Sort 54, k, 9 in ascending order.\nAnswer: k, 9, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -31, -1, -5, 70 in increasing order.\nAnswer: -31, -5, -1, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in seventeen quarters of a millennium?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + 4*z - 508 = 0. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 5*h**3 - 30*h**2 - 1155*h - 4900 = 0.\nAnswer: -7, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 + 2. Let p = 76 - 536\/7. Which is the second smallest value?  (a) -2\/7  (b) p  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 309286 - 159105. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.4 - -1.6. Which is the biggest value?  (a) 1\/6  (b) 0.1  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3 - 3)*(0*v - 2*v + v) + 2*v - 3*v - 2*v - 1602*v + 1375*v + 1018*v.\nAnswer: 787*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**2 - 10*t - 2. Let c(f) = -12*f - 1. Let v(k) = -c(k) + h(k). Determine v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 61251269?\nAnswer: 19, 3223751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(245) + -1 + sqrt(245) + (2 + sqrt(245))*-4)**2*4.\nAnswer: 784*sqrt(5) + 4116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1*-2*(-21)\/6. Let b = m + 4. List the prime factors of (b + 2 - 0)*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 189 or -340?\nAnswer: -340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnnnnknnnnnnnnnnnnn. Give prob of picking 1 k and 1 n.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5.5853, -1\/35 in decreasing order.\nAnswer: 5.5853, -1\/35, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 2*f. Let r(u) = -u**3 - u**2 + u + 2. Let j be r(f). Suppose -8 = -j*p + p. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -44048, -44050, -44052, -44054, -44056, -44058?\n\"Answer: -2*c - 44046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(((m**(4\/11)\/m)\/m)\/m)*m*m**(-8))\/(m*m**(-6\/5))**(11\/4) assuming m is positive.\nAnswer: m**(-619\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -3*z**2 - 5. Let h(c) = c**4 + 5*c**2 + 9. Suppose 5*g + 19 = -2*u, -4*u - 4*g + 0 - 8 = 0. Let s(q) = u*h(q) + 5*f(q). Differentiate s(p) wrt p.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4638553?\nAnswer: 4638553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*h + 612930892 - 612930892.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**2 - 87*g + 489. Let q be d(6). Let c(v) be the second derivative of 1\/6*v**3 + v + q*v**2 + 0. What is c(-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -978311*d**3 + 653382 wrt d?\nAnswer: -2934933*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 184 and 2265086.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 314*k - 154. What is y(1)?\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -210c17a (base 14) in base 4?\nAnswer: -323213330300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46748377 is divided by 34?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.0598 - -7.0598. Let p = 0.3 + -0.1. Which is the closest to -1?  (a) v  (b) 2\/7  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 + -1d?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0, -22968, -5, -4 in decreasing order.\nAnswer: 3, 0, -4, -5, -22968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -109*n**3 + 3828*n**2 + 790069*n wrt n.\nAnswer: -654*n + 7656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -108*n**2\/7 - 1522*n\/7 - 20 = 0.\nAnswer: -14, -5\/54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9745 - 19498 - 10453*u**2 - 2324*u**2 + 9753 to p*u + d*u**2 + n and give d.\nAnswer: -12777","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 592607349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 739 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 749682?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 206688 and 687?\nAnswer: 47331552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1\/2815 - -2813\/5630. Which is the fifth smallest value?  (a) 4  (b) -1\/3  (c) 0.05  (d) k  (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:32 PM and 1:24 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 24032, 85192, 187126, 329834, 513316?\n\"Answer: 20387*q**2 - q + 3646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*n**2 - 12*n**2 - 2*n**4 - 1)*(n + 0*n - 2*n + (3 + 1 - 2)*(-4*n + 4*n - n)).\nAnswer: 6*n**5 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b + 4 - 1. Let f(w) be the second derivative of w**5\/20 + 5*w**4\/12 + w**3\/3 - w**2 - 6*w - 3. Calculate f(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 34*t**2. Let u(z) be the third derivative of z**4\/4 + z**2 - 50. Give u(g(c)).\nAnswer: 204*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-49)\/(-7) + -5 + (-403)\/217.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 19.954 times -1320\nAnswer: -26339.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 8\/9  (b) -0.1  (c) 4  (d) 0.078  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 13 - 26 + 7*w - 6*w**3 + 7 + 5 as k + a*w**2 + m*w + l*w**3 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*t = -24 - 15. Solve -k - 2*k - 6 = t*p, 2*p = k - 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4.9 - 22.1. Let h = z - -27.021. Round h to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvvvvvvvvv. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -2\/287?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 2*x**2 + 9*x - 3. Let p be h(-5). Let m = -1.3 - -0.3. Which is the second smallest value?  (a) p  (b) m  (c) -0.4  (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -2  (b) 119\/8  (c) -1\/31  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1, -20, -39, -58, -77, -96?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*r + 0*r - 2*r)*(-25 + 25 - 20*r**3).\nAnswer: -60*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 50439 greater than 302635\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 32831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 12\/(-10)*235\/94\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 = -3*l + 5*o, 0 = -4*l - 2*o + 6*o + 44. Calculate the highest common factor of 32 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-1\/19)*z)**(-2\/27)\/(z**(2\/9)\/z)**2 assuming z is positive.\nAnswer: z**(724\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 2*h**2. Let z(u) = u**2 - 2275860*u. Give z(v(c)).\nAnswer: 4*c**4 - 4551720*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -33*k - 3. Determine s(-2).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 7) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -6*((sqrt(2880) + 3 + sqrt(2880) + (-1 + sqrt(2880) - sqrt(2880) - sqrt(2880)))**2 + sqrt(2880))*2 + -1.\nAnswer: -34613 - 1440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3 + -7*2)*-4. Suppose 0 = 3*x - 7*x + c. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 + 6 = 3*u - 5*d, -5*u + 5*d - 5 = 0. What is the nearest to 0.2 in u, -4, 25?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 e when two letters picked without replacement from {m: 1, e: 1, p: 4, r: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + a = 2*q - 9, 3*q - 247524 = -4*a - 247641 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w. Let h(q) = -12*q + 13. Calculate h(k(b)).\nAnswer: 12*b + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 10709417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes after 11:44 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 91 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (9 + -6)*(1 + (-8)\/9). Let d = 2.5 - 3. What is the third smallest value in d, -4, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -66*c**4 - 2428*c**2 + 2428*c**2 + (-c**2 + 2*c**2 - 4*c**2)*(4*c**2 - 4*c**2 + c**2).\nAnswer: -69*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-6)\/(-1) - (3 + 0). Let j(t) = -t**2 + 2*t**h + 3*t**3 - 2*t**3 + 12 - 2*t**3 - t. What are the prime factors of j(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*v + 1 + 113 - 113.\nAnswer: 8*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(-2)*1*(-48)\/30?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1048*z - 4*z**3 - 1048*z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-19)\/(-2))\/(6\/(-20)). Let p = o + 32. Let v be 3\/2*(-2)\/15. Which is the closest to 3?  (a) v  (b) p  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.41 in -1, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -10*l**2. Let j(x) = -270*x. Determine q(j(n)).\nAnswer: -729000*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 8 divided by -107078\nAnswer: -4\/53539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-20)\/6*48\/40)\/((-3)\/(-9))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 49153096, 49153133, 49153168, 49153201, 49153232, 49153261?\n\"Answer: -r**2 + 40*r + 49153057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18000 and 53700?\nAnswer: 3222000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8384 + 797. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8*f**3 - 4 - 3068*f + 3*f**2 + 3068*f wrt f.\nAnswer: 24*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1250608.63 to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 + -6. Let n = -0.9 - -1. Let l = 0.5 - n. What is the nearest to s in 0, l, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.4  (b) -7.9  (c) 107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 88 - 46. What is the remainder when x is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-1))**(-2\/31)\/(a**(3\/10))**(18\/11) assuming a is positive.\nAnswer: a**(-727\/1705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83*c - 26*c + 5396 = 33*c. Solve c*q = 39*q - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/5, 0.5, -218, 2, 26, -1?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*p + 205 - 14 - 111 + 36*p.\nAnswer: -p + 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 665728840?\nAnswer: 2, 5, 7, 17, 19, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 - 0)\/((-4)\/(-36)). Let f be 0 + -2*(-6 + 4). Suppose 0 = -11*d + 48 - f. Solve -d*c + q + 11 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1818 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -670*w**2\/3 + 4162*w\/3 + 1232 = 0. Calculate w.\nAnswer: -264\/335, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -52 + -4 + (-1 - -34).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from grgouwgggrgrrwmrgor?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 141.5289 micrometers to centimeters.\nAnswer: 0.01415289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 14*d**2 + 2*d - 5*d + 2*d - 15*d**2 + 4. Suppose v - 4 = 2*v. Let w(x) = x**2 + x - 5. What is v*g(l) - 3*w(l)?\nAnswer: l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 1\/2, -0.3516, -1\/6, 2, -0.01?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14749692 is divided by 5053?\nAnswer: 5038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 145383.\nAnswer: 3, 7, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 101 - 202 - 329*w**2 + 101 as k + h*w + r*w**2 and give r.\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in eleven halves of a microsecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-160 + z**2 + 160 + 30*z**3)*(3*z - 3 + 3)*(1 - 3 - 3) as d*z**3 + b*z**2 + q*z**4 + h + p*z and give q.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 2495000 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 81 and 41384601?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/4 + 2990\/3864*2\/10?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1388678.\nAnswer: 2, 694339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 39470513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -108 - -122. Calculate the least common multiple of v and 63\/6*8\/6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 43 = 3*a, 3*n + 10*n + 9138*a - 9136*a = -101 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 6, v: 2}. What is prob of sequence vvy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add -316 and -3555.393223.\nAnswer: -3871.393223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -w**2\/3 - 28*w\/3 - 25 = 0.\nAnswer: -25, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from chhchhhcch. What is prob of sequence hc?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiibbiiiiibiibbbii. What is prob of sequence bbbb?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 6 + 4)*(-32032579 - 6767*q + 32032579).\nAnswer: -6767*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 131\/340 and -99\/17980.\nAnswer: 305660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -126*c**2 - 17*c + 116. Let a(b) = -42*b**2 - 6*b + 39. Suppose 6 = m - 0*m. Let d(r) = m*y(r) - 17*a(r). Find the first derivative of d(h) wrt h.\nAnswer: -84*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 times 1.54\nAnswer: -0.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 454109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 485 + -363. What are the prime factors of r?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*s - 17*s = 51. Which is the third biggest value?  (a) -25  (b) s  (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 24282952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 + -1)*19\/(703\/333)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.6 - 0.5. Let z = 0.2 + 0.8. What is the closest to 1 in z, -0.1, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 157 - 93. Suppose -k = 3*y - 253. Calculate the greatest common divisor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 11*z**2 + 66*z - 5. Calculate b(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 280 is divided by 54.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 105046479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (161 - (305 - 165)) + (1 - 34)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of m**3*n**3 + 19*m**3*n**2 - 13*m**2*n**3 + 4*m**2*n**2 wrt m.\nAnswer: 6*n**3 + 114*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 5}. What is prob of sequence rrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 - 799427.6444818\nAnswer: -799428.0444818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -22*2\/8*18. Let q = 67 + p. Let c = q + 37. Solve t = -0*t + c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4749642?\nAnswer: 2, 3, 263869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 5305.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (60\/((-30)\/2))\/((-1)\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 74571233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14656, -29313, -43970?\nAnswer: -58627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 - -4. Let i be n + -2 - (-3 + -2). Suppose 22*k - 29*k = -21. Does i = k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r - 2 + 6. Solve 5*p = -r*a - 0*a + 20, -5*a + 2*p = -21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xfhparxp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 11381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 1, y: 2, o: 2, s: 1}. What is prob of picking 3 y and 1 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 25 + -24. Let h = 3 + -5. Let k be (h\/(-26))\/(2\/4). Which is greater: q or k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((1 + 2 + 0 + sqrt(1792))*-5)**2.\nAnswer: 2400*sqrt(7) + 45020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the second derivative of -o**5\/480 - o**4\/32 - 3*o**3\/16 + 3*o**2\/2 - 4*o. Let j(k) be the first derivative of m(k). Solve j(b) = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 7 = 3*f + 30, -3*f + 9 = 0. Is 3 a factor of w\/(-40) - (-67)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (115 + 245 - 1419)*(1 - 1 + r) to the form m*r + p and give m.\nAnswer: -1059","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*o + 3*o = -490. Suppose x + o = 3*n + 12, -n = -4*x - 1. Calculate the remainder when 61 is divided by n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*q = -5*k - 52, -540*k + 2 = -537*k + 4*q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of x**3\/3 + x. Let q(m) be the second derivative of m**3\/6 - 69*m. Determine d(q(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -102*b**2 - 14*b - 100. Let t be n(-25). What is t rounded to the nearest one thousand?\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*m - 319*m + 16820 = 20*m. Solve -m*r + 44 = -47*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 0*q**2 + 0*q - 2\/7*q**3 + 0 + 2\/7*q**4 = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 5 + (-3 - -3) + -3. Let i be 3 - (s - -1) - -2. Suppose -79*m = -82*m + 3. Solve i*a + 5 = -m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*q + 24*q = -129. What is the nearest to -1 in q, 1, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f, 1 m, and 1 g when four letters picked without replacement from {f: 3, j: 4, m: 1, g: 6}?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.22 - -60.78. Let u = y + -43.2. Let b = 18.185 - u. What is b rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30 + 0 + 1 + (2156 - 2144)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -618.044 or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**3 + 5*g - 3. Let q(u) = 4*u - 2 - 2*u + 2*u. Let j be (1 + -2)\/((-2)\/(-6)). Give j*q(s) + 2*p(s).\nAnswer: 2*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5.7 - 5.6. Let y = -0.04 + 0.07. Let d = y + 3.97. What is the closest to t in -1\/5, 0.2, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**2 - 14*s - 22. Let w(q) = -q**2 - 3*q - 2. Let z be w(-5). Let m be b(z). Suppose 2*r + 629 = 6*r - 5*x, -466 = -3*r - m*x. Does 39 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w**4 - 3*w**4 + 3*w**4)*(6 - 1 - 4)*(0 - 16*w + 1 + 1).\nAnswer: -32*w**5 + 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1664\/784)\/(-26))\/(2\/21).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes after 8:13 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7104236 (base 9) to base 3.\nAnswer: -21010011021020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(4\/5)\/z*z**6)\/(z**(-1))**(1\/13) assuming z is positive.\nAnswer: z**(382\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.43710685 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 54*29\/15660 + 39\/(-190). Let o be (4\/(-10))\/((-16)\/(-5815)). Let n = 145 + o. Which is the third biggest value?  (a) n  (b) r  (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -19  (b) -0.04  (c) -137  (d) 2\/27  (e) -5\/4  (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes before 3:55 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -y - 12. Let f = 11 + y. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (27\/9)\/((-6)\/8). Let d be 3*(-22)\/1815*-5. Are d and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -11967*k**2 + 532*k - 1923066.\nAnswer: -23934*k + 532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**3 + 15*i**2 + 4*i + 28. Is 16 a factor of m(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10301 is divided by 184?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/12 - (-105)\/28.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 10386130 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is (-200221)\/(-28) + 2\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h**4 - 76*h**3 - 312*h**2 - 464*h - 224 = 0.\nAnswer: -14, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkkkkkjljlkkklkkk. Give prob of picking 2 j.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 255165 divided by 7?\nAnswer: 255165\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -463, -1834, -4119, -7318?\n\"Answer: -457*g**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*u - 1260 - 1223 + 0*u + 3751 - 1268 - 2*u + 4*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-20)\/(4\/(-8) + 0). Let a = 208 - 199. Let q = x - a. What is the highest common factor of q and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**12\/(z**(-43)*z))\/(z**38\/z**(3\/13)) assuming z is positive.\nAnswer: z**(211\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -168*v - 2198. What is a(-13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3430 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -50 - (14\/(140\/50) - (18 - 30\/6))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -498612 divided by -6.\nAnswer: 83102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -73532\/301 + 56209106\/3311. Let i = l - 16824. Let s = i + 92. Which is the second biggest value?  (a) 0.4  (b) s  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 802114 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6 + 6 + 6*m**2)*(-2*m + m + 0*m)*(4 - 4 - m) + (-2 - 2 + 6)*(-3*m**4 + 7*m**4 - 2*m**4) as h*m + v + p*m**4 + o*m**3 + z*m**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**3 + 8 - l - 2*l**2 - 6*l + 0*l**2 - 3*l**2. Let h be i(6). Sort -4, 0, h in decreasing order.\nAnswer: h, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j - 8 = -8. Let v = 20 + -17. Suppose -2*g - 2 = -p, v*p - 4*g = 2 + 4. Solve 23 = -5*h + 2*y, p*h + j*y = 5*y - 26 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**3 + 4*i**2 - 6*i - 5. Let b be a(-5). Let t(w) = w**2 + w + 4. Let d be t(b). Put d, 5, 1 in decreasing order.\nAnswer: 5, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6464.7 - 6464. Suppose -n = 4*n + 30. Let d(x) = x**2 + 7*x + 9. Let i be d(n). Which is the third biggest value?  (a) i  (b) 5  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -340\/7*y + 28900\/7 + 340\/7*y**3 - 1\/7*y**4 - 28899\/7*y**2 = 0.\nAnswer: -1, 1, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 4*q**3 - 55*q**2 + 28*q + 13. Calculate j(14).\nAnswer: 601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q = 2*z + 2*z - 20, -q - 5 = z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -143  (b) 1  (c) -4047\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 93.479 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -787, -1351, -2299, -3649, -5419, -7627, -10291, -13429?\nAnswer: -17059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17 - 25. List the prime factors of (366\/4)\/((-12)\/l).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 50776\/7 + 13\/364*8?\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -201 + 331021?\nAnswer: 330220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*k**3 + 0*k**3 + 9*k - k**3 + 0*k to the form d*k**3 + f*k + l*k**2 + g and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 49 in -1\/55, -1.91, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16939\/66 + -778\/3. Let r = 426 + -813\/2. Find the common denominator of r and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 6, q: 10, v: 4}. Give prob of sequence sq.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l**3 + 3*l**3 - 6*l**3)*(2*l**2 + 3*l**2 - 11*l**2).\nAnswer: 12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(1\/6)*h)\/h)\/(h*h\/h**(4\/11)) assuming h is positive.\nAnswer: h**(-97\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/7600 and 89\/280.\nAnswer: 53200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from ftefbfbebtf.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in fourty-one halves of a meter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -37*z**2 - 7*z + 433*z**3 - 429*z**3 + 4*z + 22*z**2 - 55*z**2 to the form o + s*z**3 + h*z + b*z**2 and give b.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.504953 rounded to 3 dps?\nAnswer: 0.505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 7*g**2 + 7*g - 6. Let o(w) = 5*w**2 + 7*w - 5. Let b(c) = 3*o(c) - 2*v(c). Let t be b(-8). Solve 10 = -2*q + t*f, -2*q - 3*f = f - 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -36, -32, -38, -60, -104, -176, -282?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 2 g when three letters picked without replacement from xdxqxqgxxgxq?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -3*b**2 - 23*b + 14. Let o be l(-8). Solve -4*g + o = 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1038 + 1003?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16, 79, 262, 625, 1228?\nAnswer: 2131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 555 and 188885.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.1  (b) -1.59  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 8*r**2 + 34*r + 244. Let l(f) = -5*f**2 - 18*f - 121. Let c(h) = -3*j(h) - 5*l(h). Let q be c(-7). Solve q*t = 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -61*m + 4. Let p be c(-2). Suppose 5*f - 16 - 10 = -4*g, 4*f - 19 = -3*g. Calculate the least common multiple of 2\/(-7) - (-666)\/p and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 13 in 1\/3, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 16*l**5 - 894*l**4 + 894*l**4 + 2*l**5 + l**4 - l**4 + (-3*l**2 + 0*l**2 + l**2)*(2*l**3 + 0*l + 0*l) - 3*l**5 + 4*l**5 - 3*l**5.\nAnswer: 12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**2 - 27*y + 49. Give u(-30).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 0.2  (b) -6  (c) -337  (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-3)*18\/(-4). Suppose -6 = 2*d, -4*x + 2*d + 11 = -q*x. Let v be 17\/x + 18\/(-6). What is the smallest value in 1, v, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 3*c - 3886, -w + 6*w + 4*c - 19386 = 0. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21 + -2 + (2 + 57 - 22) + 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 132, -5, -1\/177, -91, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -1 - 31. Let o be (-2 - 45\/(-25))\/((-2)\/50). Suppose -3*b = -15, -2*b - 3*b = -o*k - 15. Solve 4*m - 14 = -0*v - 2*v, 0 = -k*m - 4*v + r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:36 AM and 5:05 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 447 a factor of 7838882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -10*k**3 + 5*k**2 + 14*k. Let u(z) = 10*z**3 - 6*z**2 - 14*z. Let a(m) = 5*u(m) + 6*x(m). What is the second derivative of a(l) wrt l?\nAnswer: -60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 155017263?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1 - -1.1. What is the closest to r in 1\/3, 4\/5, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 490439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (300\/225)\/(258\/9)\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -396, -400, -406, -414, -424, -436, -450?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ac (base 16) to base 12\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-36)\/20*(176\/(-66) + 4)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 798298.\nAnswer: 2, 399149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12 + -8. Is -6 - -6 - w\/(4\/(-353)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**3 + 14*z**2 + 23*z - 5. Let m(j) = -j**3 + 7*j**2 + 12*j - 2. Let f(g) = -3*c(g) + 5*m(g). Let y be f(-7). Let x = y - 232. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 28, 386 in decreasing order.\nAnswer: 386, 28, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-1*2\/5)\/(28\/1680*-4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 - 0. Let p = -2 - h. Let m be 10\/3 - 20\/(-30). Sort m, 2, p in decreasing order.\nAnswer: m, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2343 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4443362839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**2 - 19723*f. Let w(t) = -t. Give w(h(o)).\nAnswer: -o**2 + 19723*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1032*f + 1150 = -1022*f. What is the remainder when f is divided by (60\/9)\/(2\/9)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-30)\/(-135) - (-2)\/(-9)) + 7. Suppose -d*m - 516 = -13*m. What are the prime factors of m?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5\/3, -31\/958, 0.4?\nAnswer: -31\/958","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/119 and -53\/153?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 184988 by 7.\nAnswer: 184988\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 252 + -34. Let g = s + -24. Suppose 0 = -5*x + g - 4. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1108497750 a multiple of 5745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - 4*y + 10*y - 3 + (-y - 2*y + 5*y)*(3 - 3 - 2) + 20*y - 10*y + 40*y to the form r + s*y and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 83507?\nAnswer: 113, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**2 - 1. Let f be d(-1). Let u(z) = 2*z - 1 - 8 + f*z. Let p be u(6). Solve 0 = -4*q - 1 - p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from svzlzzszzsa.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vo when two letters picked without replacement from {y: 3, v: 5, d: 1, x: 1, o: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-32)\/272 - (15 - -78*(-375)\/1530).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2565 by -24.\nAnswer: -855\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*f**2 - 2313*f**3 + 2300*f**3 + 22*f**2 - 12*f**2 - 2*f - 38 to i*f + g + o*f**3 + l*f**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -30*g - 299. Determine v(-4).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w = -6*m + 5*m - 10, -4*w = 5*m + 17 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 79660 is divided by 39822.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 9 = 3. Suppose 421 = 5*n - 4*a, -2 = -0*a - v*a. Does 41 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -120*j - 2 - 98*j - 4 + 3. Is h(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16*4\/(-96))\/((-1)\/(3\/2))*-10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 542845?\nAnswer: 5, 151, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6*-3*4\/36. Let r be 1 + p - 2*-358. Suppose 27*x = 14*x + r. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7495960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j**5 + j**5 - 4*j**5)*(278 + 1143 - 794 + 928 + 815).\nAnswer: -7110*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 34097 + -2148056\/63. What is the common denominator of 31\/36 and t?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 2*b + 100. Let m be -5 + b\/(-5) - (-4 - 2). Solve 5*c - m*i = -30, -2*i + 4 + 0 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -41.2, 5, 6\/13 in descending order.\nAnswer: 5, 6\/13, -41.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 550?  (a) -4  (b) -0.3  (c) 4  (d) 136\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31289.\nAnswer: 67, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 574*n + 213. Let g be o(15). Suppose 2*a + g = 55325. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes after 2:28 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 11*a + 96. Let d be t(-9). Let l be 1*11 + 2\/(-2). Suppose 18 = 5*u - 2. Sort u, l, d in ascending order.\nAnswer: d, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/26834379 and -27\/2126734.\nAnswer: 912368886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -37, -2, 3, 4 in descending order.\nAnswer: 4, 3, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes before 2:31 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 23*k**3*v**2 + 8*k**3*v - 2*k**2*v - 257*k - 2*v**2 wrt k?\nAnswer: 138*v**2 + 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 77 + 2*l**2 + 61929*l + 79 - 161.\nAnswer: 2*l**2 + 61929*l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 312 and (38 + -35)\/(1\/65)?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 163\/66 and -32\/363.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 4*b**2\/5 - 1596*b\/5 + 3176\/5 = 0.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, -2\/81, 9, -6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*f + 0*f + 3*f + (2 + 2 - 2)*(-2*f - 2 + 2).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3.52 - 0.88. Let d = -4.394 - u. Let r = 0.047 - d. What is r rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -128383, -5, -46, -2 in descending order.\nAnswer: -2, -5, -46, -128383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 22873220 rounded to the nearest 10000?\nAnswer: 22870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4422\/(-264))\/(2\/(-8)). Find the second derivative of -9 + 27*f**2 - 8*f - y*f**2 + 61*f**2 wrt f.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0003232137 to 7 dps.\nAnswer: 0.0003232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.025 and -127.8.\nAnswer: 3.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -332*t. Let y(u) = 4*u**2. Determine r(y(n)).\nAnswer: -1328*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1111923 to the power of 1\/2, to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -258593 divided by -6989?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 14 and 287.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes after 7:36 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 311016 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**3 - 45*k**2 + 56*k - 109. Is t(48) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -12*b. Let q(c) = 2*c**2 - 3*c. Let m(x) = 5*x**2 - 7*x. Let v(y) = -6*m(y) + 14*q(y). Calculate v(a(k)).\nAnswer: -288*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 246706527 to the power of 1\/4, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 4*j**2 + 558*j + 3864. Determine a(-7).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 41 in -26, 1, 1\/3, -467\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 15 = -4*t, -25 = -9*t + 4*t. Suppose 5*p - 2*k = 6, 5 = 2*k + f. Let g(u) = u**2 - u + 4. What is the smallest common multiple of 11 and g(p)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 9\/(-2)*36096\/(-9). Let v = y - 9128. Suppose 6*r - 14*r + v = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000035591314 rounded to 6 decimal places?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25\/(125\/(-40)) - ((-456)\/(-22))\/(-3).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-66)\/(-11)*(-1)\/6*-20?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8 + -11. What is the third smallest value in 1\/6, m, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 + 9*c**2 + 10*c - 20. Suppose 2 + 12 = -2*u. Let x be j(u). Solve -5*z - 4*s + 7 = -3*s, 2*z - 5*s = -x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3*p - p - 2)*(-p + 2*p + p)*(3 + 0 - 4).\nAnswer: -4*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001934454927 to 7 dps.\nAnswer: -0.0001934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 625, 1882, 5289, 11926, 22873, 39210?\nAnswer: 62017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4015.\nAnswer: 5, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7103429 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes before 5:30 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -22013 - -28943. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and 1632.5?\nAnswer: -816.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 - 34*m + 103. Let u be v(14). Let b = -545 - u. Calculate the remainder when b is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 2*y. Let g be a(-1). Let s = -19 - g. Let b = s + 32. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12425391 and 414.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3\/6)\/(1\/2). Suppose 30*t = 27*t - 12. Let c = -1 - t. Sort i, -1, c in decreasing order.\nAnswer: c, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c and 1 i when four letters picked without replacement from {g: 4, i: 1, c: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -62 + 67. What is the nearest to 2 in 1\/4, -4, t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 2*m = -3*k + 10, -2*k - 4 = -2*m. Calculate the remainder when 34\/2 - (-2 - -2) is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -95713 - 8889.\nAnswer: -104602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -114*r + 4 = -115*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 4*d + 15. Suppose 4*l - 8*l + 1220 = d. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2759*a**2 + 1016*a**2 + 657*a**3 - 3004*a**3 + 1587*a**3 wrt a?\nAnswer: -4560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**2 + 41*d + 4233. Give o(-42).\nAnswer: 747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qpxi when four letters picked without replacement from {p: 1, i: 1, c: 1, q: 1, x: 1, y: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 - 2 + 6 + t)*(-2050*t**2 + 68093 - 68093) in the form v + n*t**3 + m*t + y*t**2 and give n.\nAnswer: -2050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(5000) + -3*sqrt(50)*5)\/(sqrt(60)\/sqrt(6)*3 + (sqrt(40)\/sqrt(4) - sqrt(10))*-2).\nAnswer: -5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (1 - 1) + 9 + 0\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 14\/9  (b) 0.2  (c) -16  (d) -2\/11  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 7992.5 + -1.22\nAnswer: 7991.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 71*w + 1007. What is the lowest common multiple of 42 and o(-13)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 k when two letters picked without replacement from aukbd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -607, -611, -617, -625, -635, -647, -661?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**3 - 22*f**2 + 22*f - 23. Let b be i(-23). Solve 3*p - p - 4 = b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 4*b**3 + 63*b**2 + 303*b + 503. Suppose 0 = 14*x - 11 - 45. Let y(s) = 3*s + x + 64*s**2 - 3 - 2*s - 63*s**2. Let f(l) = q(l) - 3*y(l). Factor f(i).\nAnswer: 4*(i + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 262*q**2 - 2*q - 2. Let a be h(2). Let m = -102 + 763. Let f = a - m. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -4*n**3 - 272*n**2 + 852*n = 0?\nAnswer: -71, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 156\/351 - ((-260)\/(-50))\/13?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 2*h - 3474 = 0, 5*h = -c + 5*c + 6945. Let b = c + 2441. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2369, 2363, 2357, 2351, 2345, 2339?\nAnswer: 2333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a - 4*o + 4, 2*a - o + 2 = -2*o. Let g = -10 + 18. Let l = a + g. Solve -2 = -2*r + 3*p - 6*p, -l*p + 18 = -4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(320)*-1 - sqrt(320))*6 - (-1*sqrt(320)*2 + sqrt(320)))\/(((1*sqrt(48) - sqrt(48))*-3 - sqrt(48))\/(1*sqrt(12)*6)).\nAnswer: 264*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 + 0 = 7*t. Let q = -4\/3 + 1. Let l = 0.2 - 0.3. Which is the nearest to l?  (a) t  (b) q  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1b + 17?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -5*i, -11*p + 8*p + 21 = 2*i. Solve p*j - 41 + 14 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 40\/6*1782\/135. Suppose -12*u + g = -20. What is the lowest common multiple of 105\/u + 1 - (-12)\/(-18) and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 521 = z, -23*z = -22*z + 3*j + 527. Round z to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 103*w**4 - w - 90?\nAnswer: 1236*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66)\/sqrt(3)*5)\/sqrt(2).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, j: 4, k: 4, t: 2}. What is prob of sequence jjlj?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g - 2*g + 0*g)*(9 + 6*g - 9) + 94 + g**2 + 0*g**2 - 76.\nAnswer: -5*g**2 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in eleven tenths of a centimeter?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16908171?\nAnswer: 3, 7, 103, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12238?\nAnswer: 2, 29, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/153)\/(122\/(-2074)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1778327*z**4 + 21383865*z.\nAnswer: 21339924*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -4*l - 26. Let t be n(-11). Let u = t - 2. What is the remainder when 93 is divided by u - (-2 - (1 - 3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 79*h + 3. Let t be ((-1)\/(-2))\/((12\/(-8))\/3). Let j be i(t). Let g = j + 92. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes before 11:55 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/(-255))\/((-135)\/(-405))*(-1)\/(-5)*-1?\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -6 * -6202\nAnswer: 37212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**15*c*c**(-2\/51))**(-44)*(c*(c\/(c\/c**(-2)))\/c)**(1\/41)\/(c\/(c**(-1\/6)*c)*c\/(c\/c**(-6))) assuming c is positive.\nAnswer: c**(-970907\/1394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*s = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2932 is divided by 163.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 32284, 8, 2\/39?\nAnswer: 32284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 40 + 1414. Let d = 647 + m. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -862872*s. Let l(v) = -70*v**2. Calculate l(r(w)).\nAnswer: -52118366186880*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56 - 56 + 9*p.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 49178140 - 49178192.000029. Let u = 52 + n. Round u to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -23108.011546 + 23108. What is k rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-22*l + l**2 + 22*l + (4 - 4 + 2*l)*(3*l - 2*l + l) + 3*l**2 + 2*l**2 - 7*l**2)*(-22 - 16 - 12)*(-4 - 5 - 1).\nAnswer: 1500*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 4\/11, -1, 3?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25725.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 0, -323*k = -318*k - 2*s - 1540. Calculate the highest common divisor of k and 5467.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (-15)\/(-6)*(-8)\/(-40)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 280 bigger than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**2 - 17*h - 28. Calculate the remainder when 33 is divided by f(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 + 2. Let a(q) = -q**2 + 7*q - 5. Let z(h) = -1902*h + h**2 + 946*h + 0*h**2 + 3 + 953*h. Calculate y*a(s) + 5*z(s).\nAnswer: 2*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 2*g, 9 = -5*g - 4*a - 0. Let j be (-2)\/7*-14*g\/(-2). Suppose 0 = 2*o - 2*f - 44, -3*f + 4 = -j. Calculate the remainder when 70 is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -885 - -882. Let y be -6 - 4\/f*12. Solve -2*n + 4 = y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -112 + 113. Let g = -3578\/11 + 325. Is g equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (435*o**3 + 291*o**3 - 1130*o**3)*(1 + 8 - 1) to w + c*o**2 + h*o**3 + t*o and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f**3 + 19332*f**2 + 46715778*f = 0. Calculate f.\nAnswer: -4833, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1081 = 2770*v - 910*v - 909*v - 904*v for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97786*l - 52 = 97778*l + 5*j, 5*j = 20 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -276 + 1252. What is the first derivative of -246*h - i*h + 20*h**3 + 11 + 492*h wrt h?\nAnswer: 60*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d - 5*u - 1623 = -1616, -3*d - 5*u - 11 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/((-15)\/(-10)*16\/(-18)*3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.0343 and -2337992807703.\nAnswer: -2337992807703.0343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 3570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + -34 + 21 + (2 - -3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 970 divided by 5.\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwsswsssws. Give prob of sequence ws.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 4 = -3. Let x(a) = -a**3 + 6*a**2 + 5*a + 10. Let i be x(t). Let z(w) = w**2 + 7*w + 6. Determine z(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssa when three letters picked without replacement from ssinalo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d - b + 3261, -22*d + 23*d + 1087 = -b. Round d to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 5*l + 22411, 24*l + 11233 = 2*k + 27*l. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 1 o when three letters picked without replacement from {v: 3, w: 1, c: 5, o: 1}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from {i: 5, t: 2, v: 5}.\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -29 + 18. Let t = 7 + d. Let s(a) = a**2 + 42*a + 81. Let u be s(-2). What is the closest to u in t, 2\/11, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 157*3\/18 + (-14574)\/12492.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes before 8:46 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -179 - -179. Let p = 8 + 22. Let y = p - 30.2. Which is the nearest to y?  (a) 2\/19  (b) -4  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l. Let h be b(-1). Let i = -0.4 - 3.6. Let d = i - -3.9. What is the closest to h in -0.5, 2, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -31, -112, -259, -484, -799, -1216?\n\"Answer: -2*v**3 - 21*v**2 - 4*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 24 - 14. Suppose 4*x + 2*g = 66, -x + 10 = -3*g - a. Let l = x - -3. Calculate the highest common factor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*i + 317 = 7. Let a(x) = 0*x + 4*x - 13 + 2*x**2 + 0*x**2. What are the prime factors of a(i)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - n = 33. Let x(m) = m**3 - 10*m**2 - 11*m + 1. Let y be x(n). Is -1\/5 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 100\/10*(8 + 0). Let k = 84 - u. What is the common denominator of (-11)\/(165\/100) - k and 47\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -40 divided by -3\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 60 + (22 + -33 - 12) + (1 - 3)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -29\/4, -47, -1 in descending order.\nAnswer: 0.5, -1, -29\/4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23391207?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -26*f - 939. What is y(-35)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 334035 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -15, -64, -153, -288, -475, -720?\n\"Answer: -l**3 - 14*l**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 67 = 2*s, 3*s - 59 - 9 = -2*o. Suppose -13*j + 499 = 5*k - 331, 0 = 3*j - 15. Calculate the remainder when k is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.06 and 0.032.\nAnswer: 0.00192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 70\/3 - 24. Let f be (-5)\/((-1050)\/(-8))*24. Let s = f - -5\/7. What is the second smallest value in s, z, 1\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*b + 26695 + 8395 = 0. Calculate the highest common factor of 58 and b.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -5*g - 885, -190 = -4*j - 4*g + 1566. Let t be j\/(-35) + 9\/(-21). Let a = 84 + t. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 259\/9 - 30\/(-135) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**2 - q + 2. Let j be b(0). Let w be (5 + -1)\/(4\/j). Find the first derivative of -w*a**3 + 1 + 2*a - 2*a wrt a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -180*m - 23 + 23 - 62*m.\nAnswer: -242*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 1 - 1)*(-787*i - 20116*i + 3912*i) to the form k*i + a and give k.\nAnswer: -33982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 73*s**2 - 40*s**2 - 41*s**2.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwyuuwwwfqwyzwyuqu. Give prob of picking 1 z and 1 f.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -27 - -1971c?\nAnswer: 196c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 239649.256 + -239621.15624146. Let h = -27.705762 + z. Let b = -0.394 + h. Round b to seven dps.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*t + 1022 + 446 + 284 + 242 + 17*t to the form d + p*t and give d.\nAnswer: 1994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of 11\/6*v**3 + 0 + 0*v**2 - 2*v. Calculate the remainder when c(3) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 0.6, 0, 5\/2 in decreasing order.\nAnswer: 5\/2, 0.6, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 196019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 - 1)\/(-5 + 6). Suppose 4*i + 221 - 9 = s. Let c = i - -74. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -6  (b) -2\/7  (c) -19  (d) -2\/9  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3\/2 - 587*x**2\/2 - 42328*x + 219040.\nAnswer: -(x - 5)*(x + 296)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 282480 and 10384?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-22)\/2288*-16 + 158\/(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*n + 2*n**3 + 10*n)*(-n**2 + 3 - 3).\nAnswer: -2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/801699 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*q - 5 + 5 + 58*q - 56*q.\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 525 and 18?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the second derivative of 0 - 7\/6*o**3 + o**2 + 1\/12*o**4 - 3*o. Calculate the remainder when m(8) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-3) + 45\/(-108). Which is the biggest value?  (a) q  (b) -2\/7  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes before 11:27 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -908, -1846, -2784, -3722?\n\"Answer: -938*a + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -91948256*y**3 - 2654*y**2 + 4607 wrt y?\nAnswer: -551689536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 397324447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 315 and 2621745?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 2 + 0)*(0 + 0 + o) + (3 - 2 + 0)*(2*o + 4 - 4) - 10*o - 27*o + 19*o.\nAnswer: -19*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 6 = 2*z - 0, 7 = -2*s + 3*z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -232719572452 + 30009887026859975\/128953. Let i = r + -2\/11723. Find the common denominator of i and -68\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -9*f + 7. Let a(i) = -8*i + 6. Suppose 7*y - 2*y = 4*v + 100, -5*y + v = -115. Suppose -4*m = 2*x - 3*x + y, -3*x = 0. Calculate m*a(k) + 5*c(k).\nAnswer: 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 1 + 0 - 2*a**2 + 3*a**2 + 1 + 7*a. Calculate the smallest common multiple of b(-8) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1706936171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*17\/((-1071)\/(-45)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (-3 - -3) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**1)**(-2\/7))**(-18)*(x*(x\/(x*x\/((x\/((x*x\/(x*x**(2\/11)*x)*x)\/x))\/x)))\/x*x**6)\/(x**(-2)\/x*x**5) assuming x is positive.\nAnswer: x**(641\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -1, 2\/13, -28734?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -71 - -1?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (192\/(-6944))\/(12\/28).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 968310943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 38*h - 81*h - 79*h - 1708 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**2 + 13. Let x be m(-6). Suppose -5*y - 3*r + x = 0, 0*y + 5*r = -4*y + 34. Suppose y*a - 32 = 3*a. Sort a, 0.5, 1, 0.3 in descending order.\nAnswer: a, 1, 0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 77 - 78 = 0. Let d(x) = -30*x**2 + c*x**2 - 2 + 2*x - 1 - 1. Determine d(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 61215.5885 to the nearest 100.\nAnswer: 61200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2603 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -10*z. Let l(j) = j**3 - 12*j**2 - 15*j + 28. Let x be l(13). Let s(c) = -c**2 + 9*c**x - 12*c**2 + 2*c**2. Determine s(g(p)).\nAnswer: -200*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 7\/5 - 13\/(65\/2). Let z = 6 + -2. Let w be (43 + -4)*z - (m - 0). What is the greatest common factor of w and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is ((-17)\/(1428\/63))\/((-9)\/(-2))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 8 - 8 + 19*j**2 in the form t*j**2 + m + g*j and give t.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(84)*-3*3)\/(3*sqrt(7)*-3))\/(4*(sqrt(864) - (sqrt(864) + sqrt(864) + -2*sqrt(864) + sqrt(864))) - sqrt(864) - -2*2*sqrt(864)).\nAnswer: sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-75)\/12)\/5*21\/(-35)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.04?  (a) 1  (b) -2\/43  (c) 3  (d) -0.06  (e) 1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 4443407 (base 8) to base 11\nAnswer: 748a48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 + 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -3\/5  (b) -36  (c) -0.3  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -145 (base 14) in base 3?\nAnswer: -100112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (1 + 5 - (-15 + 20))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*u**2 + 2*u**2 - 7*u + 20*u**2 - 8*u**2 + 2*u**2 + 3*u**2.\nAnswer: -3*u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 + 42*d**2 + 50*d + 365. Let m be a(-41). Let p(x) = x**2 + 6*x - 12. Give p(m).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 9, z: 2}. What is prob of picking 3 t?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1082 + 1088. Let s(x) = 2*x**3 + 7*x - 7. Let a(w) = 2*w**3 + w**2 + 6*w - 6. Calculate i*s(m) - 7*a(m).\nAnswer: -2*m**3 - 7*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 2*g - 2*o - 96 = 0, -4*o = 2*g + 92. Let d = g + 72. Calculate the highest common factor of 33 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-16 + 3 + 6 + (0 + 2 - 3)*(0 + 3 + 0))*(-3*b - 12*b - 11*b) + (0 + 1 + 0)*(2*b - 2*b - 2*b)*(-3 + 3 + 1) to the form f*b + x and give f.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 5*i + 1143 = -0*l, l - 381 = 5*i. Suppose -l*c + 26747 = -374*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 - ((9 - 7 - 12) + 15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 312, -2, 20, -4 in increasing order.\nAnswer: -4, -2, 20, 312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 10*b - 2*b + 11*b**2 - 2 + 2*b**3 - 2*b**2 - b**3. Let x be u(-8). Let f(t) = -1. Let j(p) = p + 11. Determine x*j(g) - 22*f(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5826 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 - 1*-10 - 0. Suppose 2*z - 5*z + q = 0. Suppose 0 = 2*i - z*i + 1700. Round i to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7700 and 236246010.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10080 - 10080.091. Which is the closest to g?  (a) 3  (b) -0.4  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 124068378 divided by -1?\nAnswer: -124068378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -45 + 38. Let c(j) = j**2 + 5*j - 11. Let g be c(k). What is the tens digit of (58*3)\/g + -9 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -78520, 4, -0.9439 in decreasing order.\nAnswer: 4, -0.9439, -78520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 349 divided by 43\nAnswer: 349\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76 = 2*n - 6*n - 4*t, 86*n + 549 = -4*t - 872 - 171 + 286 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the first derivative of -d**3 + 2*d - 8. Find the first derivative of w(y) wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the third derivative of a**4\/12 - a**3\/2 - a**2. Let h(r) = -2*r - 9. Let x be h(-7). Let b = 2 - -2. Let f(t) = -2*t + 4. Give b*f(s) + x*c(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 577 (base 9) to base 16\nAnswer: 1db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 213553 (base 6) to base 8.\nAnswer: 42455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3645 equal to 3639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6678923323.99999854 - 6678923226. Let l = -98 + x. What is l rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 7*d + 164361. Let a = d + -3287131\/60. Let z = 1\/60 + a. Sort -0.3, 0.4, z in ascending order.\nAnswer: -0.3, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 4*j**3 + j**2 - 2*j. Let s be u(2). Suppose -4*a + 5*z + 60 = 0, 5*a - 6 = -3*z + s. What is the greatest common divisor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the first derivative of 61*g**5\/5 - 378*g + 117. Differentiate m(b) wrt b.\nAnswer: 244*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the second derivative of -24*n + 0*n**3 + 0*n**2 + 73\/6*n**4 + 54\/5*n**5 - 2. What is the third derivative of j(q) wrt q?\nAnswer: 1296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1410 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**2 - 19*j + 22. Let t(q) = 2*q**2 - 38*q + 44. Let c(m) = -7*k(m) + 4*t(m). Let s be c(18). Solve r + 0*r = s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.005 + -753329605.\nAnswer: -753329604.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7203305?\nAnswer: 5, 71, 103, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -10150, -9449, -8266, -6601, -4454?\n\"Answer: 241*m**2 - 22*m - 10369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o**3 + o**3 + 0*o**3)*(-o - 3*o + o) - 108*o**4 - 176*o**4 - 53*o**4.\nAnswer: -334*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {t: 4, i: 2, z: 6}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 2*x**2 + 19*x - 4. Let l be s(-9). Let j = l + 37. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.1 * 37.31\nAnswer: 41.041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.039 + 39.039. Let g = -34 + t. Sort -1, -1\/3, 3\/7, g in decreasing order.\nAnswer: g, 3\/7, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 3*m + 36 = t, 3*m - 48 = -4*t. Suppose 58 = w + 12. Calculate the remainder when w is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 9:59 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 345565036.\nAnswer: 2, 101, 855359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(833) + -2 + sqrt(833))*5 - (((sqrt(833) + 1)*1 - sqrt(833)) + (sqrt(833) - (2 + sqrt(833) + 5) - sqrt(833))))**2.\nAnswer: -462*sqrt(17) + 100802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1578c (base 14) in base 2?\nAnswer: 1101000110000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5.5574 - -5.5. Let i = -0.0574786 - t. What is i rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -284948173*y**3 - 529745468*y**2.\nAnswer: -1709689038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -1228*-2\nAnswer: 2456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-7)\/(84\/(-9)) + 12\/(-8). Let u = 7.8 + -9. Let o = 1 + u. Put l, -0.1, o in decreasing order.\nAnswer: -0.1, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 140 and 161260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 5*u + 2*v - 34, 5*u - 31 = -2*v. Let t = 6 + u. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19.9 times 1\nAnswer: 19.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide (0 + -2 - 2) + 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-1)\/(-3))\/(2\/30). Suppose f*b - 16 = -2*k + 3*b, 5*b + 20 = k. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-480)\/640 + (-138)\/(-56). Factor -4*j**2 - n*j + 16\/7.\nAnswer: -4*(j + 1)*(7*j - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is b0 - -20a0?\nAnswer: 2160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.1 - -0.11. Let w = v + -0.01. Let o = -0.5 - w. Which is the closest to 1?  (a) 0.4  (b) -4  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -541*m + 565*m = 0. Let q(u) = u + 8. Let h be q(-7). Let i(k) = -3 + 4 + 5 - k - h. What is i(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*x**2\/7 + 56976*x\/7 - 202891536\/7.\nAnswer: -4*(x - 7122)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.01  (b) 36942  (c) -4  (d) 5  (e) -0.3  (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uua when three letters picked without replacement from {u: 2, a: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 + 2 + 3 - 1 - 1 + (-1 + 0 - 1)*(-1 + 0 + 3))*(-15*j**4 - 15*j**4 + 6*j**4) - 1 + j**4 + 1.\nAnswer: -47*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2 - 17 + 354*i**3 + i + 15*i**2 - 355*i**3.\nAnswer: -(i - 15)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 12 - 25 + 8 + 14*x**2 + 40*x. Is m(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-4259)\/614 + -47 + (-2376)\/(-44) and 9\/70?\nAnswer: 21490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11002201020 (base 3) to base 6\nAnswer: 1421353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*l - 3*l + 4*l + (-2 + 3 + 1)*(-3*l - 3*l + 7*l) - l - 2*l - 2*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 47016519 a multiple of 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 - (6 - (-6 + -2 + 17))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 115*f + 6. Let c(g) = 192*g + 10. Let n(t) = 3*c(t) - 5*z(t). Let k(p) = -5*p - 8. What is k(m) + 4*n(m)?\nAnswer: -m - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 10, x: 1, o: 7}. What is prob of sequence oo?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 8*l**3 - 14*l**2 - 12. Let i(f) be the first derivative of -f**3\/3 - f - 112. Calculate -g(k) + 12*i(k).\nAnswer: -8*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 159123 is divided by 534.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 - -910?\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hwwwwwwwhh. Give prob of sequence hhh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t + 1. Let c(b) = -101*b + 2. Give 2*c(u) - 6*l(u).\nAnswer: -196*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 34 = -2*c, 3*q = 2*q - 2. Suppose -c - 30 = -l. What is the remainder when l is divided by 18*(-2)\/3*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**1)**(2\/43)\/(z\/(z*z\/(z**(1\/3)*z))*z*z**(-3)) assuming z is positive.\nAnswer: z**(221\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i = -15, 40 = -69*l + 64*l - 5*i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-9))\/((-3)\/6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2318.9992456 + -2319. What is l rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 3 - 519*o + 6 + 0.\nAnswer: -519*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -2*q + 90. Let j = -16 + q. Is (j\/(-2))\/((-3)\/1041) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19 - 21. Let w be -1 - (d - 2) - -2. Which is the closest to -3?  (a) 0.2  (b) -4  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -11*2\/(-2 + 3). Suppose 77*q = 227 + 81. Calculate the remainder when r\/(-6)*15\/5 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/((-16)\/(-8) + (-28)\/16). Let r be 13 + -9 + -2 + 0. Sort 0, r, a.\nAnswer: a, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (550 - 523) + 1 + -78.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/63 and -22\/119.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-6*(sqrt(5) + -1 + -2 + sqrt(5) + 1*(sqrt(5) - sqrt(245))))**2.\nAnswer: 31104*sqrt(5) + 115344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 14930814 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 12 + -12 + (-66)\/4. Let w = h - -17. Factor 0 + 0*p - 1\/2*p**4 + p**3 - w*p**2.\nAnswer: -p**2*(p - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1474655*s**3 - 1393907*s**3 - 4074207*s**3.\nAnswer: -3993459*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.08659 rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 573126 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1400 - 13?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 15d20ad (base 14) in base 12?\nAnswer: 3711a21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38050.\nAnswer: 2, 5, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 5*o - 25. Suppose -8 = 6*w - o*w. Suppose 0 = 4*a - 4*f - 72, 0*a - 3*a = -w*f - 53. List the prime factors of a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 1 = -110847*i + 110848*i, 0*x - 2*i = x + 11*i + 27 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-20*v + 21*v**2 + 2 + 20*v)*(0*v - 2*v - 3*v + (6*v + 0*v - 2*v)*(-10 + 0 + 1) + 4*v - v - 2*v + 1 - v - 1) as r*v**2 + g*v + a*v**3 + q and give g.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -5*d**2 - 1. Let f be x(1). Let j = 0.30425 - -0.09575. What is the third smallest value in 3, f, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-3)\/(-2))\/(4\/8). Suppose -l*o = -29 - 22. What is the greatest common factor of 17 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the first derivative of -2\/3*d**3 + 4 + 0*d + 0*d**4 + 4\/5*d**5 + 0*d**2. Find the third derivative of q(j) wrt j.\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -13*b + 22*b + 7*b + 4*b**2 - 16*b. Let q(n) = 74*n**2. Calculate q(z(a)).\nAnswer: 1184*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16922794 by -319298.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00060612893 to 5 dps.\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1458758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*k - k - 78. Suppose k = 3*x - 2. Suppose 0 = -4*v - x*i - 13, -i - 14 = 2*v + 3*i. Solve v*f + 2*c - 4*c + 14 = 0, 4*f = c - 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/(((-29845)\/(-1316))\/(-127))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -2847*d + 2. Let s be r(-3). Suppose 3*f + 9 = 0, 2566 = -b - 3*f - s. What is b rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express p + 4*p**4 + 10*p**2 + 11*p**2 - 5*p**4 - 4*p**2 in the form t*p + c*p**2 + r*p**3 + w*p**4 + x and give c.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g + 242 - 218 = 0. Solve g*x + 9 = -3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/(3\/2 - 1). Let j(o) = -3 - o**3 - 2*o + 0 - 4*o**i + 1. Suppose 0 = -27*w - 33*w - 180. What is j(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -288 = t - 3*t. Let z(i) = -3*i**2 + 8*i + 7. Let s be z(3). Suppose -6*w + 180 = s*w. Calculate the highest common divisor of w and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.5?  (a) -56  (b) 18  (c) -5  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62207 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -87, -47, 27, 141, 301, 513?\nAnswer: 783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1422 is divided by 548.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f and 1 w when four letters picked without replacement from wfwqfqffgw?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/24 of a hour in seconds?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s*s**2*s))\/s)\/(s*s**(-2\/5))*(s*s*s*s*s*s**(-2\/3))\/(s*s**1\/s*s) assuming s is positive.\nAnswer: s**(-34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l**2 + l**2 - 5*l**2)*(0 - 3 + 5)*(0 + 0 + 2*l)*(-1 - 2 + 1 + (-100 + 20 - 3)*(-3 + 3 - 1)).\nAnswer: -324*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2.7?  (a) 0  (b) 0.12  (c) 33\/10  (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -223  (b) 0.5  (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 11*l**2 - 3*l + 3. Let t be y(2). Suppose 2*u - t = -9. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from jjjjjjhhjjh?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pno when three letters picked without replacement from {p: 1, o: 5, n: 7}?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 9) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/6 of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3399844?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 15*q**2 + 85*q + 13. Let k(s) = -5*s**2 - 28*s - 4. Let w(c) = -3*f(c) - 8*k(c). Let r be w(-6). Is r less than -1\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 50622 and 107679.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -28984 + 14493 + 372*k + 14491. Let o(w) = 14*w**2. Give r(o(x)).\nAnswer: 5208*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1708412548.\nAnswer: 2, 427103137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -2*c**2 + 5*c + 5. Let f(j) be the first derivative of -11 - 2*j**2 + 1\/3*j**3 - 4*j. Determine 5*f(y) + 4*x(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:11 PM and 6:54 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -220456, -220449, -220430, -220393, -220332, -220241?\nAnswer: -220114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 340 = m. Let x = m + -22. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51 = 35*s - 345 - 24 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, z: 8, v: 2}. Give prob of sequence uu.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -4*w + 3*w. Find the second derivative of -8*g + 2*g**3 + 11*g - 4*g**w wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 547.8915ml in litres?\nAnswer: 0.5478915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 15.6 - 17. Let a = 5.4 + b. Let k be (2\/(-4))\/((-11)\/(-4)). What is the smallest value in -3\/2, a, k?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**3 + 183*k**2 - 1744*k + 2453. Give m(173).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/13)*j*j*j**3\/j)**(7\/6) assuming j is positive.\nAnswer: j**(175\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7630 - -473?\nAnswer: 7aa3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.97  (b) 0.01  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3907, 15194, 33911, 60052, 93611, 134582, 182959?\nAnswer: 238736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 78803149?\nAnswer: 113, 697373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 69875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 11, n: 2, l: 2}. Give prob of sequence nl.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -4*x - a + 44, -2*x - 5*a + 31 = 0. Let t be 0 - (-3 + (x\/4 - 24)). Suppose 0 = t*c - 29*c. Solve -2*j = -c*j + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 505 and 527385539.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, -3\/5, 0, -2.7?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4b2854 (base 14) in base 16?\nAnswer: 27620a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -681 divided by -3.\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 828912.7l in millilitres?\nAnswer: 828912700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 84 + -408. Calculate the remainder when 176 is divided by 5*(-12)\/(-10) - c\/9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -3*i**3 - i**2 - i - 2. Let o be m(-2). Calculate the greatest common divisor of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/65040 and 29\/260160.\nAnswer: 260160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15.7 - -16. Let f be 4\/12*(0 - -1). Let k = -84 - -422\/5. Which is the nearest to f?  (a) -3\/5  (b) l  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -16?  (a) 3  (b) 1259  (c) -0.2  (d) -3  (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**3 + t**2 - 1. Let w(r) = -10*r**3 + r**2 + 2*r - 3. Give -3*h(f) + w(f).\nAnswer: -7*f**3 - 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.1, 56\/3, -3, -5, 1\/274?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 2\/2*1185\/(-90)*590\/(-23305)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-119*b**2 - 118*b**2 - 8756*b**3 + 346*b**2 - 109*b**2)*(-1 + 2 - 3) as c*b + z*b**3 + q + w*b**2 and give z.\nAnswer: 17512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2  (b) 2  (c) -45  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 226*((-7)\/(-6) + (-2)\/3). Let y = 559515\/8 - 69825. Let w = h - y. What is the common denominator of w and 17\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, -2\/21, 5, 8?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 558 divide 2801414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 6*a**2 - 2*a + 3. Let o(v) = 17*v**2 - 2*v + 8. Let k(s) = 17*s**2 - 3*s + 8. Let i(x) = 4*k(x) - 3*o(x). What is 11*g(m) - 4*i(m)?\nAnswer: -2*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -21*a**2 + a + 1. Let u(f) = 359*f**2 + 1958*f - 5256. Let t(n) = 17*h(n) + u(n). Differentiate t(l) with respect to l.\nAnswer: 4*l + 1975","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8*(-24)\/(-224) + 775\/(-35) - 1.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*g + 4*g - 3*g in the form p + o*g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**3 + 5*n**2 + 17*n - 14. Let g be f(7). Solve -2*c = 3 + g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 457498 and 74462.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = 3*w + w + s, 0 = -w + 4*s - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10381519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 682187489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 - 70*v**2 - 21 + 8*v + 17 - 2 + 2*v**3 to the form s*v**3 + h + n*v**2 + z*v and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the second derivative of w**6\/30 + 7*w**5\/20 - 19*w**4\/12 - 7*w**3\/6 + 9*w**2 - 462*w. What is u in c(u) = 0?\nAnswer: -9, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 3*k - 8. Let j be p(4). Let l = 12 + -8. What is the units digit of 104\/j*2\/l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-123) + (-1665456)\/36244\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + (-3 + sqrt(200) - sqrt(200)))*-3)**2.\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11 - -12. Suppose 4 + w = 5*h, b + 2*h - 27 = 0. Factor -3*z**2 - 12*z**3 + 5*z**2 + 0*z**3 + b*z**2 - 6*z.\nAnswer: -3*z*(z - 2)*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**3 + 31*j**2 - 39*j + 21. What is w(-32)?\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 13140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*c**2*k**2 - 2*c**2 + 161102*c*k**3 - 1029992*c*k - 3*k**3 + k**2 wrt k?\nAnswer: 6*c**2 + 966612*c*k - 18*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**3 - 156*m**2 - 134*m - 3705. Give n(157).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l\/l**(4\/3)*l**(-4\/9) assuming l is positive.\nAnswer: l**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.03262 to one dp.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 9601503610 to the nearest one million.\nAnswer: 9602000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 10 + 6)*(-3*u + 2*u - 3*u) + 3*u + 7 - 7 to the form j + z*u and give z.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 3\/2, -1, -1.8, 41.14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 146521*t**3 + 619*t**2 + 2*t - 37?\nAnswer: 879126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 996955 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/12)\/5*(-244)\/(-183)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(360)*2 + sqrt(360))\/sqrt(8) + sqrt(15)\/(sqrt(243) + sqrt(3)).\nAnswer: 91*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-23)\/(759\/(-22)))\/(3\/(-27))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (14 + -3 - -4) + -4 - 10 - -85.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1*9\/1*-3. Is 27843\/v + 12\/(-54) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 4550*y - 4550038. Determine g(1000).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/(y**(1\/4)\/y)*y\/((((y*y**(-3))\/y*y)\/y)\/y))**(17\/6))**(1\/8))**0 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -3 + -17 + 8 + (0 - 15) + -1\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10 - -20. Let a = b + -9.7. Let n = 15 - 16. What is the closest to 0.1 in n, -0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/3*(7 + 29). Let o = -21 + h. Find the second derivative of -4*j**o - 2*j**3 + 14*j + 9*j**3 - 7*j wrt j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -e5 (base 16) in base 6?\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*r**2*v*w**3 - 2*r**2*v*w**2 + 54*r*v - 2*v*w**4 - 7*w**4 wrt w.\nAnswer: 30*r**2*v - 48*v*w - 168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjhijeiijjj. What is prob of sequence jii?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -700*u + 699*u + 154 = 0. Does 22 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g\/(g**5*g*g)*g)\/(g**(2\/15)*g))**34*((g*g**2)\/(g\/(g\/g**(-4\/7)*g)))**(-6) assuming g is positive.\nAnswer: g**(-21206\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.1  (b) -9  (c) 8  (d) -6  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*n**3 - 26*n - 22*n + 47*n + (n - 3*n + n)*(3*n + n**2 - n + 0*n).\nAnswer: -4*n**3 - 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -6*y**3 - 44*y - 182. Does 27 divide n(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 + 2175?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*((sqrt(110) - 2*sqrt(110)) + sqrt(110)))\/(4*sqrt(50)\/sqrt(5)))**2 + (sqrt(2156) + 2)**2 + 1.\nAnswer: 56*sqrt(11) + 2161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 + 11. Suppose t*h + 89 = 425. Let q = h + -58. Calculate the greatest common factor of q and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0121 * 0.5.\nAnswer: -0.00605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 25052 by 10.\nAnswer: 12526\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 24534574793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the second derivative of x**4\/12 + x**3\/2 - 11*x**2\/2 - 1454*x. What is a(-9)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -7, -5, 7, 35, 85?\n\"Answer: n**3 - n**2 - 2*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 576.0011kg?\nAnswer: 576001100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38831.24ng to milligrams.\nAnswer: 0.03883124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 + 8 = 5*o + 3*a, -2*a = -5*o. Suppose -3*h - 67 = -k - 24, 3*h = 3. What is the smallest common multiple of k and o?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in -11, 0, 0.06, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the third derivative of 0 + 0*u**4 - 1\/168*u**8 + 1\/30*u**6 + 0*u - 3*u**2 - 1\/105*u**7 + 0*u**5 + 0*u**3. Factor j(a).\nAnswer: -2*a**3*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that 2*y**5 + 149*y**4 - 876*y**3 + 325*y**2 + 400*y = 0.\nAnswer: -80, -1\/2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and 3.1334432?\nAnswer: 0.62668864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/3, -1\/5, 3.2, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:07 AM and 8:25 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -71*l**5 - 145*l**4 - 9234*l**2 wrt l.\nAnswer: -4260*l**2 - 3480*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -494 - -493.377. What is r rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((-1*(sqrt(65) - -2*sqrt(65)))\/(sqrt(80) - sqrt(80)*-2) + ((sqrt(13) - (-1 + 0 + sqrt(13))) + (sqrt(13) - (sqrt(1300) + -1) - sqrt(13)))**2).\nAnswer: -6520 + 805*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1022122 (base 3) in base 2?\nAnswer: -1111000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34 = -t - 3*k - 29, -4*k = -4*t + 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -24*c**2 - c**5 + 28*c**2 - c**5 wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uouououowuuuouuwou. Give prob of picking 2 w and 2 u.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 1625 + 3157 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:17 AM and 2:53 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v\/v**6)\/v**22*((v\/((v\/(v\/(v*v**(2\/7)))*v)\/v*v))\/v)\/v*v*v**17*v assuming v is positive.\nAnswer: v**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5544778817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 2*v + 1. Let i be z(1). Suppose -4*c - 260 = -2*m, i*c = 5*m - m - 515. Calculate the highest common factor of m and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 5*s - 3. Let t(o) = o - 1. Suppose 11 = -2*z + 6*z - v, -23 = -2*z - 3*v. Let x(r) = z*t(r) - f(r). Let u be x(-11). Solve u = 7*j - 2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -276880056 divided by 1306038?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*a - 16*a = 196. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 513 + -509. Let n(u) = -3387*u + 3373*u - g + 4. Let x(r) = 3*r. Determine n(x(z)).\nAnswer: -42*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 + 0)*(0*d - 2*d + d)*(-4*d**3 + 9 - 9).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -20 + 2*d - 7 - 5*d + d. Let f be q(-15). Let t be (-7)\/((-714)\/12)*-1. Which is the nearest to -2\/7?  (a) f  (b) 1  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 3*n. Let u(z) = 60*z**2 + 18. Let l(a) = -17*a**2 - 5. Let p(b) = 18*l(b) + 5*u(b). Calculate p(h(x)).\nAnswer: -54*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -9 and 97.\nAnswer: -873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 15230*j**3*w**3 + j**3 + j*w**3 + 2388*j*w**2 - 80*j*w wrt j.\nAnswer: 91380*j*w**3 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 i when two letters picked without replacement from {f: 2, w: 4, i: 2, m: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2657 by 24.\nAnswer: -2657\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the first derivative of 1221*q**2\/2 - 1126*q - 920. Differentiate g(s) with respect to s.\nAnswer: 1221","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 430 - 430.01. Which is the closest to 0.2?  (a) i  (b) 0.7  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 3) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*3*(1 + sqrt(19))*6)**2.\nAnswer: 23328*sqrt(19) + 233280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 141 a factor of 21156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -727 at most 3\/9991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4188*v**2 - 195*v - 13 wrt v?\nAnswer: 8376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (-4 - 4) - ((29 - 80) + 147).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 18\/(-21)*((-49)\/21 - 0). Let j(t) be the first derivative of 3*t**3 + 1\/4*t**4 + 0*t - 26 + 0*t**n. What is the third derivative of j(w) wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = -7*n - n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**22\/(i*i*i*i\/(i\/(i*i\/(i\/(i**(10\/9)\/i*i))*i*i))*i)*((i**(-10)*i)\/i*i)**(1\/32))**(6\/11) assuming i is positive.\nAnswer: i**(3919\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*x + 0*x + 105 - 7.\nAnswer: 2*x + 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*f**2*m**2*r + 11406778*f**2*m**2 - 41362*f**2 - 21*f + 2*r wrt m.\nAnswer: -4*f**2*m*r + 22813556*f**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 - 0)*(-3 + 0). Suppose -6*t - 106 = -5*q - l*t, 4*t - 12 = 0. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 5*s + 20 = -5*d, d = -5*s + 20. Suppose -4*t + 531920 - 51920 = d. Round t to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -195 - -203. Suppose -p = -2*i, 0*q + 2*q = -5*i + 32. Calculate the highest common factor of q and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 30*6\/15*-5*(-2)\/(-12)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 6*c + 8. Let z be u(-1). Let d(r) = r**2 - 44*r - z*r**2 + 56*r - 6. Let q be d(11). Which is bigger: 11\/2 or q?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 164 - 68. What is the highest common factor of 16 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13251, 26501, 39751, 53001?\nAnswer: 66251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -r + 362, r = -2*p - 153 + 517. What is the greatest common divisor of 46 and r?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -1352?\nAnswer: -1352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 4*u = 3*g - 248, -2*u = 4*g - 266. Suppose -g = 5*k - 6*k. Suppose 0 = -0*f - 5*f + k. Calculate the greatest common factor of f and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1744*31\/992 - -54.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -2100, -156 in descending order.\nAnswer: -3, -156, -2100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (19 - (-48 - -59)) + 13\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 45 and 2400?\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/57 and 1652\/(-352) + -3*2\/33.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 4*h - 303 = 3*m, 3*h + 99 = -m. Let g = m + 165. What is the first derivative of 63*r - 19*r**2 - g*r + 12 wrt r?\nAnswer: -38*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 327 and -916.5?\nAnswer: -299695.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -5*k + 4*v - 8*v, -4*k - 24 = -5*v. What is the closest to -0.1 in k, -2\/9, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/15*(45\/(-10))\/(-9).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 388 - 180. Let r = k - 204. Which is the second smallest value?  (a) -9  (b) 0.4  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -520, -534, -608, -778, -1080?\nAnswer: -1550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 12 and 0.077 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes after 12:18 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1201415 (base 6) to base 9.\nAnswer: 104752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(3)*-3)**2 + -3)*-5.\nAnswer: -3360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 736 and 24?\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11554 and 18?\nAnswer: 103986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the third derivative of 0 + 0*s**3 + 0*s + 1\/12*s**4 - 23*s**2. Let x(z) be the second derivative of -5*z**4\/4 + z. Give h(x(g)).\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**4*d)\/((d*d\/(d\/(d\/(d*d\/(d\/(d*d**(-2\/7)\/d*d)))))*d)\/d)*d**(-3\/16)*d*d**10)**(-14) assuming d is positive.\nAnswer: d**(-1739\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 116 + -109 + (-7)\/(-7) + 17*1727?\nAnswer: 3, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*l**3 + 259091*l + 259157*l - 518248*l.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1000222 (base 3) in base 14?\nAnswer: -3bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6544763*h**3*w + 2*h**2 + 895906*h*w + 7*w wrt h?\nAnswer: -39268578*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 37843119 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*(-1 - (-3 + 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2468 and 14191?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 28 - 27. Is 1 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes after 8:00 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t + 25. Let f be a(26). Let h(x) = 2*x + 2. Let o be h(f). Suppose -2*v + q + 77 = 3*v, 3*q + 6 = o. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(5*((sqrt(1900) + sqrt(1900)*1 + -2 - sqrt(1900) - (sqrt(1900)*-2 + 3)) + -5))**2.\nAnswer: -90000*sqrt(19) + 2580000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the second derivative of j**4\/6 - 17*j - 8. Let f(h) = 59*h. What is f(g(m))?\nAnswer: 118*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 2415387612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -54 + 53. Let f(o) = o**2. Let z = -12 + 14. Let q(y) = 8*y**2 + 5*y**2 - 24*y**z + 7*y**2 + y + 1. Determine k*q(v) - 3*f(v).\nAnswer: v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 15383*d - 92338. What is o(6)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 209612.86201 and -4?\nAnswer: 209616.86201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 320165.\nAnswer: 5, 64033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 47949.3 plus 6019?\nAnswer: 53968.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -36.5 + 37. Which is the closest to -2\/9?  (a) 0.1  (b) u  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d - 1. Let i(r) = 1. Let p(z) = 3*i(z) + 3*t(z). Let o(n) = -3*n**2. Calculate o(p(m)).\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -10233 - -37\nAnswer: -10196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + (8 - 2) - (6 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 53*v - 46. Let r be h(1). Let i(b) = -2 - 8 - 1 + 1 + 3*b - r. Determine i(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7516744792 rounded to two decimal places?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**2 + 29*q - 346. Let b be m(10). Let o(n) = -90*n - 1. Let g be o(1). Let p = b - g. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-6))\/((-24)\/(-36)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 - 5*d**2 - 4*d - 1. Let x(t) = t**3 - 8*t**2 + 7*t - 3. Let i be x(7). Let s be o(i). Let a(c) = -c. What is the units digit of a(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1, 32, 141, 362, 731?\n\"Answer: 6*u**3 + 2*u**2 - 15*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1\/3 + 0. Let h be 8\/10*20\/8. Suppose 2*q + h*q = -20, -y - 14 = 3*q. Which is bigger: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q**5\/4 - 847*q**4 - 109559*q**3\/4 - 213688*q**2 + 74304*q = 0. Calculate q.\nAnswer: -16, 0, 1\/3, 1161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/(-2) - -2)*14. Suppose c = -v - 5*l + 18, -5*v = -5*l. Let h = v + 6. Is h bigger than 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 3*h + h. Let x(y) = -6*y + h*y - y**2 + 21 + 9 - 3. What is the tens digit of x(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3.1 + -3.1062. What is z rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m = -3*x - m - 18, 5*x + 17 = -4*m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11010000 - -1001?\nAnswer: -11000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 214*i - 1705 = -127*i. Let r be 7\/(-4) + (-2)\/8. What is the closest to 1\/4 in -0.5, i, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/4*-1*45924\/129*224\/224?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(140)\/(2*sqrt(5)) - sqrt(84)\/sqrt(12)))\/(-5*(sqrt(144) - sqrt(36))*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -8*k**5 + 308*k**4 + 804*k**3 + 652*k**2 + 164*k = 0.\nAnswer: -1, -1\/2, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**2 + 3*i + 19. Suppose -3 + 3 = -x. Is h(x) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 152778948*x**3 - 41933718*x wrt x.\nAnswer: 916673688*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 111001110000001110 (base 2) in base 16?\nAnswer: 39c0e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyygyg. Give prob of sequence yg.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4876*i**2 + 4876*i**2 - 2*i**3 - i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 - (-37 + (16 - 43))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24*-2*(-7)\/7056*-21.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 33971 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -4  (b) 1.8  (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - y = -18, 3*p + 0*y = 2*y + 3. Suppose 2*w + 2*g - 7*g - 1595 = 0, -2*g - 2398 = -p*w. Suppose i + 7*i - w = 0. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence esse when four letters picked without replacement from hjwesjhsejwww?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**3 + 8*r**2 + 11*r + 7. Let v(c) = -c**3 - 9*c**2 - 12*c - 8. Let z(m) = 3*v(m) + 4*w(m). Suppose z(i) = 0. Calculate i.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -133\/12078 and -73\/170434?\nAnswer: 1533906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the first derivative of -p**4\/2 + 4*p**3\/3 + 156*p + 69. Find the first derivative of n(x) wrt x.\nAnswer: -6*x**2 + 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 5*f + 52 = 147, -4*c + 3*f = -78. Suppose p - 249 = -60. Calculate the highest common factor of c and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2176 divided by -64.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 19, 2\/3, 2\/13, -10?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 25144 + -50353\/2. Calculate the common denominator of 53\/74 and i.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 21 = -7*r. Let n be (0\/(1 - 0))\/(-1). Suppose 0 = 4*o - n*o - 80. Calculate the remainder when o is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o + 4*o - 128. Suppose 0 = x - 5 - o. Suppose -x - 14 = -5*s. Calculate the remainder when 33 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -41 - -29. Let w = z + 15. Suppose 168 = 4*v - c, 3*c + 109 = w*v - 8. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + s = 24, -18*s + 14*s = -4*m. Which is the smallest value?  (a) m  (b) 0.02  (c) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 13 - 7 = 0. Suppose 0 = 5*y - 3*o - 255, -i*y + 2*y = 2*o - 172. Suppose j = 1 + 13. Calculate the remainder when y is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 95*o = -145 + 525. Let c(l) = 2*l**3 - 10*l**2 + 2*l - 2. Calculate c(o).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 15*r + 11. Let x(t) = -t - t - 5*t + 3 - 8. Let j(n) = -6*q(n) - 13*x(n). Calculate j(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from wwfwfcwwfwwffffwwv.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 180.4045mg?\nAnswer: 0.0000001804045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -50 + 56. Let r(n) = -3*n - 4. Let i(c) = -4*c - 5. Let b(q) = d*r(q) - 5*i(q). Let j(z) = -z. What is b(g) + 4*j(g)?\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -2*t - 3. Let b be c(-4). Suppose -b*q - 4 = -14. Let u(v) = -300*v - 1194. Let i be u(-4). Solve 4*f + i = -q*l, -5*l + 5*f - 7 = -52 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-1*-2*sqrt(152))\/(sqrt(40)\/(-2*sqrt(5)*4)).\nAnswer: -80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((29376\/(-578))\/(-24))\/3?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the first derivative of -2*x + 5\/3*x**3 + 3\/2*x**2 + 3. Find h such that m(h) = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (3 + (-4 + (sqrt(2816) + sqrt(2816) + -1 - sqrt(2816)))**2 - (-4 + sqrt(2816)*-2 - (sqrt(2816) - ((sqrt(2816) - (sqrt(2816) + 1)) + 5))**2)).\nAnswer: -256*sqrt(11) + 5682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-3\/7)\/r**(-7))\/(r**(-3\/2)\/r**(-3))*(r**6*r\/(r*r**4))\/(r**7\/(r\/(r*r*r*r*r*(r\/(r*r\/(r**(-1\/2)*r)))\/r))) assuming r is positive.\nAnswer: r**(-17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:14 PM and 2:43 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/9822 and 17\/1199921.\nAnswer: 7199526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**3 - 8*g**2 + 20*g - 37. Calculate y(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 140257 divided by -4?\nAnswer: -140257\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**3 + 8*r**2 - 22*r - 15. Determine p(6).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -2, -2*d + 4*d = 3*j + 20. Suppose d - 48 = -o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -10*c**3 + 3*c**2 + 4*c + 247. Let j(t) = -18*t**3 + 7*t**2 + 10*t + 495. Let d(f) = -2*j(f) + 5*u(f). What is the derivative of d(y) wrt y?\nAnswer: -42*y**2 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 + -2)*(-1)\/(-2). Let g be j\/(-2 - -3) + 15. Suppose 4 = -5*u + g. What is the least common multiple of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 42\/12*-2*(-36)\/42. What is the second biggest value in 2\/5, i, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**3 + 9*z**2 - 4*z - 10. What is the remainder when 26\/(-2)*(6 - 11) is divided by t(8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 - -5. Let m = -1171\/71 - 1\/142. Let j = 16 + m. Which is bigger: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 8*c**2 - 4*c - 2. Let t be y(1). Suppose -102*r - t = -100*r. Sort 18, r, -4 in ascending order.\nAnswer: -4, r, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -175098*c**3 + 2*c**2 + 1966*c - 2?\nAnswer: -1050588*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 - 5\/((-20)\/48). Suppose -p = -2*o - o. Suppose -10*j - 35 = -o*j. Which is greater: -8 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6690 divided by 6.\nAnswer: -1115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + (-17 - -5) - (1 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 368836 by -28372.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 76053.\nAnswer: 3, 101, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the first derivative of o**7\/294 - o**6\/35 + 2*o**5\/35 + 4*o**4\/21 - 31*o**3\/3 + 40. Let h(u) be the third derivative of z(u). Factor h(b).\nAnswer: 4*(b - 2)**2*(5*b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 78*h - 50 - 28. Let u be 2\/(-10) - (-18)\/(-10). What is the closest to u in 1\/3, h, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(5 + (sqrt(1008) - (sqrt(1008) + sqrt(1008) + sqrt(1008) + 0))*4) + 1)*1.\nAnswer: -29 + 576*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1227880?\nAnswer: 2, 5, 30697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -426 + 429. Let i(y) be the first derivative of -2*y - 1\/3*y**a + 0*y**2 + 7. Differentiate i(q) with respect to q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 130 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.7 * 5.\nAnswer: 8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z - 7. Let y be q(-3). Let m(r) = r**2 + r - 6. What is the least common multiple of m(y) and 64\/6 - (-11)\/33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8294670 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeeeeeeeeeeeeeaaeaae. Give prob of sequence eeea.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 262797 and 2792.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3533 = -8*u + 3517 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -257 or -8247\/32?\nAnswer: -8247\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 30\/5*1\/(-2). Let f be (x + 0)\/(18\/24). Suppose 2*i = i - 1. Put i, f, -2 in decreasing order.\nAnswer: i, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4114 and 148563272?\nAnswer: 1634195992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 6*h**2 + 12*h - 40. Calculate n(-6).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-216)\/(-90396)*27)\/(1\/(-5))\nAnswer: -10\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 44084 to the power of 1\/2, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 3*x + 25. Let c be 0 + 4 - 5 - -1. Suppose c = -5*t - 20 - 25. Let z be l(t). Is z greater than or equal to -6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 10896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 342309 and 233772?\nAnswer: 9584652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16822707 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -115, -4, -5, -3, 609, -19 in descending order.\nAnswer: 609, -3, -4, -5, -19, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 113*q - 226. Let y = -15187 - -15189. Give p(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 6592, 13269, 19948, 26629, 33312, 39997, 46684?\n\"Answer: c**2 + 6674*c - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**2\/9 - 1330*b - 24012.\nAnswer: 2*(b - 6003)*(b + 18)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -7*p**2 + 5*p**2 - 4*p**2 - 3*p**2. Let f(h) = -3*h**2 + 12*h + 2. Let l be f(4). Let t(o) = o + l*o + 0*o - 6*o. What is v(t(r))?\nAnswer: -81*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.101774235 - -0.498225933. Let y = t + -0.6. What is y rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -10*y + 2*y - y. Let x = 24 + -22. Let w(i) = 4*i**2 - 3*i**x - 3*i**2. Calculate h(w(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 70185, 140343, 210503, 280665, 350829, 420995, 491163?\nAnswer: 561333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 10 - 9*f + 10*f - 11*f - 11. Let l(w) = w. Let u(n) = -17*n**2 - n - 2. Let d be u(-1). Suppose -2*i + 6 = -5*i. Determine d*l(h) + i*a(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1477.9 + -1478. Is -18 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 - 1 = 2*n. Suppose -9*l + 13*l = -112. Let g = n - l. What is the least common multiple of 6 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) 4  (c) 26\/3  (d) 2\/5  (e) 48\/5  (f) 0.5  (g) -14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 117077421?\nAnswer: 3, 31, 463, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*1*sqrt(612) + sqrt(612) - (sqrt(612) - (-1 + sqrt(612)))*5) + -4)*1*-2.\nAnswer: -84*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 13769 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 173514076?\nAnswer: 2, 29, 149, 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.02 - 0.38. Let d = x + 0.8. Which is the third biggest value?  (a) d  (b) -2  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**3 + 4*k**2 - 8*k - 29. Let s be o(-4). Factor 64*f**2 + 63*f**2 + 533*f + 4*f**s + 491*f + f**2.\nAnswer: 4*f*(f + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**3 + 2*x**2 + 10*x - 4. Let h be j(4). Suppose -g = 5*f - 310, 0*f + h*f - 4*g = 248. Let l = f - -2. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 477.3 to the nearest 10.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/120 and 157\/6804?\nAnswer: 68040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -281*i + 5758. Determine c(20).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 4*f**2. Let z be r(-1). Suppose z*w - 4 - 10 = 2*s, -4*w + 29 = -5*s. Which is the nearest to w?  (a) 2  (b) -2  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes after 8:02 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m - 2*m - m + (-3 + 2 + 2)*(m + 3*m - 6*m) + 3*m + 0*m - 2*m)*(-4*m**4 - m**4 + 7*m**4) + 2*m**5 + m**5 - 4*m**5.\nAnswer: -5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5590063 is divided by 3250.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15 (base 16) to base 7.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -317 < 0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - 3 - -57 - ((-141)\/(-15) - (-3696)\/(-1540)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32238197?\nAnswer: 32238197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 127016801 to the power of 1\/4, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -4 + 2 + 4 + k. Suppose -5*u + n = 7, 2*u + 48*n - 47*n = 0. Determine r(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/11  (b) 188.1  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 186 by 47149.\nAnswer: 186\/47149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 345*m**2 - 343*m**2 - 33 - 3*m + m**3 + 3*m to the form q*m**2 + r*m**3 + g + a*m and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 41 and 7?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20723 is divided by 2920.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - 6 - -1 - (2 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 + 163*a**2 + 149*a**2 - 4 to s*a**2 + p + l*a and give s.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 17034058 to the power of 1\/2, to the nearest integer?\nAnswer: 4127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (19\/570)\/(-15 - (-376)\/25)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1815)\/(-22)*18\/15. Suppose 0 = o*m - 104*m. Determine z so that 1\/2*z**5 - 1\/2*z**3 - 1\/2*z**2 + m*z + 0 + 1\/2*z**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 l when three letters picked without replacement from {d: 7, l: 3, y: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n**3 - 7*n**2 + 6*n - 8. Let o be r(-8). Suppose -22 - 66 = -o*u. What are the prime factors of u + -11 + 79*(-2)\/(-2)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o - 2*o = 20. Let i(t) = -6 + 3*t + 2 + o. Let n(k) = -k + 1. Let g(m) = i(m) + 6*n(m). What is g(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3127325101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28\/45 + 10\/135*-3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-29205)\/(-16225)*15*-1?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 349 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.244775 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, j: 14, u: 1}. What is prob of sequence jjvv?\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 185, 186, 187, 188?\n\"Answer: w + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 24251755699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k + 4*a + 8, -2*k + 6*a + 1 = a. Solve q = -2*q, 5*q + k = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3990 + 3989. Suppose 3*b = 4 + 17. Is 4 a factor of 3\/k + b - -20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 1179519.28?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*b + 19*b - b. Let g(l) = l**3 + 3*l**2 + 2*l + 7. Let p be g(b). Solve -6*j = -31 + p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rxrrxxrxxrrrxxxrrxx. What is prob of picking 2 r?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 4 - 3)*(2*u - 8*u - 4*u) + 339*u - 9 - 2 + 3 - 8 + 12 in the form l + c*u and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -5*c**5 - 2635*c**4 - 142595*c**3 + 1647995*c**2 - 2857640*c + 1354880 = 0.\nAnswer: -464, -73, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Multiply 522 and 0.2.\nAnswer: 104.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16923174.00049 - -16923090. Let i = b + 84. Round i to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i + 4*l - 32 = 3*i, -5*i = -5*l + 10. Suppose 2*c - 4*y + 1 = -i*c, 4*c - 3*y + 1 = 0. Is 20*((-6)\/10 - c) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u + 0*u + 0*u + 3*u)*(19*u + 8*u + 8*u).\nAnswer: 140*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19 + -14. Suppose 15 + l = -4*f. Let b(s) = 2*s**2 + 9*s + 3. What is the smallest common multiple of 2 and b(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.1, -34, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the first derivative of 4\/3*c**3 - 1\/4*c**4 + 2 + 5*c - c**2. What is f(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 2*t**3)*(-5029*t + 5696*t - 8781*t - 5214*t - 8591*t).\nAnswer: -43838*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2705)\/(-22) + (-3)\/(-3). Suppose 3*x - 5*f + 352 = 0, -x + f - 244 = x. Let a = p + x. Is 1 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -69\/6308 and 1\/3486.\nAnswer: 132468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 14*k**2 - 14*k - 16. Let d(h) = -30*h**2 + 29*h + 33. Let o(j) = 4*d(j) + 9*v(j). Let a(n) = -2*n**2 + 3*n + 4. Calculate 7*a(q) + 2*o(q).\nAnswer: -2*q**2 + q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 122 - 14 = 3*g, 2*g - 3*x = -89. Let q be (g\/4 - 4)\/(1\/4). Let f = q + 149. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 3*o - 69, o = 2*i - 0*o + 28. Let b be 10\/4*24\/i. What is the biggest value in 1, -1\/7, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 57\/2 of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 8466 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:09 AM and 10:15 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 20 and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -5 - ((-12)\/(-78) + 18140\/52). Let k = r - -390. Calculate the highest common factor of 81 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -788*u + 30*u**2 + 1568*u + 15 - 781*u. Let l(d) = 30*d**2 - d + 14. Let n(o) = 6*b(o) - 5*l(o). What is the second derivative of n(m) wrt m?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -147.39 + 148. Let n = 0.05 + 0.295. Let h = n - k. Round h to two dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2107.0795 rounded to the nearest ten?\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**2 + 5*v + 9. Determine d(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 20, -4, -2, 0.04, 0.297, -22?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (42\/(-4))\/((-3)\/12). Let k be 4\/5*15\/w. Let n = 0.04 + -2.04. Which is the third biggest value?  (a) k  (b) -4  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -215\/42 + 30\/7. Which is the fifth biggest value?  (a) 0.2  (b) v  (c) -4  (d) 8  (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the second derivative of 3909*b**5\/20 - 2098*b**4\/3 - 4521*b. Find the third derivative of q(p) wrt p.\nAnswer: 23454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:21 PM and 12:02 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9*d**2*o - 33355*d**2 - 19*d*o + 4453*o - 75 wrt o?\nAnswer: 9*d**2 - 19*d + 4453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * 48.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2299864 is divided by 689.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0.26481166 * 3\nAnswer: 0.79443498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 242\/5 + (-4)\/10. Suppose 4*b = -3*l - 129, -l + 0 = -1. Let d = b + p. Solve 7*q = 4*q - d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2664 and 94552020?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 458*i - 8265. Let v be l(18). Let r(o) = -o**3 - 20*o**2 + 19*o - 41. Calculate r(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -71*f - 184 - 68 = -39 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 9*o**2 + 31*o + 17. Let a be v(-3). Let y(z) = -z**2 + z - 1. Let w(t) = 13*t**3 - 5*t**2 + 5*t - 5. What is a*y(l) - w(l)?\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, -1\/3, -742176?\nAnswer: -742176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3 and 31907.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let i be (3\/(-6))\/((-2)\/(-4)). Let s = 629 - 663.9. Let q = -35 - s. What is the closest to i in q, 1\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 411.28 + -405. Let w = 3.28 - z. Put w, 2\/19, 59 in ascending order.\nAnswer: w, 2\/19, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -44194, -88388, -132582, -176776?\nAnswer: -220970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -76*v**2 + 3*v - 36. Let c(n) = -12*n - 87. Let u be c(-7). Let j(f) = -76*f**2 + 2*f - 35. Let h(y) = u*j(y) + 2*r(y). Differentiate h(x) wrt x.\nAnswer: 152*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22429965 divided by -105305\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-4 + 5 + -3*sqrt(7)).\nAnswer: -4 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 4*b**4 + b**3 - 47*b**2 - 3. Let g(m) = 3*m**4 - m**3 - 48*m**2 - 2. Let i(c) = -2*a(c) + 3*g(c). Find l such that i(l) = 0.\nAnswer: -5, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m = -3*n - 2, 5*n + 2*m + 2*m - 26 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9*s**2*u**4 + s**2*u - 19*s*u**5 - 76*s*u**2 wrt u?\nAnswer: -216*s**2*u - 1140*s*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k + 2*k - 86 = -2*m, -3*m + 2*k + 121 = 0. Let o(d) = -15 - 8*d + 35 + 30. What is the lowest common multiple of o(5) and m?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -50 + 1249*r**2 + 50 - 309*r**2 + (-r + 1 - 1)*(2*r - 5 + 5).\nAnswer: 938*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1836 + 924 = -230*f for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 2*g - 24 = 5, -m = -3*g - 19. Let o(h) = h. Let v be o(m). Solve -4*i = -5 - v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -78 - -82. Suppose 4*n = -z*g - 16, -9*g + 13*g = -16. Solve -2*m - 10 = -n*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 46999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.02?  (a) 6  (b) 0.4  (c) -1\/228  (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 147240540 divided by -69948?\nAnswer: -2105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 68250*n. Let z be (-15)\/(-5) + 0 + 1. Let i be p(z). What is i rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7011011999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 13 = -2*k, -17 = -2*k + 5*c + 2. Suppose b + k*f = -4, 3*b = 4*f - f + 6. What are the prime factors of (0 - -12) + (b - -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(80) - sqrt(80)*-1) + -4)**2 + (1*sqrt(25)\/sqrt(5) - (0 + sqrt(605)))**2 + 1.\nAnswer: -384*sqrt(5) + 2517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2 + 4*r. Let w be d(0). Let l(v) be the second derivative of 1\/20*v**5 + w - 5\/12*v**4 + 1\/2*v**3 - v**2 + 3*v. Calculate l(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -4  (b) 1\/4  (c) 6  (d) 0.5  (e) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -666 + 669. Solve 2*w + m*p + 3 = 6, -w + 3 = 3*p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 269 is divided by 91.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*o + 4*o - 36. Let c(m) = -43*m**2 + o*m**3 + 50*m**2 - 4*m**3 + 11*m**3. Let h(r) = 5*r**3 + 2*r**2. Give 2*c(j) - 7*h(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/500 and -83\/850.\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (246\/(-90) - -3)\/(1\/3).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 44 + -2. Suppose -362 = -3*v + 4*t, 106*v + 481 = 110*v - 5*t. Calculate the least common multiple of v and l.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.5?  (a) 0  (b) -7502  (c) 0.06  (d) -2.7  (e) -3  (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 28216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -737929*w**5 - 3*w**3 + 2*w**2 - 19*w - 38187?\nAnswer: -14758580*w**3 - 18*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*o**2 + 5 - 22*o**2 + 17*o**2 + 29*o**2.\nAnswer: 42*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 129 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -467000414 by 1297.\nAnswer: -360062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1445.568284509 from -6.7.\nAnswer: -1452.268284509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 242 + 240 + 242 + 243 + 87*g**3 - 970.\nAnswer: 87*g**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -218 by -1.\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 5, 1\/5, -630, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -785, -1565, -2345, -3125?\n\"Answer: -780*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9 or -97\/10?\nAnswer: -97\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 347403*d**2 - 2 + 2 - 358182*d**2 + (-2 + 2 - 1)*(0 - d**2 + 0).\nAnswer: -10778*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 32.97 times -0.004?\nAnswer: -0.13188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 14 + 18 - 26*k + 29 - 7. What is the hundreds digit of f(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -69, -78, -87, -96?\n\"Answer: -9*l - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -6966590, -13933181, -20899772, -27866363, -34832954, -41799545?\n\"Answer: -6966591*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 66451 and 131500488.\nAnswer: 1446505368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 38954, 77899, 116844?\nAnswer: 155789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (-5 + -3) - (-29 - -40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**(-19))**(3\/11)\/(t*t*t*t**24*t*t**(1\/9)))**15 assuming t is positive.\nAnswer: t**(-11215\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - (4 - (8 + -1))) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2728722 is divided by 9505?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9.7 + 7. Let o = 1.731 + -0.031. Let h = o + j. Which is the closest to 0?  (a) 5  (b) 0.2  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 3da67 - 6?\nAnswer: 3da61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 25 + -14. Let z(s) = -s**2 + 10*s + 13. Let d be z(x). Let p(n) = n + d*n**2 + n**2 - n**2 - n**2 + 3. What is p(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes after 2:38 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 572079425?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 608 + -430. What is the closest to 0 in z, 3\/5, 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1624675612?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-9)\/15*4\/3. Let n be (8\/12)\/((-3)\/2). Let p = 0.01207 - -0.48793. What is the third smallest value in p, n, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 - -4. Suppose 295 = f*h - 6*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/(1\/2*-3). Let z(m) = -2*m + 18. Let i be z(9). Suppose -3*y + w*y - 28 = i. Calculate the remainder when 81 is divided by y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 63 + 18 = 0. Suppose 4*d = j - 7 - 11, -4*j - 3*d + l = 0. Solve -s - 4*o + j = 0, -4 + 0 = -s - 2*o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1900, 1902, 1906, 1912, 1920, 1930, 1942?\nAnswer: 1956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a microgram in nanograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-18)\/(-4) - 2\/4. Calculate the greatest common divisor of x and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*z - 11*z**2 - 2*z**3 + 4*z**3 - 4 + 13*z**2 in the form h*z**2 + x*z + p + s*z**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**3 - 16*a**2 - 40*a - 21. Let t be y(18). Let s = t + 93. Find r such that -1\/2*r**4 - 1\/2*r**3 + 0*r + s + r**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-15)\/(-30))\/((6\/(-4))\/(-1))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 489426503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tttttqbtbtttqqqqbqh. What is prob of sequence bb?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**3 - 9*j**2 - 6*j + 8. Let v(a) = a**3 - 10*a**2 - 7*a + 9. Let y(z) = -7*k(z) + 6*v(z). Determine y(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 386213869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/((-194)\/16 + 101\/808)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41458608 to the power of 1\/2, to the nearest integer?\nAnswer: 6439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dpaffrfafafj. What is prob of sequence ar?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put together 3 and -362.5455541.\nAnswer: -359.5455541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.05885 - -635.65885. Round f to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*t**2 - 21*t**2 - 23*t**2 - 26*t**2 + 119*t**2 - 26*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16 - -7. Let t = -4 - b. Suppose k + 2 = t. Solve k*j - f = 11 + 5, 12 = j - 2*f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.023 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 27880 by 5.\nAnswer: 5576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 5179279 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 6*v - 3*v = -35, -36 = -4*z + 4*v. Suppose -x = 3*w - 3*x - 58, 0 = z*x + 8. Suppose 0*j = -2*j + w. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1391575.\nAnswer: 5, 55663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (0 + -3 + (sqrt(684)*-1 + sqrt(684))**2 - (2 + sqrt(1216)*-2 - (-2*sqrt(1216) + 5))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4176592, -4176574, -4176538, -4176478, -4176388, -4176262?\nAnswer: -4176094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13\/2*n**2 - 15\/4*n**3 + 0 + 2*n + 7\/4*n**5 - 13\/2*n**4 = 0 for n.\nAnswer: -1, -2\/7, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 88 is divided by (0 - -2) + 56\/(-3 + 5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/(n\/((n*n*n**(6\/13))\/n)))\/(n\/(n*n**(24\/7))*n))**(-3))**(-3\/4) assuming n is positive.\nAnswer: n**(1593\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, 1\/4, -5, 1\/3 in ascending order.\nAnswer: -16, -5, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s + 7. What is the units digit of f(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 2*c**2 + 8*c - 5. Let p be n(-5). Suppose h + k = 0, -p*h + 40 = -0*h - 5*k. Let g(t) = -t**3 + 5*t**2 - 6*t + 2. What is g(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 80*a - 184*a**4 + 91*a - 13*a + 2 + 10*a - 3*a**2 - 2*a**3 wrt a.\nAnswer: -2208*a**2 - 12*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, z: 2, u: 1, v: 3}. Give prob of sequence zwvu.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 9796756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (91 - 93 - (9 + 0))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 887, 0.3, 5 in increasing order.\nAnswer: 0.3, 5, 887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) -1  (b) 23  (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 481 - 257. Calculate the remainder when n is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -51238, -205170, -461786, -821086, -1283070, -1847738, -2515090?\nAnswer: -3285126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 505 - 557 - 4074\/(-77)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(1\/12))**(-13\/4)*(m**16)**(-2\/11))**8 assuming m is positive.\nAnswer: m**(-3395\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z + 67 - 5*z - 40. Let f be r(4). Solve 10*u = 13*u + f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -553827, -1107706, -1661585, -2215464, -2769343?\n\"Answer: -553879*c + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o + 5. Let m be 21\/(-7)*(1 + -2). Let n(c) = m + 7 - 3*c + 2*c - 6. Let f(x) = 2*x + 7. Let g be f(-6). What is g*s(p) + 6*n(p)?\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the first derivative of -2*l**6 - 432*l**5\/5 + 441*l**4\/4 - 37*l**3 + 666. Factor x(t).\nAnswer: -3*t**2*(t + 37)*(2*t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1405198423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -235619.01 rounded to the nearest 100?\nAnswer: -235600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -86*d**2*g - d*g - 26*d - 15545*g - 8 wrt d?\nAnswer: -172*d*g - g - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (-3 + sqrt(468) + -3 - sqrt(468)))**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b + 2*b - 16. Factor -33*j**3 + 12*j**b - 7*j + 15*j**2 - 3*j - 7*j + 23*j.\nAnswer: 3*j*(j - 2)*(j - 1)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 186362 and 23650.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.9  (b) 10  (c) -504197\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -2*s + 6. Let y be w(-4). Suppose 4*l - 3*v + 10 = 0, -v = 2*l + l + y. Which is the second biggest value?  (a) l  (b) 1\/6  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (-7 + (0 - -3) - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the third derivative of v**9\/90720 + v**8\/7560 - v**7\/2520 - v**6\/60 - 5*v**5\/2 + 219*v**2. Let i(j) be the third derivative of q(j). Factor i(r).\nAnswer: 2*(r - 2)*(r + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3520 = 95*i - 55*i. Calculate the highest common factor of 1100 and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -34 + 279. List the prime factors of s.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-9 - -4 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 4*m + 6 = 0, -2*f - 12 = -6*f - m. Let y be ((-1)\/f)\/(-1) - (-180)\/27. Solve -6*z + 23 = -y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 38149 - 37417. What is the remainder when 2943 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 358*a**4 - 357*a**4 + 4 - a**2 + 1163*a**3 - 1230*a**3 - a to x*a**4 + v*a + j + m*a**3 + t*a**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -12306?\nAnswer: 2\/6153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5.24 - 1.28. Let v = k + -4. Let x = 0.14 + v. What is the second smallest value in x, -0.3, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 287779, 575554, 863327, 1151098, 1438867, 1726634, 2014399?\nAnswer: 2302162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 3906, 6361, 8816, 11271?\n\"Answer: 2455*x + 1451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3175350*39\/(-39))\/(6\/40). Round x to the nearest one hundred thousand.\nAnswer: -21200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 7*y**3 - 251*y**2 + 13*y - 12. Does 9 divide q(36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 + 0 - 4)*(147 - 5*p - 72 - 77).\nAnswer: 65*p + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -186 = 5*g - 681. What is the common denominator of 42\/5 and -4 - (-1 - -4 - 783\/g)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(15)\/sqrt(3)*-4 - ((sqrt(500) - (sqrt(500) + -4)) + sqrt(500)).\nAnswer: -14*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23*x**2 + 20*x**2 - 27*x**2)*(-3 + 3 + x**2).\nAnswer: -30*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -2*k + 1188 - k + 5*k - 1163. Let c be g(-5). Suppose 12*t = -c + 39. Solve -t*h = 6, 4*q - q - h = 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 75 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 13 + -37. Let u be o\/11 + 5 + -3. Let w = 127862 + -127863. What is the closest to w in 2, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:06 AM and 2:54 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, s: 5, p: 1, k: 3, o: 8, w: 1}. What is prob of sequence si?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -10 and -1592742?\nAnswer: 15927420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(567) + (sqrt(567) - (sqrt(567) + -1 - sqrt(567)))*-3)**2.\nAnswer: -11385 - 540*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3.17 - 3.57. What is the nearest to 0 in 5, 26, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5706.1892+-28835\nAnswer: -34541.1892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 5*a - 67. Let c(h) = h**3 - 7*h**2 + h - 4. Let f be c(7). Solve -2*v - f*l = -4*l - a, v = 2*l + 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - (-5 + 7)) + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r**3 - 5*r**3 + 4*r**3)*(2*r**2 + 2*r**2 + r**2) - 15*r**5 - 47*r**5 + 10*r**5 + (-r + 0*r + 0*r)*(-2*r**3 + 2*r**3 - 2*r**4).\nAnswer: -40*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 2)*(0*o + 0*o + 3 - o**2).\nAnswer: o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = 4*q + 9. Let s(x) = -x**3 + 6*x**2 - 5*x + 7. Let z be s(q). Let g = z - -53. Does 15 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -y**4 + 155*y**3 - 5033*y**2 + 9001*y + 14190 = 0.\nAnswer: -1, 3, 43, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-14))\/((-20)\/(-210)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -13440 divided by 105?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4843, 4841, 4839, 4837?\nAnswer: 4835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**3 + 3*p**2 - 6*p + 10. Let w be s(7). Let x = w + 521. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 3*g**3 + 733449*g**2 + 44819783448*g - 1120953038700 = 0.\nAnswer: -122254, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1054.\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 719115 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 10\/(-20)*-3*2\/(-21)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s. Let g(l) = -4*l**2 - 5. What is g(o(m))?\nAnswer: -4*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -6*(-42)\/36*2\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*f + 8 = 6*f - 3*i, 4*i - 1 = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 77\/20 and 53\/9201558.\nAnswer: 92015580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 15, 11, 5, -3, -13?\n\"Answer: -t**2 - t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 2*g + 1269 = -6*q, 3*g - 1259 = 5*q. Let y = q + 255. Let p be (-6)\/(-4)*4\/10. Which is the third smallest value?  (a) y  (b) p  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 23.652 - 0.052. Let s = -23.7 + t. Which is the closest to s?  (a) 4  (b) -1\/11  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 1222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 590 and 47200?\nAnswer: 47200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 7818138 divided by -28022\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**2 + 9*l + 6. Determine v(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -3791 * 2\nAnswer: -7582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -228*f + 4 = -224*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -401668*q - 625200 wrt q.\nAnswer: -401668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*b**4 + 560*b**2 + 722*b.\nAnswer: 24*b**2 + 1120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -34 - -40. Suppose -7*v - 3 = -w*v. Let p(u) = -u**3 - 5*u**2 + 2*u + 6. Let s be p(-5). Is v bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 113*c - 26890. Give v(238).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -5*d + 429. What is x(-30)?\nAnswer: 579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8936.119ng to kilograms.\nAnswer: 0.000000008936119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*u**2 + u + 2*u + 4*u**2 + 10*u**3 + 4*u**2 in the form r + c*u**2 + z*u + g*u**3 and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*j**4 - 767720*j**3 - 1791290*j**2 - 1279480*j - 255895 = 0.\nAnswer: -51179, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*v - 5*c, -3*v = c - 3*c - 14. Suppose 9*k - v*k - 120 = 0. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2601370892 to the nearest integer?\nAnswer: 51004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (30\/40)\/((-1)\/(-24)) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 5\/4, 77, -7?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/4, -6, 3, 52 in decreasing order.\nAnswer: 52, 3, 1\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 236 divide 2075310604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 47346\/21112 - 2 - (-28)\/(-784)\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 70?  (a) -5  (b) 5  (c) 0.49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 3, s: 8}. What is prob of sequence ssss?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3252381966?\nAnswer: 2, 3, 180687887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 0.4, 802\/5, 2, 1\/4 in decreasing order.\nAnswer: 802\/5, 7, 2, 0.4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1812, -1815, -1818?\nAnswer: -1821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 63*g**2 + 101*g - 2. Let l(c) = -3*c**2 - 6*c. Let h(k) = 34*l(k) + 2*t(k). Let j(f) = -23*f**2 + f + 3. Determine 2*h(o) + 3*j(o).\nAnswer: -21*o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/63, -431, 5, -3\/5 in decreasing order.\nAnswer: 5, -2\/63, -3\/5, -431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -70.56 and 0.1.\nAnswer: -7.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbkbvvvgvvb. What is prob of picking 2 v and 1 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((6\/22)\/(3\/2))\/2.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 339 by 3.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/70 and -53\/714.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 4*t - 5*h - 16, 3*h - 21 = -3*t. Let n be (5 + 2)\/(0 - -1). Which is smaller: n or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 294532 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 92193611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 4*168.18\nAnswer: 672.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -38, -1.08, -173, -1\/7?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g + 2. Let f be i(-5). What is the units digit of f + (4 + -31)*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*b + 0*b = -520. Find the common denominator of -53\/7 and (10\/b)\/(5\/202).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**2 + 9*l + 12. Let c be j(10). Suppose 5*z + 6 = -5*m + m, 8 = c*z - m. Factor 0*h**2 + 0*h**z + 9*h - 2*h**4 - 6*h**3 - h.\nAnswer: -2*h*(h - 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.2 - -0.1. Let o = 0.1 + r. Which is the nearest to o?  (a) -0.1  (b) -1  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of c**3*q**3 - 1293*c**3*q**2 + 4*c**2*q**3 + 3*c**2*q**2 + 1055*c*q**3 wrt q?\nAnswer: 6*c**3 + 24*c**2 + 6330*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -205, 4, 629, 1880, 3967, 7100, 11489, 17344?\n\"Answer: 35*l**3 - 2*l**2 - 30*l - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-10 + 20)*(-2)\/(-4). Suppose -3*q + 519 = -4*z - 946, -b*q + z + 2436 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-167)\/(-15) - (-16)\/(-120). Let l be 0*(-4)\/(q - 3). Let x be (-2 - l) + (5 - 0). What is the greatest common factor of x and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2250\/11625*(-4)\/12*2\/2?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/3*(2646\/28)\/63?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 m, and 2 n when four letters picked without replacement from ngalfnnlmnnnnn.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 341*m + 7178. Determine a(-21).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -5  (b) 4  (c) 2  (d) 1  (e) -0.1  (f) 942\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and -3.5.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 41 - 45. Let m(k) = 2*k**2 + 31*k + 23. Let p(x) = 1. Let q(s) = y*p(s) + m(s). Let a be q(-15). Which is smaller: a or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73.70913 kilometers in centimeters?\nAnswer: 7370913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {o: 1, y: 14}?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -320*k*r**4 - 50*k - r - 1 wrt r?\nAnswer: -3840*k*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 30286822 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -15.29433886 rounded to zero dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.06 + 9.24. What is q rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1899584*o**2 + 135*o + 26*o**3 - 1899583*o**2 + 11*o**3 in the form u + f*o**2 + q*o**3 + b*o and give b.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 374141.3g in milligrams?\nAnswer: 374141300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 5279, 41840, 140851, 333536, 651119?\n\"Answer: 5204*y**3 + y**2 + 130*y - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.9403 + -1.0597. Which is the nearest to 0.1?  (a) -3  (b) 139\/2  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1\/7  (b) 0.03  (c) 30  (d) -0.181\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 7754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*n**4 + 4*n**4 - 5*n**4 + (n**2 + 0*n + 0*n)*(-4*n**2 + 6*n**2 + 7*n**2) to z + j*n + m*n**4 + o*n**3 + y*n**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3018 - -3022. Solve -i*b + 21 = 13 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -y + 4*y - 3*y - 8*y + 3*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -69*j + 14. Let t(l) = -7. Let a(y) = -q(y) - 2*t(y). Let b(o) = 17*o**2. Give b(a(n)).\nAnswer: 80937*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + z + 2*z + 36 = 0, 5*z = -4*j + 50. Solve 0 = -4*x - 7 + j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*r**3 + 7*r**2 - 7*r**2 + 5 + 2*r**4 + 3*r**2 - 6*r in the form l*r + f*r**2 + a*r**4 + w*r**3 + o and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -140*m**5 + 11*m + 81426*m**3 - 2 - 81426*m**3 wrt m?\nAnswer: -2800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -20 + 30. Let u be m + -6 + -1 + 2. Solve 0 = -s + 3*p - 13, 4*s + u*p = 12 + 21 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.85 - 11.55. Let q = -14.7 - t. Which is the nearest to 7?  (a) q  (b) 5  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1397 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 245, 257, 273, 293, 317?\nAnswer: 345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -460 + (-1 - 8\/4). Let f = 1057 - j. What is f rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes before 3:46 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2.63 from 0.031.\nAnswer: -2.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o - 57. Let x be m(16). Let f = 50 + x. What is the remainder when 22 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 549 or 1.3041?\nAnswer: 549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 176 - 173. Sort -5, -7, m in descending order.\nAnswer: m, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12 + -8. Let v = -73 - -75. Suppose -4*t - 2346 = -v*r, -k*r = 5*t + 1417 - 6044. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-18)\/(-4 - -1) - 2. Let s(o) = -o + 0*o - 3 + y. Let l be s(-2). Solve -2*a - l*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 4*o. Let n(z) = -4*z + 6. Let h(c) = 3*c - 5. Let a(p) = -6*h(p) - 5*n(p). Let k = 38 + -25. What is k*a(i) - 6*j(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -12  (b) 19  (c) 4\/9  (d) -4\/5  (e) 448\/17  (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10 and 9614000?\nAnswer: 9614000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 3\/63 - (-73 - (-10905)\/126)\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8719, -17433, -26149, -34867, -43587, -52309, -61033?\nAnswer: -69759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**5\/9 + 4744*u**4\/9 - 1582*u**3\/3.\nAnswer: 2*u**3*(u - 1)*(u + 2373)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -3*y**3 + 4*y**2 + 5*y - 2. Let u be i(4). Let r = 165 + u. List the prime factors of r.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:12 AM and 11:48 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 - 3. Let q be 0 + o + 2\/1. Solve -3*t + q = -h, 2*t - 2*h = -h + 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -18231542*n**4 - 6396759*n**2?\nAnswer: -437557008*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuin when four letters picked without replacement from {u: 3, n: 3, i: 4, f: 4, p: 3}?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19*m**2 + m - 5*m**2 + 3*m**2)*(2 + 2 - 3)*(-3*m + 5*m - 4*m).\nAnswer: 42*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the second derivative of 0 - 9*f - 7\/2*f**2 - 1\/2*f**4 + 0*f**3. What is the derivative of q(a) wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b - 8 = -7*b. Suppose -4*z + b = -2*z. Solve z*f = -3*t + 2*t - 7, -4*f = -4*t + 32 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 2615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 49343.67 millennia to months.\nAnswer: 592124040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2.51?  (a) 0.1  (b) 1.2  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the third derivative of -c**6\/120 + 3*c**5\/20 - c**4\/3 - 5*c**3\/3 - 35*c**2. Let w be n(8). Does 26 divide ((-52)\/w)\/(204\/40 + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 108 is divided by 92.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1668373?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -123\/2156 and (-4*(-6)\/(-168))\/(3920\/(-3948))?\nAnswer: 10780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, n: 1}. Give prob of picking 1 r and 1 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((1\/(-3))\/(28\/189))\/(219\/8468)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes after 7:12 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/4*(0 - (-8)\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 21\/36104 and -47\/365432?\nAnswer: 1649194616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:08 AM and 8:45 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-3969)\/(-783) - (18 - 13)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6780, 6779, 6778, 6777, 6776, 6775?\nAnswer: 6774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wyzwywwqoo. What is prob of sequence zq?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/3717 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -146505 + 115436?\nAnswer: -31036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y + 129 - 944. Suppose 7*n - 5 - y = 0. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 6, 44, 84, 126, 170, 216, 264?\n\"Answer: o**2 + 35*o - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -245408*j - 1472436. Give y(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 136 + 0.35540999.\nAnswer: 136.35540999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*s**5 - 9*s**2 + 80*s.\nAnswer: -40*s**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -180 = -16*y + 10*y. Let d(w) = -2*w**2 - 6 + 34*w - 5*w**2 + 5*w**2 + y. What is the remainder when d(17) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.9 - -3. Let q = g - 3.9. Which is the smallest value?  (a) q  (b) 5  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 39.033 + -0.033. Let y = r + -38.27. Round y to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the first derivative of 18*o**2 + 34. Let c(g) = g. Determine c(t(s)).\nAnswer: 36*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -193, -161, -99, -1, 139?\n\"Answer: b**3 + 9*b**2 - 2*b - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.7 + 1.7. Let i = 0.54 - -0.468. Let u = i - z. Round u to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 7294\/70 - 2\/10. Suppose -y = k - 5*k. What is the highest common factor of 182 and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 439261460.\nAnswer: 2, 5, 11, 181513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -96 + 9 = -3*p. Let j = 313 + -214. What is the remainder when 1278\/(-4)*(-44)\/j is divided by p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 + -6*-1*(-4)\/12. Suppose -42*y + 27*y + 4740 = k. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in five fourteenths of a week?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2415 + 4185672\nAnswer: 4183257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 13747495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -29 + 3. Let p = h + 24. Is 10 a factor of (42\/9)\/(p\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2639517 >= 2639518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 48?  (a) 0.1  (b) 0.5  (c) 5  (d) 0.13  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 64 + 3*w**2 - 10 + 27.\nAnswer: 3*w**2 + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:35 PM and 8:17 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/4028 or 0.1?\nAnswer: -1\/4028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 6, x = 3*p + 31013 + 26884. Let g = 231731\/12 + p. Let f = 205375 + -28341875\/138. Find the common denominator of g and f.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33 and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 176 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-3 + 3 + sqrt(7) + 2).\nAnswer: 8 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -13. Let l(v) = 8. Let p(i) = 9*i + 40. Let s be p(-5). Let y(r) = s*t(r) - 8*l(r). Let k(c) = -c - 6. Give 2*k(o) + 11*y(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -717, -1431, -2145, -2859, -3573, -4287?\nAnswer: -5001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.312806091 to one dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and -68?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2502, -112, -4, -7 in descending order.\nAnswer: -4, -7, -112, -2502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 723601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -62 + 62.3. Which is the closest to -1?  (a) 1  (b) p  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -661 + 937. Suppose -2*f - x = -1504. Suppose -a = -n - 115, -5*a = 4*n + 57 - f. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27 is divided by 25.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p**3 - 12*p**2 - 4*p + 48 = 0. Calculate p.\nAnswer: -2, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9306\/7 - 1327. Let k = -99\/35 + i. What is the nearest to -3 in k, -0.2, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -242 + 734\/3. Let f(v) = v**3 - 10*v**2 + 3. Let w be f(10). Find the common denominator of p and (71\/(-3))\/((-4)\/w).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p = 90*i - 94*i + 34, 0 = 3*i - i + 5*p + 104 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*d**2*i**3 - 578*d**2*i - 47*d**2 - 269*d*i**3 + 160*d*i**2 + i**3 wrt d.\nAnswer: 4*i**3 - 1156*i - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -42*l**2 - l + 1. Let c be d(1). Let y be (2\/(-7))\/(6\/c). Let i be y\/4 - (-37)\/2. Calculate the highest common factor of 152 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -2*q**3 - 15918*q**2 - 697488*q - 7661720 = 0?\nAnswer: -7915, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/5 + 15\/50. Let z = -15 + 10. What is the closest to -0.1 in m, z, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 15147413 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - 520 = 17*g + 30*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.8647 or -2.805?\nAnswer: -0.8647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 + 2.9. Let j = -0.747 - 1.553. Put j, -1, 3, m in descending order.\nAnswer: 3, m, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**2 + 578451*y.\nAnswer: -3*y*(y - 192817)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 6193028063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.41 + 9.59. Put f, 3, 2\/7 in increasing order.\nAnswer: 2\/7, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9794137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**3 - 64*v**2 - 64*v - 45. Determine z(65).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**3 - b**2 - 4*b - 7. Give w(-6).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1045 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 445.22 millennia?\nAnswer: 5342640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7678.\nAnswer: 2, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4389267931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/((v**10\/v)\/v))\/(v**10*v))**(1\/2) assuming v is positive.\nAnswer: v**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 442131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.8262 * -156\nAnswer: -128.8872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 = 27*w - 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 9, z: 2, f: 3, d: 1, s: 1, n: 2}. Give prob of picking 1 k and 1 d.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 10863261 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4017 (base 11) to base 4.\nAnswer: 1103132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 3 + 2)*(74*c - 34*c - 45*c + 1 + (4 - 1 - 1)*(0*c + 2*c - 3*c)) as i + w*c and give w.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -94285*q**2. Let l(d) = -6*d**2. What is l(c(w))?\nAnswer: -53337967350*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n. Let h(s) = -696*s. Determine i(h(c)).\nAnswer: 696*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -44556 (base 10) to base 16.\nAnswer: -ae0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-213 - -211) + 16 + 4 + -4 + (-3 - -12).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3 - (-3 + 44\/4). Is -11 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 2, -147, -19.6 in decreasing order.\nAnswer: 2, -0.1, -19.6, -147","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the third derivative of -h**5\/60 + 5*h**4\/24 - 2*h**2. Let z be g(-5). Is (z\/(-6))\/((-2)\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31244114 (base 5) to base 8.\nAnswer: -772324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the third derivative of v**6\/60 + v**5\/6 + 2*v**4\/3 + 4*v**3\/3 + 16*v**2. Solve p(f) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 11*n. Let r(j) = -4*j. Let w(y) = 6*p(y) + 17*r(y). Let d(z) be the first derivative of 0*z - 2 + 3\/2*z**2. Determine w(d(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 325  (b) 8\/9  (c) -3\/5  (d) 0.5  (e) 3  (f) 0.08  (g) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 0)*(1281*w - 2812*w + 989*w - w + 3*w + 0*w + (0 + 2*w + 0)*(4 - 2 - 4))*(6*w + 3*w - 2*w).\nAnswer: 7616*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h - 1. Let r(q) = -q**2 + 4*q + 1. Let o(a) = -r(a) - 2*u(a). Factor o(m).\nAnswer: (m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -81 + 83 - 5*j - 8*j + (-2 + 5 - 4)*(-2*j + 0*j + 0*j).\nAnswer: -11*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2413777*s**4 + s**3 + 1327*s + 622 wrt s.\nAnswer: 28965324*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 4997*c - 1733*c + 4.\nAnswer: 3264*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*x\/((x*x**(1\/3))\/x))*x\/((x\/(x\/(x*x*x\/((x*x\/(x\/(x*x\/x**6))*x)\/x))))\/x))**22 assuming x is positive.\nAnswer: x**(-308\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/4, -17, 47, -5 in decreasing order.\nAnswer: 47, -1\/4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put together 11 and -366163914.\nAnswer: -366163903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1022 is divided by 29.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1\/6 + -19\/42. Let w = -41 + 307. Let h be (-4)\/(-14) + (-104)\/w. Which is the closest to -1?  (a) -2  (b) k  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -7*p**3 - 6*p**2 + 3*p + 3. Let a be f(-5). Let d(m) = -226*m + 12. Let i be d(-10). Let k = i - a. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 88 - 40. What is the remainder when 189 is divided by z?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(2\/13)\/(n\/(n\/(n*n**(-3)*n)))*(n\/(n**(-2\/9)\/n*n))**(3\/5) assuming n is positive.\nAnswer: n**(368\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 16*r**3 + 10. Let f(y) = -533*y + 58608. Let v be f(110). Let d(t) be the second derivative of -3*t**5\/20 - t**2 - t. Give v*d(u) - 4*k(u).\nAnswer: 2*u**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 5893257 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the third derivative of -1543*n**4\/6 + 94*n**3\/3 - 7*n**2 - 2*n - 2. What is the first derivative of l(q) wrt q?\nAnswer: -6172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 14) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1355 - 1344. Calculate the remainder when 146 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1478519*2.\nAnswer: 2957038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n*n**(1\/13)*n))**(-23\/5))**(-2\/47) assuming n is positive.\nAnswer: n**(-644\/3055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1442 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the second derivative of -3*z**5\/10 - 11*z**4\/12 + z**3\/6 + 2*z**2 + 68*z. What is the second derivative of c(i) wrt i?\nAnswer: -36*i - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -2*y**2 - 9*y + 35. Let l be i(-7). Suppose -4*o + l*o - 5*h + 5172 = 0, -2*h = 8. What are the prime factors of o?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (7\/2)\/((-1)\/(-10)). Let q = 1 - 7. Let r be (8\/q)\/((-36)\/81). Solve 0 = -5*c + r*c + 8, 5*c = 3*y + x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(60)\/(sqrt(432)*-4).\nAnswer: -sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5568 + 6776. Calculate the highest common divisor of c and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 286, -0.1, 5.1, 59?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((6\/(-6))\/((-10)\/(-8)))\/(2670\/75).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7605\/338 + (-10)\/4 + (-2 - -2).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1513 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1811 + 5?\nAnswer: -1808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 3389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 27?  (a) 1\/4  (b) 1  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 716 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -11722 times 2.0387\nAnswer: -23897.6414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**9*o)\/(o*o\/(o*o\/o**4*o))*(o\/(o\/(o\/o**(2\/3))))**(-9) assuming o is positive.\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 5, -2\/19, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 63\/(-210)*(-2)\/(-3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes after 1:09 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0.09, -0.5, -0.22 in decreasing order.\nAnswer: 3, 0.09, -0.22, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1691\/3780 or 0?\nAnswer: 1691\/3780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v. Let q(k) = 158643*k. Calculate h(q(u)).\nAnswer: 158643*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/3)\/(3\/45). Let u(g) = g**3 - 6*g**2 - 5*g - 10. Let s be u(7). Suppose -112 = -s*l - 0*l. Solve 4*c - 33 = 5*h, 5*h + 7 = z*c - l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - -13. Suppose y - 5*k = -w, 5*y - 3*y + 3*k - 20 = 0. Solve -3*v + 1 = -y*v + 4*g, -3*g = 5*v + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1276 and 69020.\nAnswer: 759220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.0126 in -3, -0.06, -0.3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-21554)\/(-25130) - 594\/693. Is x equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.5 + -2.4. Which is the third biggest value?  (a) -4  (b) 0  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1296, 2600, 3908, 5220?\nAnswer: 6536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 4.509248kg?\nAnswer: 4509.248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1355 divided by -475.\nAnswer: 271\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in seven halves of a minute?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 - -4.5. Let z = -5.6 - -2.6. Sort z, b, -0.4.\nAnswer: z, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*a**2 - a**2 - a**2)*(-79*a - 1 + 77*a - 3*a**2 + 6*a**2).\nAnswer: 6*a**4 - 4*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 2*s = -8542, 68*i - 71*i + 25650 = 2*s. What is the thousands digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2 + 3)*1\/(-1). Let k(g) = -120*g + 1. Is k(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**3\/9 + 13178*t**2\/9 - 2412672*t + 2411208.\nAnswer: -2*(t - 3294)**2*(t - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -3 + 0 + -1 + (293 + -112 - 178).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2 + (-2)\/(-4)*4. Suppose q*i - 3 = 5. Factor 0 + 2\/3*v**i - 1\/3*v - 1\/3*v**3.\nAnswer: -v*(v - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pbop when four letters picked without replacement from epltbplbplo.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (19 + (-64 - -22) - 25) + -13 - -10.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -2*p**2 - 55*p - 10. What is r(-27)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the second derivative of -1091*z**5\/20 + 56*z**3\/3 + 2*z**2 + 5*z + 58. Find the second derivative of s(q) wrt q.\nAnswer: -6546*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-457)\/(-406) + (-655)\/(-37990). Factor 36\/7 - 2\/7*r**3 - w*r**2 + 6\/7*r.\nAnswer: -2*(r - 2)*(r + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 9*r = 4635. What are the prime factors of r?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1473, -1460, -1447, -1434, -1421?\nAnswer: -1408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 15537b9 - -16?\nAnswer: 1553813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0 - 22\/2) + 2. Calculate the smallest common multiple of 12 and -1*12\/t*6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -470456 + 911305. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 64 (base 16) to base 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -158703549.73 rounded to the nearest one thousand?\nAnswer: -158704000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -2*a + 8. Let h(u) = -4*u + 23. Let b(m) = -5*c(m) + 2*h(m). Let l(y) = y**2 - 7*y + 5. Let z be l(4). Give b(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 816064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -257*b*j**3 - 2*b*j**2*o*x - b*j*x - 282*b*o + 2*j**3*o - 3*j**3*x wrt o?\nAnswer: -2*b*j**2*x - 282*b + 2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the third derivative of -f**5\/20 - f**2. Suppose -5*c - 5 = -3*g - g, -2*c - 3*g + 21 = 0. Let d(b) = b - b + c*b**2. What is t(d(z))?\nAnswer: -27*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1149661 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -50*g**2 - 5655*g + 75060 = 0.\nAnswer: -1251\/10, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 7*f - 45. Let i(m) = -4*m + 23. Let n(g) = -5*i(g) - 2*y(g). Let z be n(10). Suppose -129 + z = -2*j. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2017491\/100 and 20174 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**2 - 22*b + 2. Let t be l(22). Suppose p - 282 = -v, 513 = t*p - v - 66. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.3  (b) -1.1  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 57\/(-18)*(-6)\/(-15). Let c = q + 5\/3. Is -2 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -55*w + 19*w**3 + 0*w**2 - 38*w**4 - w**2 + 23*w**4 + 14*w**4 to the form h*w**4 + u*w**2 + p + o*w + t*w**3 and give t.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3007876831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 3*r**3 - 6*r**2 - 15*r + 11. Is o(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/11  (b) -0.3  (c) -37\/4  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 196516717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-g + 5*g - 5*g)*(-19 + 1 + 0)*(4 - 2 + 11) to r*g + n and give r.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -196, -508, -938, -1480, -2128, -2876, -3718, -4648?\nAnswer: -5660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 5928\/858 + 8\/((-48)\/42)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.4 - -0.1. Let p = 0.29949 + a. What is p rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 239 is divided by 42.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (38 + 2)*10\/25. Find the second derivative of 0*o + 3*o - 13*o**4 - 6*o + 2*o + i wrt o.\nAnswer: -156*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -15  (b) -0.3  (c) -5199  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (-7 - (3 + -15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the third derivative of -1\/1050*h**7 - 7\/100*h**5 - 6*h**2 + 3\/20*h**4 + h + 0*h**3 + 0 + 1\/75*h**6. Factor g(i).\nAnswer: -i*(i - 3)**2*(i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 46921 - 46921.00057559. What is w rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 52147.52 kilometers?\nAnswer: 52147520000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4 - (-120)\/(-28) - 19\/(-42). What is the third biggest value in 3, -3\/5, o?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 47*f + 16*f - 60*f. Let q(c) = -117*c. Give s(q(h)).\nAnswer: -351*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*w**2 + 16*w + 15*w - 31*w - 4*w**2.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 198  (c) -0.4  (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 36290 and 2181580.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {w: 1, s: 18}?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 308662414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 162 + -218. Which is bigger: -54 or a?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -720250 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -452610 or -452611?\nAnswer: -452611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 24*m + 21. Calculate v(-6).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 4 = t, -t = 6*b - 4*b - 17. Suppose b = -5*f - 4*y - 0*y, 0 = -3*f + 2*y - 13. Let k(s) = -s**3 - 2*s**2 + 4*s + 4. Calculate k(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.391 rounded to 2 decimal places?\nAnswer: -1.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 87 - (-73 - -159) - (0 + 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 122921366?\nAnswer: 2, 5039, 12197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -10*h**3 - 4*h**2 + 1. Is g(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 159 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/((24\/108)\/((-4)\/6)). Solve -7*v = 7*v - q*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1557 + 1693. Let s = 4615 - u. What are the prime factors of s?\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*6\/(-12)*(-2)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 520068589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 187 = -2*p + 185, 3*p + 47 = 5*a for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do 23 and 2\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.04822989*1.\nAnswer: 0.04822989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-4*sqrt(176)\/sqrt(4) - 1*2*sqrt(44))\/((sqrt(96) + (sqrt(96)*-1 - sqrt(96)))\/sqrt(6))*1.\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 2142311*-370\nAnswer: -792655070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 24 = 6*c. Let v be (-2)\/7 - 32\/(-14). Let r = c - v. Put r, -1, 3 in decreasing order.\nAnswer: r, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 61639195 to the nearest integer?\nAnswer: 7851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-47)\/(-188)*(-44)\/(-33)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes before 8:35 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 1871*k + 12037. What is the thousands digit of b(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-8))\/(17\/34).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/((4\/16)\/(6\/48)). Suppose 0 = -k*c - 3*d + 2772, -4*d - d + 3697 = 4*c. Calculate the highest common factor of 71 and c.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*t + 20133*l - 20129*l - 162, 0 = -2*t + 2*l - 66 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}