{"text":"Question: Suppose -21*b - 7 - 14 = 0. Let k(z) = -1. Let q(l) = 5*l + 2. Let f(y) = -21*y - 9. Let t(o) = 2*f(o) + 9*q(o). Give b*t(d) - k(d).\nAnswer: -3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-2\/9)*a)**(-30))**17 assuming a is positive.\nAnswer: a**(-1190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 68274*d**4 + 3*d**3 + 72035*d**2 + 2*d - 5 wrt d?\nAnswer: 1638576*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, 120 in ascending order.\nAnswer: -4, 2, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 w when two letters picked without replacement from zzzhzwzzzzzzzzzzzzzz?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22132.\nAnswer: 2, 11, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-27)\/18)\/(6\/(-164))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the first derivative of -2*j**5\/5 + 7*j**4\/8 - j**3\/3 - j**2\/4 - 8. Factor f(c).\nAnswer: -c*(c - 1)**2*(4*c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-2 + ((((sqrt(343) + 1)*1)**2 - sqrt(343))*-4 - 2*(-2*sqrt(343) + 1))).\nAnswer: -2760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101022220122 (base 3) to base 2.\nAnswer: -110001101000111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the second derivative of -v**5\/30 + 6*v**2 - 27*v. Let i(m) be the first derivative of q(m). Let f(z) = -23*z**2. Calculate i(f(w)).\nAnswer: -1058*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2 - 13*r - 7. Let q be d(-12). Let m(j) be the third derivative of 0 + 0*j**3 - 1\/420*j**6 + 0*j + 0*j**4 - 1\/210*j**q - j**2. Factor m(c).\nAnswer: -2*c**2*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 23*c + 159. Let v = 14948 + -14955. Calculate q(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 9672, 9898, 10214, 10620?\n\"Answer: 45*f**2 + 91*f + 9536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.015 and -59.\nAnswer: 0.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/(-9) - 1) + 3\/(3456\/224)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 35*t - 37*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 197*s = 183*s + 28. Let n be (-11 + 11)\/(1*2). Solve -3*d = s*l - 0*d, n = 5*l + 2*d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -4032008, -8064010, -12096010, -16128008, -20160004, -24191998?\n\"Answer: x**2 - 4032005*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 13.3311 months?\nAnswer: 1.110925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-33)\/4*24\/(-252)*28*-1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:44 PM and 6:48 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 197678 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**0\/q*q)**46\/(q**(-3\/4)*q\/(q\/(q*q\/(q*q**(1\/2))))*q))**48 assuming q is positive.\nAnswer: q**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3085 + 1468. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -46*o + 10*o + 39. Let q(h) = h**2 + h. Let l(r) = 33*r**2 + 55*r. Determine o*l(w) - 55*q(w).\nAnswer: -22*w**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (7 + (6 - 15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 3*m**3 + 46*m**2 + 14*m - 9. What is f(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4 - 4380306\/(-1095075))*709465\/(-20). Let s = -5\/4867 - y. Calculate the common denominator of -77\/60 and s.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - (5 + 4 + -6)) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes after 12:37 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 - 2 - 7*o**2 + 0 + 8*o**2 - 5*o - 6*o**2. Suppose 16 = -s - 4*y, 3*s - 4*y = -s - 4. Calculate the least common multiple of 1 and z(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 73685 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 224*t + 846108 = 845212 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*p + 0 + 0)*(p - 4*p + 4*p) - 2*p**2 + 2*p**2 + 2*p**2 + (-60*p - 110*p - 12*p)*(4*p - 2*p - p) as b + i*p**2 + c*p and give i.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000006524 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 9310728 a multiple of 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 31017653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m + 10*d - 12*d = -2, -d + 3 = -2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 + 9*h + 6. Suppose 0 = 4*g - 46 + 2. Let j(n) = 2*n**2 + 17*n + 11. Suppose 2*d - 3*f + 9 = 0, 91 - 86 = -5*f. What is d*j(b) + g*x(b)?\nAnswer: -b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1404\/19 in 0.2, -1\/3, 10\/11, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**5\/5 + 66*r**4\/5 - 864*r**3\/5.\nAnswer: -r**3*(r - 48)*(r - 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 541401 is divided by 2294?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1913897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -2, 8.\nAnswer: -2, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**3 + 21*g**2 - 22*g + 27. Let l be v(-22). Suppose 0 = -s - c + l, 3*c - 78 = -2*s + 7*c. Solve 3*d - s = 5*n - 0*d, 0 = -n - 3*d + 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, t: 4}. Give prob of picking 1 p and 2 t.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -y - 6. Suppose 0 = j - 4 + y. Let o = 5028519 - 5028521. Sort o, -4, j in decreasing order.\nAnswer: j, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -h**2*n - 6*h*n + 109*h - 16189*n with respect to h.\nAnswer: -2*h*n - 6*n + 109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/k**17)\/(k*k**(-10)))\/(k*k*k**(1\/3)*k)**(-14\/3))**(-2\/63) assuming k is positive.\nAnswer: k**(-22\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1491 and -1.6.\nAnswer: -1492.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:40 AM and 9:56 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**2 - 4*m + 2. Suppose 4*l - 2*u = -10, 0*u + 12 = -4*u. What is x(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 286060258 to the power of 1\/3, to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 - 3.4. What is the second smallest value in s, 0.4, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:12 AM and 3:50 PM?\nAnswer: 638","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 15, s: 5}. What is prob of picking 1 s and 1 k?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 8 + -2. What is the remainder when g is divided by -1 + 5 + (31\/62)\/(2\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 7*v**3 - 4*v**2 + 3*v - 6. Let j(k) = 4*k**3 - 2*k**2 + k - 3. Let a(h) = 5*j(h) - 3*t(h). Let i be a(2). Which is bigger: i or -6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 950\/50*(-2)\/8*-4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2829 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:29 PM and 12:44 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32921 is divided by 3656.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 385871*l**3*u**2*y - 115*l**3*u*y - 3*l**2*u**2*y + 6*l**2*y + 10*u**2*y + 111*y - 1 wrt l.\nAnswer: 2315226*u**2*y - 690*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*b - 6 = 5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 287350 rounded to the nearest one thousand?\nAnswer: 287000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes after 9:15 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (5 + (-5)\/25)\/(3\/15). Let r(s) = -6*s + 139. Let w be r(m). Put 1, 0, -2, w in increasing order.\nAnswer: w, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -925 + 456 + 458 + 3*s to w*s + b and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > 7\/55749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the first derivative of -1\/2*l**4 + 0*l**3 + l**2 + 2 + 0*l. What is the second derivative of x(t) wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 3*w**2 + 117*w + 236. Calculate the smallest common multiple of 231 and y(-37).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 91095*q**4*u*x + 14*q**2*u*x - q**2 + 2*q*u*x - 1083*q*x + 3*q - 35*u*x + 5 wrt q.\nAnswer: 1093140*q**2*u*x + 28*u*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.1637 and -0.1?\nAnswer: 0.0637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**2 - 2*q. Let y(n) = 28*n + 32*n - 61*n. Let d(w) = w**3 + 5*w**2 + 5*w + 4. Let o be d(-4). Suppose o = -5*u - 0 - 5. Determine u*l(s) + 2*y(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 0.9923426 years?\nAnswer: 11.9081112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -2*k**5 - 183*k**3 - 6*k**2 - 200*k - 13. Let z(q) = 3*q**3 + q**2 + q + 2. Let c(j) = -o(j) - 6*z(j). What is the second derivative of c(d) wrt d?\nAnswer: 40*d**3 + 990*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5287527ng in tonnes?\nAnswer: 0.0000000000000005287527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 3\/1441?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13 + ((-106075)\/(-5) - 15)?\nAnswer: 3, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14487 - 159359\/11. Sort 48, n, -3, 0.3, 0.4 in increasing order.\nAnswer: -3, n, 0.3, 0.4, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1737328 and 460?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 - 2.1. What is the closest to b in 4, -0.5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17458 by 43.\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*j - 7428 + 7428.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -29 + -5 + 125 + -148.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*w + 192 = -218. Calculate the remainder when 356\/10 - (-2)\/5 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ipn when three letters picked without replacement from nstpi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -93 + 96. Suppose 68 = 4*a + 3*k, -5*a + b*k = 4*k - 96. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 670 a factor of 141841011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -2633*a**2 + 20*a + 5. Let z(y) = 215912*y**2 - 1644*y - 411. Calculate -411*m(q) - 5*z(q).\nAnswer: 2603*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -2*x - 2*s, -2*x + 4*s + 25 = -1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000059778 rounded to six decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-17*l + 23*l + 33*l)*(-2*l**2 + 5*l**2 - 4*l**2) to the form i + w*l**3 + t*l + j*l**2 and give w.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2\/731 + 1488\/9503. Which is the second smallest value?  (a) z  (b) 0.03  (c) 5  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 651476.29 minus -1?\nAnswer: 651477.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -11*z**3 + 6*z**2 + 636*z + 2.\nAnswer: -66*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-25)\/(-15))\/(-5))\/(5\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(40)\/sqrt(2))\/sqrt(4) + 1 + sqrt(80) + -4)**2.\nAnswer: -30*sqrt(5) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 128960 divided by -25792\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*m + 2*f + 10, -f + 7 - 27 = 5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(3) + 0 + sqrt(3) + -2 + 3 + sqrt(3))**2.\nAnswer: 18*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11538619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = -5, -21 - 19 = -5*m - 5*b. What is the second derivative of m*i**3 + i + 3*i - 35*i**3 wrt i?\nAnswer: -168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61*u**2 - 8*u + 33*u**2 + 22*u**2 + 20*u**2.\nAnswer: 14*u**2 - 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*u = 105*u + 5*s + 25, -5 = u + s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**2 + 671*c + 25496. Calculate g(-36).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -8*b**2 + 103*b + 30. Let a be q(13). What is the second biggest value in 4, 3, -1\/6, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*r**2 - 36*r**2 + 23*r**2 + 10*r**3 to m*r**2 + v*r + q + d*r**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5919 = -193*v + 490*v + 1506 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-42)\/(-7) + -7)\/(7 + -1)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -62, -4, -969?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -27 + 32. Solve 4*p = -3*s - 14, d*s + 0 - 5 = -p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 1828 - 1828 + g - 2*g. Let s(t) = -5*t**2 - 3*t + 2. Let h(k) = s(k) - 4*v(k). Let y(w) = 2*w - 4. Let a be y(3). Determine h(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2.651 - -0.001. Let z = b - -3. Let t = z + -0.05. Sort -3\/7, t, -0.04.\nAnswer: -3\/7, -0.04, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**2 - 6*k + 8. Let y be x(5). Solve 5*d - d = 2*s - 8, 0 = -y*s + 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(2\/5))**(-36)\/(s*s**(-2\/7)*s)**(6\/11) assuming s is positive.\nAnswer: s**(-5904\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 21.1 - 17.1. Let u = -0.7 - -0.3. What is the second smallest value in f, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.06549 and -17164?\nAnswer: 17163.93451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 4*t**2 - t - 9. Let y(i) = -3*i**2 + 2*i + 9. Let d = -4 + -15. Let x = 14 + d. Let p(f) = x*y(f) - 4*r(f). Factor p(h).\nAnswer: -(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16 + -4. Let d = g - 12.0000024. What is d rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = -11*y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*l + j - 6 = 34*l, -6 = -3*j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = -3*q + 61, 5*c = -q - 0*q + 27. Let k = q - 43. Let i = k + 26. Solve s + i = 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1217, 4932, 8647, 12362, 16077, 19792?\n\"Answer: 3715*b - 2498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*u + 4*b + 28, 42*b + 20 = 37*b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 97287776*b**2 - 138889609?\nAnswer: 194575552*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*d**4 + 1332*d**2 - 61*d - 6?\nAnswer: -24*d**2 + 2664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -13.041 and -1.759.\nAnswer: 22.939119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/((-560)\/(-290)))\/(((-9)\/3)\/21).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-10)\/(-6))\/((-2)\/(-6)). Let t(j) = -2*j + 12. Let w be t(l). Put 6, w, 3 in increasing order.\nAnswer: w, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.148 + 4.0801. Let p = m + -28.0051. Let h = -25 - p. What is h rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 15 = 51. Let p = -21 + d. Suppose -s - 2 = -2*g + 2*s, -4*g = -4*s - 8. What is the greatest common factor of p and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 395753699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 7*x**3 + x**2 - x + 1. Let u(b) = 2*b**3 - b**2. Let h(o) = -m(o) + 2*u(o). Let s(t) = -t**2 + t - 1. Calculate h(p) - 3*s(p).\nAnswer: -3*p**3 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 4*b, 2*w + 496 = -b + 2*b. Find the common denominator of w\/(-90) - 20\/150 and 13\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15c (base 14) in base 7?\nAnswer: -545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1346185, 1346188, 1346195, 1346206, 1346221, 1346240?\n\"Answer: 2*q**2 - 3*q + 1346186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5424515 (base 6) to base 13.\nAnswer: -94cca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 233.09 and 2924?\nAnswer: 2690.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 12\/((25\/1010)\/((-30)\/(-18))). Let j = u + -701. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 - 1)*(2 + 73 - 25)*(b + 2 - 2).\nAnswer: 100*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u + 4. Let o be x(4). Suppose g - 5*i = -7, -3*g + i - 6*i + 19 = o. Suppose g*j - j - 20 = 0. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-4 + sqrt(80) + -2 + sqrt(80))**2*-5.\nAnswer: -10680 + 2880*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 228*h**2 - 60*h + 205. What is the hundreds digit of t(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.766 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/1*1*(-1)\/(-7).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6518*g - 2629*g - 2771*g)*(-13*g**2 - 75 + 75).\nAnswer: -14534*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -15*c**2. Let x(n) = -9*n**2 + 4. Let y(s) = -8*s**2 + 3. Let w(o) = 3*x(o) - 4*y(o). Calculate r(w(i)).\nAnswer: -375*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the second derivative of 179*f**7\/42 - f**3\/3 + 37*f**2\/2 + 186*f. What is the second derivative of y(r) wrt r?\nAnswer: 3580*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 17\/976?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 321cc0 (base 15) to base 12\nAnswer: 9706a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 10*k + 18. Let j(v) = 25. Let b(y) = j(y) - m(y). Let h(s) = 21*s - 15. Let u(q) = 2*q**2 + 6*q + 5. Let o be u(-4). Calculate o*b(l) + 6*h(l).\nAnswer: -4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1221.9 and 1145?\nAnswer: -1399075.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and -0.3.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -16712, -16710, -16708, -16706, -16704?\n\"Answer: 2*b - 16714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 127\/6 and -51\/460.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -29, -56, -83, -110, -137?\n\"Answer: -27*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.3, -14189828, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(8)\/sqrt(4)*5.\nAnswer: -1 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -643 + 778. Put 0.4, -2, q, 2 in descending order.\nAnswer: q, 2, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**2 - 1. Let z(d) = 1356*d**2 - 1528. Let o(w) = -3*v(w) + z(w). What is the derivative of o(y) wrt y?\nAnswer: 2718*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the second derivative of -u**4\/12 - u**3\/3 + u**2\/2 + 8*u. Let v be i(-5). Let w(k) = k**3 + 14*k**2 - 2*k + 5. What are the prime factors of w(v)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(288) + 3)*5)**2 + (sqrt(288)*-4)**2.\nAnswer: 1800*sqrt(2) + 12033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-26)*z*z)\/z**(-1\/6))**(1\/82) assuming z is positive.\nAnswer: z**(-143\/492)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {a: 7, f: 9}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -5*p**3 + 31*p**2 + 653*p + 63. Give k(15).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = 5*c - 7, -2*q - 2*c + 3 = -c. Suppose f - 4*j = 18, 2*j = -f - q - 5. Factor 2*k**3 + f - 2 - 2*k.\nAnswer: 2*k*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 2, -9142, -2, 1 in increasing order.\nAnswer: -9142, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 3, w: 5, l: 2, e: 2}. Give prob of picking 1 w and 1 f.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14611 is divided by 99?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 70362*w**4 - 261*w**3 - 25120739*w + 2 wrt w.\nAnswer: 844344*w**2 - 1566*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 40*t - 3155. Determine h(77).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.161 times -0.4?\nAnswer: 0.0644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-220)\/88*(-144)\/1. Calculate the greatest common divisor of o and 495.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 4*u**4 + 4*u**3 + 5*u. Let t(n) = n**4 + n**3 + n. Let g(a) = 4*o(a) - 20*t(a). Determine k, given that g(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**2 - 15*w - 6. Let c be y(15). Let n be c\/(-15) + (-1)\/5*-21999998. What is n rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b - b + 30. Let y(o) = -16 - b*o - 2*o - 8*o + 37*o. Let x(s) = -4*s + 3. Give 11*x(w) + 2*y(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -31307*g*j**3*o**2 - 8*g*j**2*o + 4*g*j*o**2 + 37*g*j wrt j.\nAnswer: -187842*g*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a + 2*a + 2*a. Let n(b) = -11*b + 1. Let o(q) = 7*d(q) + 3*n(q). Is o(6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*y**3 - 10*y**3 - 23*y**3 - 16*y**3.\nAnswer: -61*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 261*q + 511. Calculate l(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -90 bigger than -129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -2*u**2 + 5*u + 1. Determine d(-5).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2835676 divided by -1417838.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 - 2)*(-f - f + f + (-3 - f + 3)*(0 + 2 - 1)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 507095 (base 13) in base 11?\nAnswer: 1069488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -887814 by 10827.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-p - 1 + 1)*(3*p + 0*p - 4*p) - 3*p**2 + 5*p**2 + 5*p**2 in the form q*p**2 + j*p + c and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 + -250?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 168366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 5*w - w - 41, 4*w - 6 = -2*b. Suppose w*j - 12 = 8*j. Put 4, -2, j in increasing order.\nAnswer: j, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 divided by -137?\nAnswer: -7\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -0.5, -8, 0 in descending order.\nAnswer: 0, -0.5, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3437 by -12.\nAnswer: -3437\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 divided by -46051572?\nAnswer: 11\/46051572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 4*v**3. Let h(b) = -2*b + 6. Let q be h(2). Let u(w) be the first derivative of -1\/4*w**4 + w + 0*w**2 + 1\/3*w**3 + q. Calculate -o(l) - 2*u(l).\nAnswer: -2*l**3 - 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/3857 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20341 is divided by 19522.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 - -3814?\nAnswer: 3818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the third derivative of 0*u**3 + 0*u + 0 - 1\/1155*u**7 - 4\/33*u**5 - 43*u**2 + 1\/60*u**6 + 4\/11*u**4. What is v in s(v) = 0?\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that j**2\/7 - 9*j\/7 - 36\/7 = 0.\nAnswer: -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -130. Let j(i) = -41. Let u(k) = -19*j(k) + 6*r(k). Suppose 2*a + 2*a - 13 = 5*h, -8 = -5*a - 2*h. Let t(m) = -m + 2. Determine a*u(c) + t(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 166583315135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88 = -48*g + 40*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 2 = -3. Suppose -i = -u*i + 4, 4*f - 50 = 2*i. Calculate the remainder when f is divided by 2 + -1*(-2)\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6121 - 10825. Is -4704 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2241294916+1.05\nAnswer: 2241294917.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 2*p = 84. Calculate the remainder when p is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*c**4 + c**4 + 3*c**4 + (-c - c + 3*c)*(9*c**3 + 14*c - 14*c).\nAnswer: 10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5209*u**3 - 580*u**2 - 1 wrt u.\nAnswer: 31254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.48965 != -103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 49 + -41. Calculate the smallest common multiple of 5 and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a**3 - 2*a**3 - 2*a**3)*((2*a + 3*a - 3*a)*(3 + 2 + 0) + 4*a - 4 + 4).\nAnswer: -98*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 221369086 to the nearest integer?\nAnswer: 14878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 + -2 + 6 + -1. Let i = 26747\/23550 + -57\/50. Let w = 108\/785 + i. Which is the nearest to 2?  (a) y  (b) -1  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyx when three letters picked without replacement from jyxyxyjiryyyyylxyy.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-14)\/(-56)*((0 - -2) + 6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1851.24055 to 0 dps.\nAnswer: -1851","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let v = 579 + -463. Let g be (-16499999)\/(-2) + 58\/v. Round g to the nearest 100000.\nAnswer: 8300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/124971 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 6 + 3. Suppose -n*a = -26 - 52. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*p - d - 22 = -28*p, 4*p - 16 = -2*d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 51 - 95. Let q = j + 81. What is the remainder when q is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*i**2 + 223*i - 219*i + 256*i**5 - 20*i**5 wrt i?\nAnswer: 14160*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 95\/(-15) + (-91)\/(-273)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -274 - (-4 + -6)\/5. Let t = 276 + k. Solve t*m + m = 4*j - 4, 2*m - 3 = -3*j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 5*(2*sqrt(228))\/sqrt(12).\nAnswer: -5 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 627.712 centuries?\nAnswer: 62771.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 47\/6255 - -1\/278. Let c(a) be the second derivative of 1\/27*a**3 + 0 + 1\/27*a**4 - 4*a - u*a**5 - 2\/9*a**2. Factor c(v).\nAnswer: -2*(v - 2)*(v - 1)*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x**3 + 10*x**2 + 5*x - 4. Let g be s(9). Let c = -86 + g. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -2*d + 23. Suppose 2*c - 63 = -5*b, 3*c - 40 = -3*b + 5. Let o = -4 + b. What is the remainder when s(o) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - -1.8. Let m = 0.3 + n. Let o be 5341\/(-5831) + (-25)\/(-425). What is the closest to 0.1 in 3, m, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5\/4?  (a) -1  (b) -4  (c) 5  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5*1 - (-8 - -156)\/(-2). What is the greatest common factor of 316 and n?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 34 = -5*d + 1, -5*w - 5 = 0. Let z = -3 - d. Suppose -j = -0*j - 5*c + 24, -4*c + 17 = -3*j. Solve 0 = z*r + a - j, 2*a + 9 = -a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-10)\/((-6)\/(-2) - 2). Let d(t) = 2*t**2 + 4*t + 19. What is the units digit of d(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -1, 2\/75, 1 in descending order.\nAnswer: 1, 0.5, 2\/75, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j + 137*s = 139*s - 10, j - 4*s + 5 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + 3*d = s + 4, 0 = 4*d - 8. Solve -s*o + 10 = 4*c - 4*o, c - o = 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 5.5731 and 67635470.\nAnswer: 67635475.5731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 112 is divided by 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10 - -11. Suppose 0 = -g + 35 - 29. Let l be d*8\/g*43050\/28. What is l rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1223040344 to the nearest integer?\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(2\/5)\/(v\/v**8))\/(v**0)**(1\/16))\/((v**1\/v)**(-2\/13)\/(((v\/(v*v**2))\/v)\/v*v**2)) assuming v is positive.\nAnswer: v**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1010 (base 3) to base 15.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 73426651 - 13?\nAnswer: 73426637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9866467 is divided by 9936.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-38)\/(-9) + 8\/(-36). Let g be (-2)\/(-9) - 34\/(-9). What is the second derivative of -w*z + 0*z**4 + 2*z - z**g wrt z?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -30040 + 30039.5. Which is the closest to -1?  (a) f  (b) -2\/3  (c) 0.4  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((1 + sqrt(2736) - sqrt(2736))**2 - sqrt(2736)) + sqrt(2736) + sqrt(38)\/sqrt(2)*-4.\nAnswer: -4*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17263 = -3*l + 6*v - 17311, 20 = -2*l + v for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 2*t = 0. Let p be -1 + (-2)\/(-4) + 1. What is the biggest value in t, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12252 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 948 - 934. Suppose 0 = 7*t - 2*t - 10. Solve 6 = -t*y + h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 5904476, 5904478, 5904480, 5904482?\n\"Answer: 2*i + 5904474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-16)\/15 - (16 + 1476\/(-90)). Which is the closest to -4.7?  (a) 0.06  (b) -0.2  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 680*u + 1733*u - 55815 = 72074 for u.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 3*t - 3)*(t**2 - 2*t**2 - 2*t**2) + 14 - 5*t**3 - 14 in the form x + u*t + i*t**2 + z*t**3 and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 155489\/120 + -6486\/5. Find the common denominator of -113\/1632 and k.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -19195, -76811, -172867, -307387, -480395, -691915, -941971, -1230587?\n\"Answer: -4*c**3 - 19196*c**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**4 + 3*h**4 + h**4)*(-1 + h + 1) + 3*h**5 - 4*h**2 + 4*h**2 + 2 - 2 - h**5.\nAnswer: 4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**3 - 2*r**2 + 2*r + 2. Determine q(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 137\/6391350 and -121\/518?\nAnswer: 236479950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-93)\/(-5))\/(2808\/(-11700)*(-5)\/4)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (870\/(-725))\/(8\/(-7))*2*(-12)\/9?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -16*h + 334. Let d(c) = -3*c + 67. Determine 11*d(w) - 2*v(w).\nAnswer: -w + 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3298481793\/3604 - 915228. Find the common denominator of -30\/7 and r.\nAnswer: 25228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 2709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 2*d + 80 = 0. Suppose l = -4*l - d. Let s = l - -6. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -2*s**3 + 14*s**2 - 12. Determine t(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -360681 or -10459770\/29?\nAnswer: -360681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes after 2:35 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 24 - 24.4. Let g = -18.42 - -16.8. Let t = g - -0.62. Which is the nearest to -0.3?  (a) u  (b) 0.02  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - -3 - (-3 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (13\/3 + -4)*-3. Which is the smallest value?  (a) r  (b) 2  (c) 1  (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 - 2.9999998. Round t to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 25*q - 13*q - 216. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 - (-7 + 2\/(-2)). Suppose z*u - 3*u = 48. Suppose u*i = 6*i. Put 5, -2, i in increasing order.\nAnswer: -2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*v + 278 - 278 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (4*sqrt(19)*-2 + 1 + (1*sqrt(19))**2 + 3)*-3.\nAnswer: -71 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -14 by 1853108.\nAnswer: -7\/926554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*k - 3 + 1 + 0*k + (-67 + 67 + 30*k)*(-1 + 2 + 1).\nAnswer: 57*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -27*a**2 + 970*a + 1041*a - 1805*a wrt a?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*p**2 + 3*p**3 + 3*p**3 - 6*p**4 + 0*p**2 + p**3 + 8 - 8*p**3 to l*p**3 + m + i*p + a*p**2 + d*p**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert c5655 (base 16) to base 8.\nAnswer: 3053125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5288747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3174 and 2346?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/78)\/((-50)\/(-30)*24\/16).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 879 + -175. Let w = o + -704.0000001. What is w rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wmmwwmmwwmwwwmmmmmww. What is prob of picking 3 w?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lialjjlililli. What is prob of sequence ailj?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 - 33 = -11*r. Calculate the remainder when (87\/12)\/(r\/16) is divided by 2\/(-7) - 116\/(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 + 0)*(0*d**2 - d**4 + 0*d**2) + (-5*d - 44 - 45 + 86)*(3*d**3 - 4*d + 4*d).\nAnswer: -14*d**4 - 9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 33490 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -385136567\/966 + 398692. Calculate the common denominator of w and 1\/276.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a + 6. Let c = -4 - -9. Let h(k) = -2*k + 7. Let d be h(c). What is the units digit of g(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2716 - -14230?\nAnswer: 11312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.383 and 1?\nAnswer: -1.383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65*i**3 + 19373*i**2 - 9688*i**2 - 9685*i**2 - 10*i**3.\nAnswer: 55*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/9*3\/(594\/(-55))*(-176)\/(-660).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -46 - -125. Do 79 and h have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-20)\/80 + (-1666)\/(-8). Calculate the highest common factor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -377, -373, -357, -323, -265, -177, -53?\n\"Answer: z**3 - 3*z - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 8*v**3 + 222*v**2 - 54*v + 40. What is d(-28)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9 + 12. Let u be (-145)\/r - 31\/(-93). Which is greater: u or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -659*f**4 - 2393*f**3\/3 + 1561*f**2\/3 + 2393*f\/3 + 416\/3 = 0. Calculate f.\nAnswer: -1, -416\/1977, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z = -25, 13 = 2*q + 5*z - 2*z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 54\/81 - 10\/(-3). Suppose 4*n - 59 = -r, 3*r + r = y*n - 84. Solve -n = -6*u + 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -137, 5, -25.\nAnswer: -137, -25, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**3 - 11*j**2 + j + 13. Let d be u(-11). Suppose -d*m + 170 = 5*s, 0*m = -m - 5. Calculate the remainder when s is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + 1.2. What is the closest to -1\/3 in 0.09, y, 2?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/3*6\/4. Let s(c) = c**2 + 3*c + 1. Suppose -2*t - 2*t + 8 = -4*v, -5 = v. Let a be s(t). What is the highest common divisor of a and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 21 = 33. Let i be 788\/22 + (-10)\/(-55). Let y = i - g. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -3*g + 5. Suppose 2*z + z = 1026. Let i be (-1)\/4 - z\/(-24). Let o be (-122)\/i - 22\/77. Let w(d) = 7*d - 11. Give o*c(m) - 4*w(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the first derivative of u**4\/4 - 2*u**2 - 3*u + 1252. What is t(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1825654991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = n - 1586, -4344 = -3*f - n + 422. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (35\/(-21) + (-1)\/3)\/((-9)\/(-30))\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/13, 22, -1\/7, 2\/17, 6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**3 - 8*k**2 + 6. Let t be m(-8). Let d be (t\/(-21))\/(1 - 0). Which is the second smallest value?  (a) d  (b) -4  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u**4 - 5*u**4 - 8*u**4)*((0 + 3 - 1)*(u + 2*u - u) + 2*u - 2*u + 2*u).\nAnswer: -66*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 930 - -98. Is (-1)\/((12\/y)\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0308 to three decimal places.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16400 and 492?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -8*a**2. Let q(c) = -6*c**2. Calculate x(q(l)).\nAnswer: -288*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**3 - 44*d**2 - 476*d - 160. Let o be m(-26). What is the highest common factor of o and 1936?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60882215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 26 + -29. Let y be (76 - 1)*m\/9. List the prime factors of (-3 + y)*(-5)\/10.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/4*-3*(-1376)\/(-258). Solve -f*s + 9*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44282118.\nAnswer: 2, 3, 37, 173, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1041046 is divided by 69402?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.85 - -1.859. Let m = 0.309 - o. Let c(q) = -4*q. Let s be c(-1). What is the nearest to -2 in 3\/2, s, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y + 6. Let k be n(0). Is 4 a factor of 15\/k*(-12)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - l = 21, 5*l = 5 - 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 170\/(-2125) - ((-20724)\/300 + 8).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4364 divided by -1091.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*f**5*s - 16*f**3*s - 4*f**2*s - 3*f**2 + 2 wrt f.\nAnswer: 300*f**2*s - 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-2 + (sqrt(2) - (sqrt(2) - (sqrt(72) + 1 - sqrt(72))))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -14817092.4 rounded to the nearest one hundred thousand?\nAnswer: -14800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the second derivative of q**6\/144 - 11*q**4\/6 + 2*q. Let b(g) be the third derivative of l(g). Let v(i) = -7*i. Calculate v(b(z)).\nAnswer: -35*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q**2 + q**2 - q**4 + (2 - 2*q**2 - 2)*(-2*q + 2*q + 2*q**2) - 6*q**4 + 3*q**4 + q**4 + (4 - 4 + q)*(-q**3 - q + q) - 4*q + 4*q - 3*q**4.\nAnswer: -11*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -252, -123, 386, 1275, 2544, 4193?\n\"Answer: 190*n**2 - 441*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 104 divide 3140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((306\/(-84) - -4) + (-77)\/(-539))*(0 + 206).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.839 - 0.161. Which is the closest to w?  (a) -18  (b) 0  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1\/174 + -1825\/348. Calculate the common denominator of p and -17\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39530696 times 3?\nAnswer: 118592088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 212 - 72 + 16*k - 63 - 69 to the form s*k + r and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 5, h: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k + 2*j - 48, -66 = 2*k + k - j. Let q = -9 - k. Let l = 46 - q. What is l rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 19659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1.9 or 6\/31?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15904*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -101001200000 (base 3) in base 14?\nAnswer: -52261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 + 2. Suppose -3*y + 30 = t*y. Let j(d) = -5*d**3 + 9. Let i(g) = 11*g**3 - 19. Let x(f) = y*i(f) + 13*j(f). Determine x(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -10*f**2*l**3*y + 7*f**2*l*r*y + f**2*l - f**2*r*y + f*l**3*y + 5*f*l*y + 4*l**3*r wrt r?\nAnswer: 7*f**2*l*y - f**2*y + 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/26538 and -41\/36.\nAnswer: 159228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/9, -1\/4, 1, 0.4, 0.15 in ascending order.\nAnswer: -1\/4, 1\/9, 0.15, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 2 = -2*n + 8*s, -2*n + 11 = 5*s. What is the biggest value in -0.1, n, 6, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 25 by -76.\nAnswer: -25\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -246.1 + 248.1. What is the second biggest value in 4, 1\/5, i, 2\/9, -93?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 485546773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 819416 is divided by 516.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-6)*m)\/m*m)**4*(m*m\/m**(-13\/3))\/(m*m*m**(-7)\/m*m) assuming m is positive.\nAnswer: m**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/4 + 119319193\/14. Suppose -5*a = -m + 1662534. Let d = -912053 + a. Round d to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes before 2:58 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -4*l + 11, -3*y + 1 = 34*l - 35*l. Solve -l*q = 3*x + 25, q - 9 = 5*x + 11 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -204*v = 89*v - 45*v + 3070 - 16710 for v.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -832 + 151606?\nAnswer: 150774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 - 35*t**2 + 488*t - 107. Calculate b(-47).\nAnswer: 3465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4994334.\nAnswer: 2, 3, 37, 7499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*s - 27*s + 8*s + 13*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5  (b) 5  (c) -2\/19  (d) -1770\/49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 6  (b) -0.5  (c) -6\/7  (d) 2  (e) 8767  (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 146925 to the power of 1\/2, to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -397 - -397.7. What is the nearest to b in -0.5, -2\/9, 14?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2818, -2808, -2798, -2788, -2778?\n\"Answer: 10*f - 2828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 4*n = -4, -3*n = -3*h - 0*n + 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-90)\/(-100))\/(153\/68)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 139*n**2*p**3 + n*p**2 - 4*p**3 - 6*p**2 wrt n?\nAnswer: 278*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(128) + 3*(1 + sqrt(128)).\nAnswer: 3 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/17 or -107?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-93)\/(-6) - (-4)\/(-8). Let x be 3\/w - 116\/5. Find the common denominator of ((-36)\/16 + 2)*x and 53\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -382 + 384. Solve -l*k - 78 = -88 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**2 - 85*k - 261. Let o be v(-3). Solve -5*i + p - o*p = -2, -4*i + 3*p + 20 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86905909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2103*v - 349*v - 352*v - 353*v - 338*v - 359*v - 349*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**3 - 9*d**2 + 9*d - 6. Let k be z(-10). What is the units digit of (k\/8)\/((10\/668)\/5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2191 is divided by 110.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40 + (9 - -7 - -21 - 15).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 2*c = 17, -2*q = 2*c - 12 - 6. Let b = 1 + q. Suppose -5*h = f - 1233, 3*h + 3771 = b*f - 3*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -49*t - 354. Let c be p(-7). Put -3, c, -5, 2 in decreasing order.\nAnswer: 2, -3, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (38 + -6 - 2) + -24.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dddu when four letters picked without replacement from {u: 5, d: 5}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76246*i + 5*i**3 + 76246*i + 16*i**2 - i**3 = 0. Calculate i.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 9) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(128) - (1 + sqrt(128))) + 5 + 4)**2 + 3 + sqrt(128)*5*3.\nAnswer: 67 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**3 - 70*k**2 + 191*k - 2103. Calculate l(-73).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 10, g: 4}. Give prob of picking 3 p.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 138*s = -143*s + 8, -3*s = -4*i + 19. Which is the nearest to 2?  (a) i  (b) 5  (c) 0  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 59398861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.2764 - 0.2764. What is the closest to 0.1 in -5, -14\/15, j?\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.3 - -0.2. Let u = 4.5 + a. Let r = -5.1 + u. Is r < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 16*5*4\/10. Let g(r) = 2*r**2 - w*r + 32*r. Let d(f) = -14*f. What is g(d(t))?\nAnswer: 392*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(125)*6 - sqrt(80)*6))**2.\nAnswer: 36*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t - 10, 10*t - 5*t = -4*m + 10867. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*u**2 - 19*u**2 - 4*u**3 - 17*u**2 + 46*u**2.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 170 + 269. Let h = -439.0628 + f. What is h rounded to three decimal places?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*a**2 - a**2 + 2*a**2)*(-2*a - a - a) to g + s*a + f*a**2 + h*a**3 and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**2 - 13*p + 16. Give f(-13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 + -1000100?\nAnswer: -1000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 15)*(3*t**4 - t**3 + t**3) + 4*t**3 - 4*t**4 - 4*t**3.\nAnswer: -37*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the second derivative of -b**5\/20 - b**4\/8 + 2*b**2 - 9*b. Let c(k) be the first derivative of a(k). Factor c(u).\nAnswer: -3*u*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 2*g - 48 = 0. Let u be (-56)\/g + 2\/6. Suppose 4*k - u = 2*o + 7, o = k - 1. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -64759808 and -0.32602.\nAnswer: -64759808.32602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2273, 2261, 2249, 2237, 2225?\nAnswer: 2213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/10752 and 23\/4980672?\nAnswer: 278917632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1325 - 1276. What is the remainder when 145 is divided by s?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**3 + 2*g - 9. Let z be y(-4). Suppose -z*j - 1563 = -50*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -8*l - 6. Let a(s) = -8*s - 7. Give -6*a(x) + 5*g(x).\nAnswer: 8*x + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d + 3 - 3)*(31 + 20 - 22) - 3*d - d + 3*d + (-2*d + 4*d - 6*d)*(-4 + 2 + 3) + 2*d + 0*d - 3*d + 2*d - 2*d + 2*d.\nAnswer: -33*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 11242313 (base 5) in base 8?\nAnswer: 310661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 11 = 2*b - 6*y, -4*b + 5*y - 17 = 0. Let c = 5 + 2. Solve -b*s + 3 + c = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00002606506 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-91 + 91 + 86*v)*(2*v + v + 0*v)*(-7*v + 1 - 1) - 2*v**2 + 3*v**3 + 5*v**2 - 4*v**2.\nAnswer: -1803*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 70122 divided by -2262?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 71*f**3 - 353*f**2 - 8*f + 5. Let k be l(5). Suppose -2*s + 12 = s. Suppose q + q = -3*j, j + 5*q = 0. Solve j = r - s*r - k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 90*a*n**2 - 2*a*n - 33*a + 329*n**2 - 52*n wrt n.\nAnswer: 180*a + 658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -34043 (base 6) to base 2\nAnswer: -1001010101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x**2 - 9*x**2 + 6*x**2 - 8*x)*((5*x + 0*x - 3*x)*(1 + 3 - 5) + (-7*x + 13*x - 13*x)*(1 - 7 + 4) + (-2*x + x - x)*(-2 + 1 + 2) + x + 2*x - 4*x).\nAnswer: -9*x**3 - 72*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2097089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-92)\/20 - (-42)\/70.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 4*v**2. Let x be p(-8). Calculate the common denominator of 3\/(3*4)*9 and 1\/2*x\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/1 - (-33)\/(-15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1585 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*u + 6*u**2 - 5*u**4 - 4 + 4*u**4 - 4 - 3*u + u**3 - 2*u**3 in the form k*u**4 + h*u**2 + z*u + d + x*u**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 - 9*t**2 + 35*t - 97. Let q be g(6). Solve -11*z = -q*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*s + 2*s**2 - 1 - 3*s + 19*s - 7*s**2 to the form b*s + h + a*s**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 206 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.0031?  (a) -1\/5  (b) -4  (c) -0.5  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-24 - 3 - 77)*(1 - 2*r - 1 + (3 + 2*r - 3)*(-3 - 3 + 4) + 0*r + 3*r - 4*r) to v*r + x and give v.\nAnswer: 728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 21\/((-5)\/2*(-30)\/25). Suppose 46 = w*y - 171. What is the highest common divisor of y and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -1905*p**2. Let k(v) = 2*v**2. What is k(f(q))?\nAnswer: 7258050*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.0154 to 2 decimal places.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes before 10:50 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.307 + 1.207. Let d be ((-18)\/(-24))\/(-2*5\/8). What is the closest to -1 in j, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w + 7. Let i be j(11). Suppose -4*m + 2*q + i = -0*m, 4*m = -2*q + 14. Suppose -u + 0*t + 25 = 3*t, 4*t = -m*u + 116. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -5, -281, -3, -2, 4 in descending order.\nAnswer: 4, -2, -3, -5, -6, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4172*n**2*o**3 + n**2*o**2*x - 4*n**2 - 4*n*o**2 + 3*n*o*x - 27*o**3*x**3 - 10*o**2*x**3 wrt o?\nAnswer: -25032*n**2 - 162*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 2*x = -2*g, 2*x = 2*g. Let z = -72895 - -72907. Solve g = 4*n + z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49897365 a multiple of 223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the second derivative of 19\/30*v**6 + 0*v**4 + 0 - 9\/2*v**2 + 0*v**5 + 0*v**3 + 22*v. What is the first derivative of x(u) wrt u?\nAnswer: 76*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -200264847*b**3 - 174*b**2 + 607*b - 368 wrt b?\nAnswer: -1201589082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57939?\nAnswer: 3, 7, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 16 = 4*z, 8*v + 4*z = 3*v - 7. Let x be (v - 2) + -4*3. Let s = 46 + x. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d**4 + 192*d**3 - 372*d**2 + 184*d = 0. Calculate d.\nAnswer: 0, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 142071665.\nAnswer: 5, 28414333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 110549 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*n - 18 = 6*n. Suppose 4*z - n = 14. Suppose z*f + 2698 = -2*d - 10750, 3*f = d - 8071. What is f rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 2*w + 5. Let l be y(-3). Sort l, 0, -2 in descending order.\nAnswer: 0, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -27 - -24?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3*-3*(-5)\/9. Let u(x) = x - 5. Let l be u(7). Let i(n) = 0 + n**l - k*n - 3 + 0. Determine i(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 303\/5 + -1 + 44\/110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 16, 0.4, 33288, 1\/4 in increasing order.\nAnswer: 1\/4, 0.4, 16, 33288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 411 divided by 6?\nAnswer: 137\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5)\/(-30) - 165\/18. Suppose 0 = 5*v - 103 + 13. What is the lowest common multiple of v and (-2)\/9 + (-92)\/j?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the first derivative of -1 + 0*q**2 + 2*q - 1\/3*q**3 + 1\/4*q**4. Let h be (-12)\/(-42) + (-2)\/7. Calculate d(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 3*r - 33 = 0, 45 = 5*d - r - 18. What is the highest common divisor of d and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 3 = -o. Let s be 10\/55 + 524\/22. Suppose -21*y = -19*y - s. Put y, o, 4 in decreasing order.\nAnswer: y, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 4, e: 7}. What is prob of sequence ree?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/(-4)*2)\/(16688\/(-123968))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(4752))\/sqrt(11).\nAnswer: 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -0*a - 64. Let v be (4 + -3 - 2)\/1. Let o = a - v. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**2 + 2*u - 4. Suppose 0 = 3*f + 15 - 3. Let h be x(f). Suppose -h = -2*v - 0*v. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 3 = -7. Let c be ((-336)\/(-2940))\/((-4)\/30). Put c, d, 4 in increasing order.\nAnswer: d, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes after 5:36 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 8, 1, 5, -8, -4 in ascending order.\nAnswer: -8, -4, -1, 1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*f - 53*f**2 - 17*f**2 - 3*f + 2*f**2 as l*f**2 + u + k*f and give l.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 divided by 60336659.\nAnswer: -6\/60336659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 51948970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1369*h**3 + 65416*h**2 + 14192*h + 768.\nAnswer: -(h - 48)*(37*h + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 20 = -5*s - 5, -s + 5 = g. Let q be (-3)\/(-30)*g + (-1)\/2. Which is smaller: q or 3\/8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -819, -3681, -6535, -9381?\n\"Answer: 4*f**2 - 2874*f + 2051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57*b - 102 = 468 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 212200 + -1222220?\nAnswer: -1010020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lmwlwliilwlllltltn. Give prob of sequence tmiw.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -12 + 532?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.7 and 5.17752.\nAnswer: 8.801784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*n**3 + n**3 + n**3)*(-2 - 1 - 7 + 1 + 0 - 3 + (2 - 3 + 0)*(1 + 2 - 4)) + n**3 - 6*n**3 - 63*n**3 to t + l*n**2 + d*n + x*n**3 and give x.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 157006\/1717 or 90?\nAnswer: 157006\/1717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 72\/22*1377519\/(-38532)?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33 - 9393*o + 18797*o - 9406*o + 33.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-14)\/49 - (-2004)\/7. Suppose -4*r = -3*r + 3*u - h, 3*u = 4*r - 1084. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1013144 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56878*r**2 + 12*r**3 + 8*r + 3*r - 56883*r**2.\nAnswer: 12*r**3 - 5*r**2 + 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v + 27. Let d be z(-6). Let b = d - 10. Is 21 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 626766 rounded to the nearest 1000?\nAnswer: 627000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s + 6 = 1, -4 = 3*f + s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wmr when three letters picked without replacement from {l: 3, m: 1, r: 6, o: 1, w: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**3 + 9*l**2 - 13*l - 12. Determine f(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:03 AM and 2:30 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 7) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -141*r + 178*r**3 - 52*r - 53*r**3 + 197*r.\nAnswer: 125*r**3 + 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 16*x**4 + 15*x**4 + 4*x + 9*x**4 wrt x?\nAnswer: 480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33679 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 1309*p - 6. Is s(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -202*q**2 - 1049*q + 2. Give k(-5).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/4 and 158\/20 - 1\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 466 = -6*s + 4*s. Let f = s - -409. Suppose 0 = -2*r - 131 + 163. Calculate the highest common divisor of r and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r + 9. Let k(d) = -d**3 - 9*d - 49. Let b be k(-3). Let m(t) = 4. Determine b*m(p) - 2*h(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175)*-2*-3 - ((sqrt(175) + 1)**2 + -2)) + -5 + sqrt(28)\/(6*-2*sqrt(4)) + 2.\nAnswer: -177 + 239*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((20\/165)\/(816\/374))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(0 + (-2 + 0 + sqrt(171))**2).\nAnswer: -60*sqrt(19) + 875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -120450007 - -1?\nAnswer: -120450006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -3 + (37 + -38 - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aeeeaueaggegaea. What is prob of sequence ua?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 117*a**3 - 318*a**3 - 2*a**2 + 2*a**2 + 88*a**3.\nAnswer: -113*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzhzzzzzzzzzzzzzzz?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2225 is divided by 561?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -59, 5, -2, -251 in ascending order.\nAnswer: -251, -59, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 46 - 30. Let p(h) = 13 - w - 1 - 5*h. Give p(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.94 + 0.06. Let p = 0.01 + 0.29. Which is the third biggest value?  (a) -1  (b) f  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27271.62 nanograms to micrograms.\nAnswer: 27.27162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 8*s - 9. What is the tens digit of r(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -67226.99802862 + 67227. What is o rounded to five decimal places?\nAnswer: 0.00197","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 2949*t**2 - 286051*t - 196. Determine q(97).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkgiggkggggik. Give prob of sequence kik.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 65394 and 378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 280*u**3 + 637*u**3 - 110*u**3 + (0*u**2 + 2*u**2 - u**2)*(2*u - 3 + 3).\nAnswer: 809*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.1, -0.4, 4, -10, 0.2, -128?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and 488.7711.\nAnswer: 977.5422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8.4 - -8. Suppose 0 = -4*i - 20. Which is the second biggest value?  (a) h  (b) -0.5  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-7)\/(-7)*(42220\/110 + (-4)\/(-22)) is divided by 89?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 386 + 1084 = 15*r. What is the remainder when r is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1123526438 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -4744, -4750, -4758, -4768, -4780, -4794?\n\"Answer: -j**2 - 3*j - 4740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nzmzm. Give prob of picking 2 m and 2 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 10165656, 20331307, 30496958?\n\"Answer: 10165651*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/13 in -3, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 22 and 2189?\nAnswer: 4378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-133)\/(-95) - 1\/(-10))\/((-8)\/48)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 4*n = -12, 6*n - 5*n - 3 = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-33)\/6 - -7)*(-20)\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3 + 4 - 7*z + 21*z + 6*z wrt z?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -150 (base 7) to base 2.\nAnswer: -1010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 14 + 17)*(2 + 3*b - 2) as x*b + s and give x.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 4*t + 6. Let z be s(9). Suppose 0 = 3*q - 2*v + 25, q - 3*v + z = -4*q. What is the units digit of -1 - -1 - (q - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (12\/(-22))\/(183\/(-1342))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rmggrmtregh. Give prob of picking 1 t and 1 r.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13138755 is divided by 3196?\nAnswer: 3195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 60 is divided by 29.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1bb43 (base 15) to base 13.\nAnswer: -32133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 + 6*t. Let b(p) = p. Let z(s) = -4*b(s) + g(s). Let x be z(0). Let u(m) = m**2 + 53. Is u(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -142 - 22 = 33*i + 298 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -2*m - 15. Let d be h(-7). Suppose -k - 75 = 2*k. Let t be k\/(-5)*d\/(-5). Which is greater: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j**3 - 35*j**2 + 4. Suppose 247*o - 223*o = 840. Let m be i(o). Solve 1 = 3*c + b, -m*b + 2 + 2 = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 0 + 58 + -46 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-16)\/(-2) - (6 + -4). Calculate the common denominator of 95\/4 and 49\/(-10)*v\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g = -q - 1, -35*g + 40*g + 3 = -4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15 - 9. What is the remainder when 10 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (2*sqrt(720) + 0)**2*-3*-3 + (3 + (4 + sqrt(720) + 1)**2)*-1.\nAnswer: -120*sqrt(5) + 25177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 1 r, and 1 h when three letters picked without replacement from ssrssrrsirhsshs.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:57 PM and 12:00 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the second derivative of 0 - 16*g + 1\/72*g**4 - 1\/9*g**3 + 1\/4*g**2. Factor b(f).\nAnswer: (f - 3)*(f - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12760 - 4339. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-10 - -6) + 25\/7. Which is the closest to -0.1?  (a) 4  (b) i  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -68790000 to the nearest one million.\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1385.99998794 - -1386. What is i rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the third derivative of -w**4\/24 + 3*w**2. Let h(i) = -i**2 - 3*i + 1. Suppose 3*b + 14 = 2*g + 3, -3*g = -3*b - 12. Determine g*h(t) - 5*v(t).\nAnswer: -t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(500) + 5 + sqrt(500) + -1)*-3 + 5 + sqrt(500) + sqrt(500) + (sqrt(500) - -1*sqrt(500)) + 1)**2*6*-6.\nAnswer: -73296 - 8640*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-574857)\/(-235) + 4\/5. Suppose -k = -g + 2*k + x, 4926 = 2*g + 2*k. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*z + 31*z + 2 = -5*g, 0*g - 4 = -2*z - 3*g for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (864\/28)\/(9\/42). Calculate the greatest common divisor of 16 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/7254 and -73\/123?\nAnswer: 297414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2\/2 - 509*z - 16800.\nAnswer: (z - 1050)*(z + 32)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-384)\/(-72))\/(2\/(-9)*-3). Solve 17 = 4*i - n - b, 0 = -2*i + 2*n + 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 337034, 337035, 337036, 337037, 337038, 337039?\n\"Answer: y + 337033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1744, 3230, 4722, 6220, 7724, 9234, 10750?\nAnswer: 12272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 - -28. Let x be (-1 - 1)*(1 - 31\/2). Let s = x - m. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 + 6*z**2 + 8*z. Let f be w(6). Suppose -h - f = 3*h. Is ((-64)\/h)\/(2\/6) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**4 - z**3 - z**2 + 8*z + 1. Let b(x) = -x**5 - x**4 + x**3 + x**2 - 1. Let s(a) = -b(a) - y(a). Find the second derivative of s(g) wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:21 PM and 12:10 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 18342297?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 8, -5, 71?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the third derivative of x**10\/12096 + x**9\/2016 + x**8\/896 + x**7\/1008 + 11*x**4\/12 + x**2. Let f(m) be the second derivative of s(m). Factor f(w).\nAnswer: 5*w**2*(w + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8\/(-14)*77\/(-22). Suppose w*m + 1 = 13. Is 14 a factor of m\/(-4)*(-138)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*q = -10*q - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*t - t - 2*t)*(-51 + 10 - 39 + t**2).\nAnswer: t**3 - 80*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 160 and 7929440.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:30 AM and 5:33 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -340\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = 5*c + z - 80, 5 = c - 2*z. Let b = -1 - -1. Suppose b = -3*s + 6 + c. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 124619471?\nAnswer: 124619471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 208123275?\nAnswer: 3, 5, 619, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(28)*4)\/((sqrt(32)*-2)\/sqrt(8)) - (sqrt(35) - (sqrt(315) + (sqrt(315)*2 + sqrt(315) - sqrt(315)) + sqrt(315))\/sqrt(9))\/(sqrt(80)*2 - sqrt(80)).\nAnswer: 19*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.419+903094112807\nAnswer: 903094112806.581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 11:57 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -0*j + j. Suppose j = -3*m - 5*o + 2, -3*m - 4*o - 11 = 0. Find the third derivative of -m*y + 3*y + 5*y**2 + y**5 wrt y.\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**13)\/o**5 assuming o is positive.\nAnswer: o**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**2 - 16*o - 1. Let c(j) = -j**2 - 8*j. Let m(f) = -5*c(f) + 2*v(f). Suppose -s - 6 = 0, -2*s + 8 = -2*h - 2*h. What are the prime factors of m(h)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 40*c**2 + 70*c - 262. What are the prime factors of g(4)?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**3 + 34*i**2 - 39*i + 100. List the prime factors of r(32).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -159, -1 in ascending order.\nAnswer: -159, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, a: 3, p: 6, x: 4, d: 1}. What is prob of sequence pp?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (30*14\/2184)\/(6*(-70)\/(-2688))?\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 + -a729?\nAnswer: -a724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (240\/50)\/12*15*-1*-4.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40985 is divided by 10166.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - 3) + 0 + -1 - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4c6 - e?\nAnswer: -4d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 5, o: 2, p: 1, s: 1, z: 1, h: 6}. Give prob of sequence hhpo.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 79*p**3 - p**2 - p - 1. Let x be z(-1). Let u = 52 - x. Let f = 69 - u. Round f to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -108\/73?  (a) 1\/1941  (b) 0  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14 is divided by (-4)\/(-8) + 1\/4*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 114 + -107. What is the third derivative of i*p - 6*p**3 - 7*p + 3*p**2 + 3*p**3 wrt p?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -73*c*d**4 - 3*c + 3224132*d**4 - d**2 - 124685724*d wrt d.\nAnswer: -1752*c*d + 77379168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 + 6)*(0 + 1). Let r(a) = a**3 - 3*a**2 - 3*a - 1. Let t be r(4). Suppose y + p + t - l = 0, 2*y - 20 = 2*p. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -34478, -34474, -34470?\n\"Answer: 4*c - 34482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1357182694 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: Convert 20 (base 5) to base 13.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -86 - -81. What is the closest to 0 in x, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 58 = -14. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(343) - (1*sqrt(343) + 5) - ((-2*sqrt(343) - sqrt(343))*2 + sqrt(343))) + -3 + -4*(-2 + sqrt(343))*3)**2.\nAnswer: -1568*sqrt(7) + 17063","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1056 is divided by 516?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/7, 17, 1\/2, 1, -1\/3, -19730?\nAnswer: -19730","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 18\/2 + 31963 + -9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, 0.0672595, 7\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes after 6:16 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the third derivative of -2647*m**6\/120 + 2*m**5\/5 - m**4\/8 - m**3\/6 + 5047*m**2. What is the third derivative of w(a) wrt a?\nAnswer: -15882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the second derivative of -671*j**3\/6 + 1223*j**2\/2 + 55*j - 8. Differentiate z(t) with respect to t.\nAnswer: -671","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, y: 1, m: 6, i: 4, j: 1, d: 4}. What is prob of sequence dy?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2605\/(-375) - -7)\/((-10)\/(-25))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 382379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2 + 1. Let b = -9 + 12. Let w(a) = 3 + 39*a**2 - 43*a**2 + a**b - 6. Calculate 5*o(s) + w(s).\nAnswer: s**3 + s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3813293623396.199909 - -3813299512350. Let p = -5888946 + i. Let n = p + -7.8. What is n rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 445, 5, -1 in decreasing order.\nAnswer: 445, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that 4*j**4 + 72*j**3 - 1020*j**2 - 18496*j = 0.\nAnswer: -17, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the first derivative of l**5\/60 - 3*l**4\/8 - 7*l**3\/3 + 3*l**2\/2 + 1. Let w(q) be the second derivative of y(q). What is the units digit of w(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 1\/87123?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2 + 6*v - 4. Let t be m(5). Suppose -p + 7 = -t. Let k be p\/(-70) + (-2)\/(-5). Is -3 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1420, 894, -508, -3224, -7692, -14350?\n\"Answer: -73*g**3 - 15*g + 1508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/((-20)\/(56\/(-14))). Solve x = -8*i + 6*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3\/7  (b) 0.5  (c) 135044\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -32 + 65\/2. Let u = 3.3 + -3.1. Which is the closest to 1?  (a) 2\/7  (b) s  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.248 and -0.2.\nAnswer: -0.2496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1182976 divided by 9242\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3230299 is divided by 138.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 956440 * 0.087.\nAnswer: 83210.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.35  (b) 3  (c) 2\/3  (d) -5  (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (1510*s - 1395*s + 2236*s + 2871*s)*(3*s + s - 5*s)*(-2 + 1 + 0) + 4 - 4 + 3*s**2 in the form u*s + x + y*s**2 and give y.\nAnswer: 5225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -8\/26751 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g - 2. Suppose 3*s - 5*o = 15, 6 = 3*s - 3*o + o. Let k be y(s). Let a be 2 + k + 0 - -56. Calculate the greatest common factor of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, l: 2, n: 1, z: 8, j: 2, k: 3}. What is prob of sequence jjzz?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 5*v**2 - 1. Let p be s(-1). Suppose -p*y + 1370 = -0*f - f, -4*y + 4*f + 1376 = 0. List the prime factors of y.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 586 = -566. Is 0 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/21)\/(27265\/30135).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 5 + 0 + sqrt(3) + 5*(sqrt(27) + sqrt(3)))**2.\nAnswer: 378*sqrt(3) + 1404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 149937 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 165 + -162. Let i(t) = -t + 2. Let r be i(0). Suppose 0 = j*w + r*b + 107 - 433, -b = -4. Is w a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 4*a**3 + 1132*a**2 + 5120*a + 5064. Let c(m) = -4*m**2 - 1. Let r(j) = -40*c(j) + s(j). Factor r(q).\nAnswer: 4*(q + 2)**2*(q + 319)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express q**4 - 2 - 24344*q**2 - 24339*q**2 + 48680*q**2 - 2*q + 95*q**3 as k*q**3 + v*q**4 + u + f*q + j*q**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 182 is divided by 181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 233939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m and 1 f when four letters picked without replacement from {l: 1, f: 4, m: 12}?\nAnswer: 44\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 4*d**2 + 3*d + 4. Let o be v(-1). Suppose -2*t - o = -t. Let p be 0 + 27 - (-2 - t). Solve 3*i - 3*x + 12 = 0, 3*i - 2*i + p = 5*x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 910009652 to the power of 1\/3, to the nearest integer?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -9567, -9635, -9761, -9957, -10235, -10607, -11085, -11681?\n\"Answer: -2*u**3 - 17*u**2 - 3*u - 9545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3712947.\nAnswer: 3, 7, 176807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79*q - 85*q - 30 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5987353 to the power of 1\/2, to the nearest integer?\nAnswer: 2447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, h: 2, g: 1, a: 1, z: 2}. Give prob of sequence au.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -2*v. Let j(i) = i - 10. Let t be j(9). Let h be p(t). Let n = h - 2. Which is the second biggest value?  (a) n  (b) 1  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*s + 10*s + 11*s = -7*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/(-6) + 1*5\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**2 - 26*k + 50. Let f be j(24). Suppose -3*z = 2 + 1. What is the units digit of ((-85)\/10)\/(z\/f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w = -4*t + 28, 3*w + 4*t + 123 - 157 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -39.0979 - 0.0021. Let a = -15.65 - t. Let h = -24 + a. Round h to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/2  (b) -67779.39  (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 + 10*s**2 + 11. Let m be i(-10). Let c(d) = -d**3 + 10*d**2 + 10*d + 11. Let g be c(m). Solve 4*h + w + 3 = g, -5*w + 3 + 3 = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15\/(-30)*(-10)\/(-120).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the first derivative of g**2 + 31*g + 534. Let z(n) = -n. Calculate z(c(i)).\nAnswer: -2*i - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8467*z**5 - 4054*z?\nAnswer: 169340*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 251772 and 80.\nAnswer: 5035440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -2*v**2 - 67*v - 35. Let o be j(-33). Let y = 5.6 - 6. Which is the closest to o?  (a) -0.1  (b) -0.5  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*r - 66 = 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 34 + 21 + 3*m + 3*m wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (288\/(1056\/33))\/((-3)\/((-3)\/(-11)))\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**(13\/2)\/k)\/k)**(-20)*k\/(k*k\/(k\/(k*(k\/(k**(1\/31)\/k))\/k)))*k**(-8\/13))**(2\/37) assuming k is positive.\nAnswer: k**(-74622\/14911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1\/2, -5, -0.3, -162\/145, 4.\nAnswer: -5, -4, -162\/145, -0.3, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1601, 6408, 14419, 25634?\nAnswer: 40053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -3*b + 5*b - 9, 0 = -c + 4*b + 17. Solve -c*p = -2 - 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the first derivative of 4*a**3\/3 + 3*a**2\/2 - 5*a + 12. Let x be k(-5). Let i = x + -30. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 145624 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 33769, 33764, 33759?\n\"Answer: -5*d + 33774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b + 1011*p - 1018*p - 156 = 0, b + 13*p + 116 = 0 for b.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes after 8:27 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 2*t - 8 = 0, 3*k - 2*t = -k + 42. Suppose -k + 6 = -2*n. Suppose -4*g = n*f - 108, -5*f + 215 = 2*g - 3*g. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 + 1 + -1 + 2. Let i be ((-24)\/(-10))\/l - 2. What is the closest to 0 in -4, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -58 - -47. Find the common denominator of (u\/55)\/((-18)\/685) and (335\/90)\/((-5)\/3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/b**(1\/4))**21)**(-8\/9) assuming b is positive.\nAnswer: b**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one tenth of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 248*r + 139*r - 1 + 157*r - 1 + 1 to the form j*r + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 529394 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -40034111 (base 5) in base 7?\nAnswer: -2451044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the third derivative of -t**3 + 0*t**5 + 0*t**4 + 0*t + 0 + 6*t**2 - 1\/24*t**6. Differentiate q(o) with respect to o.\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 125, -6 in descending order.\nAnswer: 125, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:13 AM and 4:32 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the first derivative of -66*c**5 + 53*c**5 - 45*c + 112 - 40*c. Find the first derivative of t(b) wrt b.\nAnswer: -260*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**3 - 19*x**2 - 22*x - 119. Calculate i(-10).\nAnswer: -799","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 193285*x**4 + 110418?\nAnswer: 773140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 439*t - 440*t + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15 + 22. Let s = g - -8. Let v = s + -11. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*s - 50 + 50)*(-13 - 5*s + 13) - s**2 - 8*s**2 - 2*s**2.\nAnswer: 39*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the second derivative of -q**7\/14 - q**6\/10 + 3*q**5\/20 + q**4\/4 - q - 2. Factor t(i).\nAnswer: -3*i**2*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(72)*3)\/sqrt(8)*3)\/(sqrt(3) + (-3*sqrt(75) + sqrt(75) - sqrt(3)) + sqrt(3) + (sqrt(3) - (sqrt(432) + -4*sqrt(432) + sqrt(432)))).\nAnswer: 9*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 d when two letters picked without replacement from {k: 1, e: 1, y: 1, f: 1, d: 1, g: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/6 and 77\/190761972.\nAnswer: 190761972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1590972 + -4480?\nAnswer: 1586492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -22 - (-12 + -5 + 3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 13*j + 43. Let p(h) = 2. Let i(w) = -m(w) + 4*p(w). Let z be i(-3). Solve 4 = 2*t - z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*k + 19*k + 44 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -6*w**2 + w + 4. Let b be ((-4)\/(-8))\/(2\/(-16)). Let p(f) = -5*f**2 + f + 2. Let h(t) = b*p(t) + 3*g(t). What is the second derivative of h(l) wrt l?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6424 (base 9) in base 3?\nAnswer: -20110211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 266.7188s in nanoseconds?\nAnswer: 266718800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2446 (base 13) to base 14.\nAnswer: -1c24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6272454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2, 0.3, -1\/69, 0.17, 1\/2, 21, -4?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 870179 is divided by 435080.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k + 0*b = -2*b + 18, 0 = -3*k - b - 19 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 20*m**2 + 26*m - 17. Calculate j(4).\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -j + 321, -o + 147 = 4*j + j. Let q = 43 + -25. What is the greatest common divisor of q and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 15) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 > 80\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {o: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kan when three letters picked without replacement from {a: 2, m: 5, p: 1, n: 1, k: 1}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 924253 and 420115.\nAnswer: 4621265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the third derivative of -6*l**2 + 0*l - 1\/18*l**4 + 1\/540*l**6 + 1\/6*l**3 + 0 + 1\/180*l**5. Let v(p) be the first derivative of r(p). Factor v(c).\nAnswer: 2*(c - 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 228*f + 6. Let u be z(-10). Let a be 2\/(-5) - u\/5785. Let o = -77423\/13884 + a. Calculate the common denominator of -69\/2 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.91 + 0.77\nAnswer: 1.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -200.08539 * -21.\nAnswer: 4201.79319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 76*g**3 + g**2 + 21*g - 20. Let v be k(5). What is v rounded to the nearest 100?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-728)\/(-3822))\/(1\/(-21))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-41)\/o**(-29))**(33\/5) assuming o is positive.\nAnswer: o**(-396\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s - 51. Let z be c(-9). Suppose -8*w - 2*b + 48 = -9*w, -5*b = -4*w - 207. Which is smaller: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -62742 (base 8) to base 9\nAnswer: -38700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 82185, 164584, 246983, 329382?\nAnswer: 411781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 312407*b**4 - 8*b**3*u + 24*u - 1033448 with respect to b.\nAnswer: 1249628*b**3 - 24*b**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -165 divided by 5\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 2*v = -20, 1 = 5*o + 3*v + 6. Suppose -4*f + 373 = -5*b, 4*f - o*b + 3*b = 391. List the prime factors of f.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 247*m**2 + 547*m + 3. List the prime factors of p(-6).\nAnswer: 3, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sjssaaas. Give prob of sequence aajs.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9.23 - 0.23. What is the fourth smallest value in 0.5, -4, z, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000593969024 to 7 decimal places.\nAnswer: 0.0000594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from {s: 4, u: 10, m: 2, r: 3}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 12 - 2580?\nAnswer: -2569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 15\/4 of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**2 - 2*y - 2. What is m(8)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h - 8 = 2*l, -10 - 4 = 5*h - 3*l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 - (-30)\/(-9))*-3. Suppose 5*f + x = 85. What is the remainder when f is divided by 1\/(-4) + (-33)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -1393*q + 4. Let j(w) = -8525*w. Determine x(j(h)).\nAnswer: 11875325*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:15 AM and 2:20 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t - t - t)*(-3 - 9 + 15) + 3 - 5*t + 3*t - 6.\nAnswer: -8*t - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8.4 - -8. Let x = 0.40000084 + a. Round x to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -2*y + 5. Let r(s) = -2*s - 3 + 5 + 3. Let w(v) = 6*g(v) - 5*r(v). Differentiate w(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + ((-5*(sqrt(3888) + 3) + 4)*-1)**2)*-6.\nAnswer: -583902 - 23760*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2462*w + 2471*w - 1493*w**4 - 4953*w + 13*w**2 wrt w?\nAnswer: -35832*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (23*i**2 - 23*i**2 - 3*i**3)*(-3 - 4 + 3)*(1 - 7 + 0 + (1 + 0 - 3)*(-2 + 6 - 2)) to the form q*i**3 + z*i**2 + a*i + u and give q.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 3*l + 6. Let b(d) = 469*d + 23. Let h(s) = -256*s - 13. Let q(p) = 6*b(p) + 11*h(p). What is -3*o(t) - 4*q(t)?\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -6\/115  (b) 3\/2  (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 273 divided by -219.\nAnswer: -91\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 350 times -0.15\nAnswer: -52.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1918370279?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/a**(-3)*a**(-3)\/a)\/(a\/(a*a*a\/(a*a**(1\/7)\/a)*a)*a)**29)**(-7\/6) assuming a is positive.\nAnswer: a**(-377\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11.3 + 11.2. Which is the nearest to i?  (a) -5  (b) 3  (c) -3\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49218000 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 3:12 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1886*i + 1840*i + 1632*i + 253*i - 828*i.\nAnswer: 4783*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 1. Let g(l) = -11*l + 13. Let j(w) = -g(w) + 5*i(w). Suppose 4*u = -0*u + 16. What is the units digit of j(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 410 + -5332\/13. Put t, -55, -0.5, -3\/5 in descending order.\nAnswer: t, -0.5, -3\/5, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28 (base 14) to base 4.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 70*c + 29*c - 224 + 26 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-126)\/84 - 39\/(-2). What is the remainder when (-2 + 338\/(-8))\/(u\/(-24)) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15*z**2 + 13*z**5 - 13*z**5 - 7*z**6 wrt z.\nAnswer: -840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49 = -6*n + 25 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/4 - (-25)\/(-4). Let p = 8 + o. Suppose -37 - 11 = -p*q. What is the remainder when 46 is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8952 = -18*q - 6*q. Let u = q - -749\/2. Which is the third smallest value?  (a) -0.08  (b) u  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3312 minus 0.2?\nAnswer: 3311.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s - 4*g - 9 - 3, 2*g = -2*s. Suppose -4*t - 89 = 5*w, -s*w - 4*t = -5*t + 67. Are w and -15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -158*h + 503*h**3 - 502*h**3 + 163*h.\nAnswer: h**3 + 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 230123663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -156*53026\nAnswer: -8272056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 2 - (-2 + (-12 - -16))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k - 50*k + 450 = 0 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 - 770\/(-91) - 81\/(-585).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3814*a - 3753*a + 1098 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -570, -2249, -5060, -9003, -14078, -20285, -27624?\nAnswer: -36095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.5 + -1.49999946. What is t rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 3*l**3 + 16*l**2 - 11*l - 9. Let a(n) = -n**3 - 8*n**2 + 6*n + 5. Let z(v) = 5*a(v) + 2*g(v). List the prime factors of z(7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 + (-35)\/20)\/((-7)\/(-24))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16530 - -24998. What are the prime factors of u?\nAnswer: 2, 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -4*b - 4. List the prime factors of a(-19).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*y = -15*y - 2*n + 65, 2*y - 2*n = 100. Calculate the lowest common multiple of 140 and y.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4698393*z**4 + 2*z**3 + z**2 - 626121760*z?\nAnswer: 56380716*z**2 + 12*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1216 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 17 = -8. Suppose -10 - u = -2*d + o, 0 = 5*d - 2*o - 88. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/4)\/(((-6)\/(-2))\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 1 + 5*w - 6*w - 1. Let t be d(0). Suppose t = -5*r + 6*r - 55. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.925 + 0.075. Which is the second biggest value?  (a) -4  (b) 0.2  (c) l  (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17213?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**2 - 4*g - 1. What is k(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -26*v - 63*v + 29*v in the form u*v + c and give u.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -38\/1754991 and -95\/45629766.\nAnswer: 45629766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(432)\/(sqrt(8)*-1))\/(sqrt(72)*1 - (sqrt(72) + (sqrt(72) + sqrt(72)*-3 - sqrt(72)))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*d - 11*d - 48 = 0. Suppose -5*k + 13*k = d. Determine f so that -3*f**2 + k*f - 45*f**3 - 3 + 3 + 46*f**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 3 - 18. Let s = -10 - t. Calculate the greatest common divisor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**2 + 402*o + 8726. Calculate r(-379).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -352 - -542. Suppose 2*z - 7*z = -j. Suppose 5*h - z - 2 = 0. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -23  (b) -4\/7  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00186667 rounded to 5 dps?\nAnswer: -0.00187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -9*m - 609. Let p(h) = h + 61. Calculate -21*p(u) - 2*y(u).\nAnswer: -3*u - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 + 3*h**2 - 15*h + 21. Let b be z(-6). Solve 3*y - 3 = 2*y + b*n, 0 = -n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and 21220?\nAnswer: 10610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -4*sqrt(68)\/sqrt(400).\nAnswer: -2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*a*j**3*w**2 + 71*a*j**3 + 2*a*j**2*w + 129*j**3*w**2 - 2*j*w**2 + j*w wrt w?\nAnswer: -16*a*j**3 + 258*j**3 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -288 - 146*x**2 + 6*x**4 + 2*x**4 - 3*x**4 + 28*x**3 + 336*x - 7*x**4.\nAnswer: -2*(x - 4)**2*(x - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k - 3*k = p + 29, 4*p + 16 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the third derivative of -r**2 + 0*r + 0*r**3 - 1\/24*r**4 + 0. Let b(y) = -8*y - 1. Let m = 2 + -1. Calculate m*b(h) - 6*v(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 3*l**2. Let t(z) = 34*z + 0 + 0 - 36*z. Give t(i(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/1 + (-10 - -10). Suppose 2*k - 11 - i = 0. Is 6 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1782\/(-304) - (-1)\/(-2). Let l = x - 219\/38. Calculate the common denominator of -37\/22 and l.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 439245137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 274 - -49. Let m = t - 322.99999292. Round m to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/12210 and -127\/36.\nAnswer: 73260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7263 and 351.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9377945nm to meters.\nAnswer: 0.0000000009377945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -413535 + 361?\nAnswer: -413144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11011011001 (base 2) to base 11.\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -21025 + 155032?\nAnswer: 134003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f = -10*f + 90. Let b be f\/((-225)\/(-18)) + (-7)\/(-5). Is b at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 23.04 + -23.2. Let i be 0\/(-2) + (-4)\/10. Let v = 1\/251 - 1007\/753. What is the second smallest value in h, v, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 3*j**2 + 16*j - 9. What is t(4)?\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2457, 5093, 7729?\nAnswer: 10365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -4  (b) 0.5  (c) -14\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.36 - -1.64. What is the smallest value in 2\/9, 3, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 26646 by -2.\nAnswer: -13323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -18 + 26 + -14 + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 6) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 315 divided by -5\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2233588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -8 - 17?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4\/39, 5\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -54, -4, -1\/8, -0.3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -195 by 39.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5734?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*w - 296 = 2*w + 4016. Which is the smallest value?  (a) -5  (b) 5  (c) -0.3  (d) -1  (e) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-12))**41)**(22\/3) assuming f is positive.\nAnswer: f**(-3608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 20 = -5*h, -4*h + 5 = -x - 1. Let m(q) = q**3 + 3*q**2 - 3*q + 5. Calculate the remainder when m(x) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 144*t**2 - 779 + 779 - 68*t**2 - 75*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*j**2 + 0*j**2 - 6*j**2 + (3 - 3 - 2*j)*(3 - 3 - j) + (0*j + 4*j - 2*j)*(7*j - 4*j - j) to l*j**2 + i + m*j and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = w - 7, -6*w + 23 = -4*w - 3*s. Suppose -w*x - 3 + 3 = 0. Solve x*p - 4*a = 5*p + 5, -25 = p - 4*a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*q - 8 = -24. Which is the closest to -2\/9?  (a) 0.1  (b) 1  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -2 + (-3 + 6 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -13 * -5.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 - 1033489?\nAnswer: -1033488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 3*k**3 + 4*k**2 - 2*k - 42. Let q(z) = 11*z**3 + 15*z**2 - 6*z - 130. Give -7*g(v) + 2*q(v).\nAnswer: v**3 + 2*v**2 + 2*v + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 95 - 365 = 0. Let i = -133 + 232. Let c = i + v. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - (0 + 2)) + -23. Let d be 2\/(-9) - 6\/h. Suppose 4*q - 255 = 5*f, d*f - 4*f - 260 = -4*q. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1fab67c4 - -4?\nAnswer: 1fab67c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:46 PM and 4:57 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -11, -6, 3, 13, -393, -3 in descending order.\nAnswer: 13, 3, 0, -3, -6, -11, -393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 54257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 46020 and 7670?\nAnswer: 46020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 82 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -238, -323, -410, -499, -590?\n\"Answer: -f**2 - 82*f - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000840893848 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7636274 - 5406031. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3513083 and 715536.\nAnswer: 505883952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-1\/5)*j)**(-1\/6)*(j*(j*j**(-1\/20)*j)\/j)**(1\/59))**(1\/49) assuming j is positive.\nAnswer: j**(-71\/34692)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 4*k**3 + 2*k**2 - k. Let f be a(1). Suppose -f = 4*l - 17. Suppose -l*d = -d - 14. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 137769*w**3 + 102881 wrt w?\nAnswer: 413307*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (8\/3 - 2)*3. Solve 2*w + 33 = 3*j + p*j, -w = 3*j - 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and 320144.\nAnswer: -1280576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 854299087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -4361 < -4290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.1613 + 7.3313. Let s = -0.17 + q. Let v = -2\/7 + -8\/21. Which is the closest to 0?  (a) v  (b) 1  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -98721559286022+10\nAnswer: -98721559286012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -240 + 165. What is the common denominator of 39\/14 and ((-10)\/p)\/((-4)\/(-96))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1201829596, -1201829598, -1201829600?\n\"Answer: -2*a - 1201829594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -11611 (base 10) to base 12\nAnswer: -6877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 126541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g + 14. Let q = 12 - 18. Let a = 16 - q. Suppose -3*z = -4*d - 21, 4*z - d - 6 = a. Determine i(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -i**2 + 2*i**3 + 36 + i**4 - 2*i - i**4 - 35 - 2*i**4 in the form w + c*i**2 + j*i + p*i**3 + q*i**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the second derivative of l**5\/4 + l**4\/12 - l**3\/2 + l**2\/2 - l. Let t be u(2). Let i = t + -27. Solve -i = k + 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(1210))\/sqrt(2) + (sqrt(5) - ((sqrt(20)\/sqrt(4) - sqrt(5)) + sqrt(5) + 3) - (sqrt(55)*-2)\/sqrt(11)))**2.\nAnswer: 120*sqrt(5) + 2009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 102*l - 521. What are the prime factors of q(10)?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 396 + -398. Let v(p) be the second derivative of 2*p**4\/3 + 2*p**3\/3 + 3*p**2\/2 + 2*p. What are the prime factors of v(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*x**3 + 16 + 5*x**2 - 17 - 8*x**2 - 6*x**3 in the form q*x**3 + b + p*x**2 + f*x and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -7, -3, 0 in ascending order.\nAnswer: -7, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3371 and 76?\nAnswer: 25.6196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12 + -88630.\nAnswer: -88642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4165128551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bhhbp. Give prob of sequence pbh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 201944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -140*m**2 + 28*m**3 + 26*m**2 - 13*m**3 - 16*m**3 - 235*m**2.\nAnswer: -m**3 - 349*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q + 3, p - 6*p + 2*q = -32. Let j = -1 + p. Suppose -3*r + a + 18 = -a, 4*r - 38 = -2*a. Calculate the remainder when r is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -j**3 + 0*j - 7 + 5*j - 5*j + 2*j**2 in the form g*j**3 + v*j + x*j**2 + m and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67\/(-804) - 7565467\/(-84).\nAnswer: 5, 18013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m + 13. Let y be p(10). Let v(t) = 6*t - 6. Let j be v(y). Solve 4*f - 4*c = -j, f + 3*c = c - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes after 7:42 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5\/(-10)*(0 - 6). Suppose 0 = 4*c - p*j + 7 + 16, 0 = -5*c - 4*j - 21. Let f(q) be the first derivative of -q**3\/3 - 3*q**2 - 5*q - 1. Give f(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.09 and 0.098.\nAnswer: 0.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -9*i**5\/5 - 2004*i**4\/5 + 8877*i**3\/5 + 5268*i**2\/5 - 8172*i = 0. What is i?\nAnswer: -227, -2, 0, 3, 10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.2, 112.9, -357\/8?\nAnswer: 112.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1043 - -1220?\nAnswer: 2313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 82*f**2 - 6*f + 129225. Let h(r) = -2*r. Give c(h(y)).\nAnswer: 328*y**2 + 12*y + 129225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4404*(-17)\/(-68) - 13 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 95199 divided by 6.\nAnswer: 31733\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**3 + 2868*w**2 - 1370904*w + 218430704.\nAnswer: -2*(w - 478)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*r + 140 = 8*r. Let p = r + 86. Let n be (-4)\/2 - 4*-5. Which is smaller: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 - -5. Let i(w) = -55 + 55 + 3*w**y. Let k(n) be the third derivative of n**5\/30 - 10*n**2. Determine i(k(o)).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-28)\/5 - (-6)\/(-15). Let j(m) = -m**2 - 7*m - 5. Calculate j(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -105988 by 109.\nAnswer: -105988\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -6 + 8\/(3*(-4)\/(-12)). What is the second smallest value in 3\/8, -1\/2, -14, o, -1\/12?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 7, h: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -4*a + 47. Let w be z(11). Factor -2\/3*h**2 + 0 + 0*h + 0*h**w + 2\/3*h**4.\nAnswer: 2*h**2*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 24  (b) -1  (c) -3\/4  (d) -69  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.3  (b) -2\/273  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oqh when three letters picked without replacement from {h: 7, q: 1, t: 8, l: 1, o: 2}.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, a: 1, o: 5, f: 3, r: 2, g: 1}. Give prob of picking 2 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60*w = 57*w + 1209. Let k(b) = -401*b - 1 + 2*b**2 - b**2 + w*b. What is k(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -2, 4, 8.\nAnswer: -2, 0, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -435.2 - -435. What is the second biggest value in -0.02, f, 2\/3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70 = 5*k + 4*a, -3*a = 5*k - 10 - 60. Suppose -3*o = -k*o - 55. Let u be (-360)\/(-75) + (-1)\/o. Solve 0 = -y + u*b + 28, 5*b + 13 = y + 3*b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -3*x**2 - 1. Let c(n) = -7*n**2 - 2. Let u(i) = 4*c(i) - 9*m(i). Let l(b) = 4. Let r(f) = 2. Let t(s) = -6*l(s) + 11*r(s). What is -t(h) - 3*u(h)?\nAnswer: 3*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -2\/3, -0.25, -5, 0.48, -3\/7, -1\/12?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 12\/(-2) + -4 + 1313. Suppose -3*h + 1309 = -k, 6*k - 11*k = 3*h - r. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 31\/5 of a kilogram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i**1\/i*i))**(1\/44)\/((i\/i**4)\/(i\/(((i*(i**4*i)\/i)\/i*i)\/i))))\/((((i\/(i\/i**(-1\/6)))\/i)\/i)\/i**4)**(-29) assuming i is positive.\nAnswer: i**(-1073\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/(k**(2\/11)*k)*(k\/(k**(6\/5)*k*k))\/k)**(-3))**(5\/12))**(-3\/13) assuming k is positive.\nAnswer: k**(-279\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 458.22 - 461. Let t = p - -2.7. Which is greater: t or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(8) + -1.\nAnswer: -6 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 238 and 378?\nAnswer: 6426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ogcwafa. Give prob of sequence wc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 108682661.\nAnswer: 59, 1842079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12723, -155, -3 in decreasing order.\nAnswer: 12723, -3, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -78984*w + 39488*w + 39485*w.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/2106 and 133\/102492.\nAnswer: 307476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - -7 - (20 - (-12 - -39))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*x - 176 = -6*x. Let h = -91 - x. Calculate the remainder when 13 is divided by (-150)\/(-25)*(-1)\/h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-33)\/(-9) - 2\/(-6). Suppose -q*z + 7 = -5. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**2 - 3632*p + 824464.\nAnswer: 4*(p - 454)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k - 1. Let x(n) = -2*n - 1. Let j(w) = -4*r(w) - x(w). What is the remainder when 65 is divided by j(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 217 a factor of 23767666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -85\/352 and -71\/64?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 9650*r. Let i be u(-2). What is i rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**3 + 78*i**2 - 19*i + 1492. Calculate r(78).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1323 - 0?\nAnswer: -1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5\/16  (b) -35\/4  (c) -1  (d) -52  (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 19*j**3 - j + 2. Let p be s(1). Suppose 2*f - p = -3*w, -4*f + 4*w = 8*w - 44. Solve 4*i - 5*g + 0 = -8, 4*g - f = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -11*w**2 + 6348*w + 44420. What is a(584)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 25\/4 of a milligram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the first derivative of 2 + 2*r + 1\/2*r**2. What is s(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.0241 - -27.0759. Let v = -27 + r. Sort -2, -0.02, v in decreasing order.\nAnswer: v, -0.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10 - 6. Suppose 5*c - 2*c = -v + 2, -2 = -h*c - v. Solve 0 = 2*i + 10 - c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*m**3 + 4 + 0*m**3 - 7*m**3 - 1 + m in the form d*m**3 + f*m + c + u*m**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -93*l + 129. Let g be i(-10). Suppose 15*w - 10*w + 2*b - g = 0, -b = 2*w - 424. What are the prime factors of w?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 80424 and -0.1599.\nAnswer: 80423.8401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*x**3 - 26 + 9*x**3 - 15*x**2 + 15*x**2 as f + p*x**2 + y*x + s*x**3 and give f.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 268, 235, 202, 169, 136?\n\"Answer: -33*h + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, k: 3, u: 12}. What is prob of sequence uqq?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.1 + 0. Let h = -11 - -14. Let k = h - 5. Which is the nearest to k?  (a) 4  (b) v  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(24) - sqrt(1536)) - sqrt(24) - sqrt(24))\/(-1*sqrt(48)).\nAnswer: -13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 - -11. Let h(q) = -q**3 + 3*q**2 - 1. Let x be h(m). Let b be (10 + -1)*(-3)\/18. Is x > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1.7, -2, -2\/3, 2, 4, 19, -157?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(306)\/(sqrt(45)\/sqrt(5)))\/sqrt(2) + -5 + -4)*6 + 5.\nAnswer: -49 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-4*sqrt(170)*-2 + sqrt(170))*-2)\/(-5*(sqrt(90) - (sqrt(90) - sqrt(90)*-1))*-2).\nAnswer: 9*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of k - 1. Suppose 0 = x + 175 - 173. Let h(q) = -2*q + 3. What is x*h(u) + 6*l(u)?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -111898*r + 111896*r = 30 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6940, -27820, -62660, -111460, -174220, -250940, -341620?\nAnswer: -446260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 31248090 to the nearest 100000.\nAnswer: 31200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16844 - -29283. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 55865991*m**3 + 23*m**2 - 247*m - 852?\nAnswer: 335195946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-1480)\/24*(38\/70 - 672\/588)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/4  (b) -3  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4303392.\nAnswer: 2, 3, 23, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 336 a factor of 27552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00077573182 rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the first derivative of 0*x - 1\/3*x**3 + 1 + 0*x**2. Let l(a) be the first derivative of -a**2 - 1. Give v(l(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 9:51 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) 36.18  (c) -0.4  (d) -1\/12  (e) 2\/3  (f) 107  (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00042 to five dps.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrperssfesrfspfep. What is prob of picking 2 f, 1 r, and 1 e?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 270337591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the second derivative of 43*g**4\/12 - 91*g. Let p(o) = 2*o. What is m(p(d))?\nAnswer: 172*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*y + 20*y + 23*y = 1620. Calculate the remainder when 1496 is divided by y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((2 - -3239) + 18 + -9)*-9464. What is r rounded to the nearest one million?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 7*n + 3. Let y(o) = 3*o + 2. Let l(d) = 2*p(d) - 5*y(d). Let u be l(-8). What is the tens digit of (6 + -3)*u*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/14)\/(((-644)\/23)\/196)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83020 is divided by 409.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 2 = -y, -y + 11 = -5*d + 3*y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 + 0. Let l = -421\/7 + 60. Which is the third smallest value?  (a) l  (b) -4  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 33\/(-9) - (-4)\/6. Let z be 0 + (-18)\/(v - -6). What is the units digit of -4*(3 + 45\/z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/(-8)*(-3)\/(117\/(-52))*-3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1025714175 - 1025714195.99999916. Let k = -0.28 + 21.28. Let q = k + r. What is q rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gggggggggbggvdvggvzd. What is prob of picking 1 d, 1 v, and 1 b?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 125849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the second derivative of -59*y**6\/6 - 245*y**2\/2 + 22*y - 2. What is the derivative of a(x) wrt x?\nAnswer: -1180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 780*q = 651*q - 4386 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.7 + 29.7. Let h = 22 - u. What is the nearest to -2 in -0.1, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 601 = -2*f - 4*x - 1627, 3*f - 3*x = -3306. Let q(y) = 190*y + 145. Let j be q(8). Let o = f + j. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -110*q - 579. Let l be a(-12). Suppose 158 = 4*m + g, 4*g - 57 = -4*m + 107. Calculate the greatest common divisor of l and m.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 - 3*h**2 - 3*h - 3. Let t be 2\/(((-30)\/6)\/(-10)). Give q(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -717 divided by -1616\nAnswer: 717\/1616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 3 - 6)*(0*v + 0*v + 4*v**3) - v**3 + v**3 - 2*v**3 + 4*v**3 - v**3 - v**3 - 2*v + 2*v - v**3 + 3*v**3 - v**3 - v**3 + (-1 + 1 + v**2)*(v + 1 - 1).\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -307334.5 plus 10.1?\nAnswer: -307324.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.038*-48796\nAnswer: 1854.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/(o*((o*o*(o\/o**(1\/11))\/o)\/o)\/o))\/o**(2\/7))**(2\/45) assuming o is positive.\nAnswer: o**(124\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 2*t**3 - 11*t**2 + 17*t - 187. What is the units digit of d(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, l: 2}. Give prob of sequence fll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -2*d**3 + d**2 + 5*d + 2. Let u(z) = z + 2. Suppose -20 = 3*m - 5. Let f be u(m). Let n be t(f). What is the highest common factor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -42*r - 1. List the prime factors of c(-1).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -7*n - 32. Let c be z(-5). Suppose 268 = c*o + 52. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 264 = -o. Suppose 262*l + 58 = o*l. What is the greatest common factor of 29 and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 26 - 25. Let w(o) = 36*o**2 - o + 1. Let u be w(v). Suppose 2 + u = 4*q + 2*y, 1 = -y. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-101)\/(-505))\/(1\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5535035?\nAnswer: 5, 11, 157, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 97 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes before 2:09 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 492160 and 1240?\nAnswer: 15256960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - 1 - (-19 + 10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -10001101 (base 2) in base 8?\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -2*v**3\/7 - 7890*v**2\/7 + 23684*v\/7 - 2256 = 0.\nAnswer: -3948, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -840 or -838?\nAnswer: -840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1708 = -4*g - 10*g. What is the remainder when 607 is divided by g?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -23 + 55. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 62282, 5.\nAnswer: -5, 5, 62282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t*(t*t**(-3))\/t*t)\/t)\/t)\/(t*t**(-1\/12))*t\/(((t*t*t*t\/t**(-2\/9)*t*t)\/t)\/t)*t\/t**1)**45 assuming t is positive.\nAnswer: t**(-1285\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(77)\/(-5*sqrt(7)).\nAnswer: -sqrt(11)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2448) + 1)*3 - sqrt(2448) - (sqrt(2448) + 1)*-1.\nAnswer: 4 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 35080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 62766845387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 29009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 392395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10 + 10. Do z and 2\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, 5, -9, 0.04 in ascending order.\nAnswer: -9, -5, -2, 0.04, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/b**(5\/3))\/b)**19)**6 assuming b is positive.\nAnswer: b**(-190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**3 - a**2 + a - 18. Does 29 divide x(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l**5 + 30780*l**4 + 46843820*l**3 - 1622274030*l**2 + 9538372175*l + 11207459250 = 0 for l.\nAnswer: -3095, -1, 9, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -410, -422, -442, -470?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**3 + 8*p**2 + 6*p - 5. Let w be b(-7). Let i(s) = -310*s + 310*s - 2*s**w. Let v(f) = -3*f + 2*f + 2*f. Calculate v(i(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in eleven quarters of a hour?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 + 11*h**2 + 2*h - 1. Let v be w(10). Let o be 2584\/v - (1 + (-9)\/7). Calculate the greatest common factor of 176 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 452 is divided by 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 8397 a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = l + 3*m, 4*m = -11*l + 8*l + 144. What is the greatest common divisor of 6 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/(-8) + 1\/(-4). Let q = -2 - k. Let d be (6\/(-10))\/(126\/2520)*1\/(-46). Which is greater: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 46\/497 and -7\/27400675.\nAnswer: 191804725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yfyfyyyy. What is prob of sequence fffy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -310*r + 543. Let y(h) = -104*h + 181. Suppose -121 = -126*o + 115*o. Let c(g) = o*y(g) - 4*k(g). Differentiate c(u) wrt u.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 441*r - 443*r = 18*l + 84, -l = 3*r - 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8857, -8846, -8849, -8878, -8945?\nAnswer: -9062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes before 12:22 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -11*g**4 - 7*g**4 + g**5 + 31*g**4 + (1 + g**3 - 1)*(-g**2 - 3*g**2 + 5*g**2).\nAnswer: 2*g**5 + 13*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**2 - 377. What is the remainder when 108 is divided by g(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 803490 by -53566.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -426, 214, 852, 1494, 2146, 2814?\nAnswer: 3504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.01 + -105.01. Let z = -92 - y. Let v be 0 - (0 + (-2)\/(-2)). Which is bigger: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**2 + 3*b + 1. Let j(f) = f**2 - 5*f - 28. Let n(h) = 2*h**2 - 18*h - 23. Let q be n(10). Let d be j(q). Calculate i(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*g**4 + 3*g**3 + 2797187*g**2 + 3103065 wrt g.\nAnswer: -8*g**3 + 9*g**2 + 5594374*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -5*f**3 + 2*f**2 + f. Let x be v(-1). Let r(z) = -107 + 367 - 260 + z - 6*z + z**2. Determine r(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 83640268 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 76 = 4*w, -5*w + 0*w = 25. Let a be (-17 - j)*(4 - 1). Is a equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -20*w**3 + 21*w**2 - 17*w + 5. Let t(v) = -3*v**2 - 1. Let h(s) = -k(s) - 7*t(s). Let d(b) = -7*b**3 - 6*b - 1. Calculate 11*d(n) + 4*h(n).\nAnswer: 3*n**3 + 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**2 - 9*b - 1. Suppose 1 = -2*y + 7. What is the remainder when l(10) is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 177, 4, -87043 in ascending order.\nAnswer: -87043, 4, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = s - 227, 0*f - 681 = -3*s + f. Calculate the remainder when s is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36277688?\nAnswer: 2, 19, 31, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -45*d + 372. Let z be l(8). What is the greatest common divisor of z and 426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 138 is divided by 56?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, -5, 3, 8, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 93*x**2 + 275*x**2 + 5*x - 5*x - 8*x - 3 + 10*x to c + n*x**2 + a*x and give n.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*m + 67*m + 5*m + 29150 = 0. Is -275 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 5, r: 15}. What is prob of sequence iiir?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 49507300 rounded to the nearest 100000?\nAnswer: 49500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -154496 divided by 7?\nAnswer: -154496\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((23 - 23 - 5*x)*(4*x + 0*x - 3*x) + 4*x**2 + 3*x**2 - 3*x**2)*(-11*x + 0*x**2 + 19*x - x**2).\nAnswer: x**4 - 8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the first derivative of 4*c**3\/3 + 1804. Let n(d) = 9*d. What is l(n(t))?\nAnswer: 324*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**3 + 8*u**2 + 2*u - 39. Calculate n(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-5)\/(-3))\/((-1)\/(-3)). Let v(g) be the first derivative of g**2 - g - 2. Let n be v(3). Solve 5*p = -3*h - n, -h + 5*h = -c*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3) + (sqrt(3) - (sqrt(3) + (sqrt(108) - sqrt(3))**2 + 5)) + sqrt(3) + 3.\nAnswer: -77 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 104 and 248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -10*y + 181. Let t be w(17). Suppose t*d - 1211 = 10*d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*b**2 - 3*b**2 + 19 + 9*b**2 - 19 - 726*b.\nAnswer: 3*b**2 - 726*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ptptptlttppppl. What is prob of picking 1 p and 1 l?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1235 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 647518, 647515, 647510, 647503, 647494, 647483, 647470?\n\"Answer: -t**2 + 647519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k + 3*k + 0*k + (-4 + 0 - 2)*(0*k - 2*k + k).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77388 is divided by 2314.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -188*v*y**4 + 5*v*y - 3*v + 928 wrt y?\nAnswer: -752*v*y**3 + 5*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/24*(0 - 4)*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.6191+-0.1839\nAnswer: 0.4352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*c - 39*c + 9 = 0, -x + 5*c = 14 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/90 and -41\/5580?\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 + f**2. Let s(y) = -3*y**2 + 8*y - 6. Let v(j) = -2*q(j) + s(j). Let z be v(2). Solve -z*o + 5 = -5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 250336.\nAnswer: 2, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 34c797 + -2?\nAnswer: 34c795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1432*u + d - 41530, 5*u + 675 = -5*d + 540 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(512) + 0 + -5 + 1)**2.\nAnswer: -512*sqrt(2) + 2112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from slszwsw. What is prob of picking 1 l and 1 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-40)\/75)\/((8\/6)\/((-895)\/537))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-11\/5)\/(c**12*c))\/(c**(-2\/5)*c*c**10))**28 assuming c is positive.\nAnswer: c**(-3612\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6429*y - 25843*y + 6420*y + 6424*y + 6572*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -31*k**5 - 5*k**2 - 66*k - 2. Let g(c) = 46*c**5 + 8*c**2 + 99*c + 3. Let y(h) = -8*d(h) - 5*g(h). What is the second derivative of y(q) wrt q?\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -3*k + 2. Let l(m) = -6*m + 4. Let n be -6 + (13 + -13)\/(-14). What is n*l(a) + 10*q(a)?\nAnswer: 6*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/4 and -1\/34819?\nAnswer: 139276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, d: 2, f: 2}. What is prob of picking 1 f, 1 k, and 1 d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -29787 or -29769?\nAnswer: -29787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2318742*c**4*q + 2*c**2*q - 418120*c**2 + 2*c*q + 2*q wrt c.\nAnswer: -55649808*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -7*k**2 - 16*k + 34. Give y(-5).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6044 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 116225192 a multiple of 4024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -2*r**3\/11 - 700*r**2\/11 - 61944*r\/11 - 121104\/11 = 0.\nAnswer: -174, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 282 is divided by 132?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 16*a - 175. Is i(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -340\/3, -1, -7, -1\/3.\nAnswer: -340\/3, -7, -1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/20?  (a) 4\/11  (b) 0.085  (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 + 1 = 5*u. Which is the nearest to 2?  (a) -4  (b) 5  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -j + 2*r, 0 = 224158*j - 224163*j + 3*r + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:23 AM and 7:57 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**3 + 4*k**2 + 8*k - 7. Let s be c(5). Suppose 0 = 3*b - s*b + 15. Suppose 0 = b*a - 5 - 4. What is the highest common factor of a and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 50.18 + -0.18. Let p = f + -50.023. Round p to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**3 - 12*w**2 + 7*w - 79. Let j be b(12). Suppose 2*l - 3 = 3. Put 4, j, l, 6 in descending order.\nAnswer: 6, j, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63*r - 14*r = 40121 + 31468. Calculate the lowest common multiple of 4 and r.\nAnswer: 5844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kcoocccrs. Give prob of sequence sk.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - (-64)\/34) + ((-77952)\/(-4284))\/(-4)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 109624 - 8541. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-95 + 103)\/((-4)\/(-2181))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -479258\/15575 + -1\/2225. Let t = 172\/7 + c. What is the common denominator of -38 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2516479846?\nAnswer: 2, 30727, 40949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add -37 and 21938571719.98.\nAnswer: 21938571682.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -1256*p**2 - 108*p + 108*p as o + y*p**2 + k*p and give y.\nAnswer: -1256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -3*h - 5*h**3 + 7*h**2 + 4*h**3 + h. Let t(y) = y**3. Suppose 0 = -9*j + 14*j - 20. Let m(l) = j*t(l) - r(l). Solve m(z) = 0 for z.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7104\/523 < -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-102)\/561 + 828\/(-44). Let m(x) = -6*x**2 - 24*x - 5. Let w(a) = -a**2 + a + 1. Let r(o) = m(o) - 5*w(o). What is the hundreds digit of r(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6.02 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 + (15 - -22) - (-4 + 25)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 + 4. Let i(p) = -p**3 + 22*p**2 - 20*p - 15. Let j be i(21). Factor -y**o + 5*y**2 + 0*y**2 + 2*y - j*y.\nAnswer: 4*y*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 2*m**3 + 2*m**2 + 4*m - 8. Let v(k) = k**3 - k**2 + k. Let y(d) = 3*v(d) - x(d). Let g be y(5). Find the first derivative of -1 - g - 1 + 3*s wrt s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/(-7)*(2 - -1)\/3. Let m*s**4 - 6\/7*s**3 + 0 - 2\/7*s**5 + 0*s + 2\/7*s**2 = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30014405.\nAnswer: 5, 6002881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4075*p + 4077*p = w - 9, -2*p = -6*w + 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (48740\/(-34118))\/((-15)\/(-6))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 12\/13, -6, -2\/39, -468, 1\/2 in increasing order.\nAnswer: -468, -6, -2\/39, 1\/2, 12\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-37)\/(4255\/46))\/(1\/75)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 90806 (base 10) to base 15\nAnswer: 1bd8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (318\/(-2014))\/((-12)\/57).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 547 is divided by 112.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 180 and 80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -6*(3\/15)\/(12\/(-218870)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48248 (base 13) in base 16?\nAnswer: 2047a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -622 - 278 = 90*g. Let z(y) be the third derivative of -y**4\/12 - 8*y**3\/3 - y**2. Let a be z(g). Solve a*x = 2*p + p - 12, 3*p = -4*x - 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3*13\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -157*q - 4 = -159*q. Let x(r) = 2*r**2 - 6*r - 4. Let m be x(6). Suppose q*p + m = 4*p. Calculate the smallest common multiple of p and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 291213?\nAnswer: 3, 13, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**3 + 4*n**2 - 3*n - 4. Let f = 0 - 4. What is the least common multiple of 4 and o(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(1900) + 2*sqrt(1900)) + (0 + sqrt(1900))*-1)**2 + (1*((sqrt(209) - -2*sqrt(209)) + sqrt(209)))\/(5*sqrt(44)\/sqrt(4)).\nAnswer: 4*sqrt(19)\/5 + 372400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 4*z. Let g(c) be the third derivative of -11*c**4\/12 - 20*c**2. Calculate g(h(m)).\nAnswer: -88*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*1*(-3*(sqrt(152) - (2*sqrt(152) + sqrt(152) - sqrt(152))) + -1*(sqrt(152) + sqrt(152)*-2 - sqrt(152)))\/(2*sqrt(200) + sqrt(800)*2 + sqrt(800)).\nAnswer: 5*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 770*i**3*q**3 + 616799*i**3 + 21*q**3 + 2*q wrt q.\nAnswer: 2310*i**3*q**2 + 63*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.38?  (a) -2\/119  (b) -8  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**3 + 3*t**2 - 4*t. Let l(m) = -m**2 - 6*m + 3. Let h be l(-7). Let v = h - -7. Give i(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j**4 - 354*j**3 + 6033*j**2 + 6384*j = 0.\nAnswer: -133, -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-1 + ((2*sqrt(1539) - sqrt(1539))*-6 + 3 - (1*(sqrt(1539) + 2*sqrt(1539)) + sqrt(1539)*-1 + -5)))**2 + 0.\nAnswer: -1008*sqrt(19) + 98545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14603?\nAnswer: 17, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:45 AM and 6:56 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.83336 rounded to one decimal place?\nAnswer: 10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -276*v**3 - 276*v**3 + 834*v**3 + 60*v**2 - 277*v**3.\nAnswer: 5*v**3 + 60*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/16 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuxxxlxxuxlxxixx. Give prob of sequence xi.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -17.75 * 1.6\nAnswer: -28.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13 - 14. Let w = q + 27.00088. What is w rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 609275496 divided by 4.\nAnswer: 152318874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6 - -1. Let z(f) be the second derivative of 5*f**3\/6 - 3*f**2\/2 + 28*f - 2. What is the tens digit of z(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.021 + 0.279. Let k = -180.98 - -178. Let f = k + -0.02. What is the nearest to -1\/4 in f, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 92533739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 19*i + 4. Let l(n) = 2*n - 2. Determine 4*l(y) + u(y).\nAnswer: 27*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*l**4 - 17*l**4 + 2*l**2 - 10*l + 13*l - 2*l to the form w*l**4 + k*l**3 + r*l**2 + d + b*l and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.454 times 0.3?\nAnswer: -0.1362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 5*l + x + 4*x, 4*l - 15 = -5*x. Suppose 0 = -2*v + w + 36, l*v + w + 2*w = 112. What is the greatest common divisor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:51 AM and 9:16 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 + 5757)*(185\/20 + -9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 6*z - 4940 = 0. Let w(t) = -494 - 2*t + z. Let s(q) = -17*q**2. What is s(w(r))?\nAnswer: -68*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 3*z + 511. Let c(m) = -5*m - 1022. Determine 4*c(k) + 7*l(k).\nAnswer: k - 511","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the second derivative of -j**5\/20 + j**4\/6 + j**3\/3 + 5*j**2\/2 + 7*j. Let a be l(0). Calculate the common denominator of 12\/19 and (8 - a)*14\/(-15).\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j = -2*w - 9, -3*j + 29*w = 32*w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 8\/(-20) + 6\/15. Sort -2, k, 2.\nAnswer: -2, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ymyzmawymbymmbb. What is prob of sequence ay?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - 2673467?\nAnswer: -2673461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1\/((-2)\/(-4)))\/(-17). Let y = 535 + -63. Let b = 473 - y. What is the fourth biggest value in x, 0.1, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3\/2  (b) -254  (c) -2  (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*m**5 + 32*m**4 + 3*m**4 - 2*m**5 + 2*m**5 + 0*m + 0*m + (-3*m + m + 3*m)*(4*m**4 - 2*m**4 - m**4).\nAnswer: 4*m**5 + 35*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 283, 913, 1963, 3433, 5323?\nAnswer: 7633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 13*j**2 - 6*j**3 - 2*j**2 - 6*j**3 + j - 19 + 11*j**3. Let f be q(11). Calculate the remainder when 39 is divided by ((-30)\/(-36))\/(2\/(-6))*f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43357 is divided by 148.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 28 - 36?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 53*c**2 + 32*c + 2. Let i(t) = -104*t**2 - 64*t - 4. Let y(m) = -4*i(m) - 7*z(m). What is the units digit of y(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 80039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**2 - 3*v - 1. Let o be a(3). Let y = 988.4 + -688. Let n = y - 300. What is the nearest to o in 0, 8, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7458028*q + 145*q**3 + 63*q**2 - 7458028*q to the form a*q + t*q**2 + j*q**3 + f and give j.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -176*o**2 + 50*o**2 - 698*o**2 + (-2*o + 4*o - 3*o)*(-2*o + 0*o - 3*o).\nAnswer: -819*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the first derivative of -o**4\/4 + 5*o**3\/3 - 3*o**2\/2 - 4*o - 2. Let g be x(4). Suppose g*t + t - 4 = 0. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3 - (-1 + 4)) + 238\/49. What is the nearest to 1 in 2\/15, 2, -2, p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (125860\/(-203))\/(80\/4)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 664231.\nAnswer: 293, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -251 + 223 = 4*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.223466 months to decades.\nAnswer: 0.01019555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -31a0 + a21?\nAnswer: -237b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3823743*x**2 + 5*x**3 + 3823758*x**2 - 138*x**3 - 7647501*x**2.\nAnswer: -133*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 88493788 rounded to the nearest one hundred thousand?\nAnswer: 88500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c*c\/(c*c*(c\/((c**(-7)*c)\/c))\/c)*(c*c**(-5))\/c*c)\/(c**(-11)\/(c*c**(1\/4)\/c)) assuming c is positive.\nAnswer: c**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**3\/5 + 406*f**2\/5 + 20584*f\/5 + 7912.\nAnswer: 2*(f + 2)*(f + 86)*(f + 115)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 11*r**2 - 7*r + 11. Let i(b) = 7*b**2 + b + 5. Let d(m) = 15*m**2 + 4*m + 10. Let g(a) = 2*d(a) - 5*i(a). Let n(w) = 7*g(w) + 3*x(w). What is n(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 306747 to the power of 1\/2, to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -3331, -3313, -3259, -3151, -2971, -2701?\n\"Answer: 3*r**3 - 3*r - 3331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 278453.2552 - -0.4\nAnswer: 278453.6552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*v**5 + 0*v**5 - 2*v**5 - v**4 - v**5 + v**4 + (1 - 1 - 1)*(-4*v**5 - 4*v**5 + 6*v**5) + 0*v**5 + 2*v**5 + 12*v**5.\nAnswer: 16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 377?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 23854156, 23854150, 23854144, 23854138?\n\"Answer: -6*t + 23854162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/25 + (-44)\/(-55)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5592748 >= 5592752?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the first derivative of -o**3\/18 - 2*o**2\/3 + 51*o\/2 - 2512. Factor i(u).\nAnswer: -(u - 9)*(u + 17)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 185275?\nAnswer: 5, 7411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12 - -44. Let i = -38 + w. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 3.7911\nAnswer: -3.7911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2263 divided by -12.\nAnswer: 2263\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 2*a**5 - 25*a**4\/2 + 13*a**3 - 5*a**2\/2 = 0?\nAnswer: 0, 1\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 - q. Let z(y) = 3*y**3 + 13*y**2 + y. What is -2*i(k) - 2*z(k)?\nAnswer: -4*k**3 - 26*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1316162 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -467631 + 467630.070039. Let i = -163 + 163.93. Let k = p + i. What is k rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the first derivative of -2*n**3\/3 + 210*n**2 - 418*n + 1369. Factor a(k).\nAnswer: -2*(k - 209)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-5 + sqrt(720) - sqrt(720)) + sqrt(720) + -2 + sqrt(720) + 1.\nAnswer: 4 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 2*x**2 - 2*x + 9. Let a be j(4). Suppose -34 = r - a. List the prime factors of -1*(r - (3 + 147)).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(1\/2*-20)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 1. Let j(b) = -4*b + 6. Let x = -15 + 14. Let d(q) = x*j(q) + 6*r(q). Let s(l) = -l**2. Give s(d(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*v + 5*v + 3*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 22.71 - 23. Let g = m - 1.07. Let t = g - -1.4. What is t rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1148241291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4 + 56\/10)\/(546\/45 + -12). Solve 91*i + m = 103*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 582, 5009, 17112, 40749, 79778, 138057, 219444?\n\"Answer: 643*m**3 - 20*m**2 - 14*m - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 0 + (3 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 260 = -5*p + 335. Suppose -36 = 2*o - 6*o. Calculate the greatest common divisor of o and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -329*o + 1085391 = 1069928 for o.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 7*n. Which is smaller: 2\/63 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-18)\/63)\/((-8)\/(-7) - 1). Let y = 0.02 + -0.05. Let g = y + -0.07. Which is greater: g or r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2598*w - 191*w**3 + 8481*w + 188*w**3.\nAnswer: -3*w**3 + 5883*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 52790 + -24838. Let o = 27048 + n. Round o to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.24186*0.5.\nAnswer: 0.12093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 6*t**2 - 5*t. Let l(a) = -2*a**2 + 2*a. Give -3*j(g) - 8*l(g).\nAnswer: -2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -12801*j. Let s(q) = -157*q. Let o(f) = -5*g(f) + 408*s(f). Let y(k) = 5*k. Give o(y(r)).\nAnswer: -255*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-14)\/(-6) + -3)*(-3)\/(-8). Let n = -65.95 - -66. Let v = 14 - 46\/3. What is the nearest to n in 5, v, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/2*y**2 + 18*y - 54.\nAnswer: -3*(y - 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7002974*w**4 - 5731418*w**2 wrt w.\nAnswer: -168071376*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-20\/9)*g**(-36) assuming g is positive.\nAnswer: g**(-344\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 21856 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 59 - 1 = 0. Suppose -28 = -2*z - g. Let x = 17 - z. What is the least common multiple of x and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13 + v + 3 - 12 - 9.\nAnswer: v - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(7) + sqrt(7) + (sqrt(7) - (sqrt(42)\/sqrt(6) + -2)) + sqrt(7).\nAnswer: 4 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a = -235 + 277. Sort -5, -3, -9, a in decreasing order.\nAnswer: a, -3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 484, -3, -8 in ascending order.\nAnswer: -8, -3, 484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h = 2*y - 1, -y + 1 = h - 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(1\/7)\/(v\/(v*v**(-4\/11)))*v*v**(6\/23)*v*v*v**(-2\/31)\/v assuming v is positive.\nAnswer: v**(108461\/54901)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**3\/2 - 2009*m**2\/2 + 42046*m + 43050.\nAnswer: -(m - 42)*(m + 1)*(m + 2050)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 5*q**2 + 82 - 141 + 59. Let a(o) be the second derivative of 0*o**2 + o - 1\/3*o**3 + 0. What is a(j(y))?\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 3*u**3 + 2*u**2 + u - 2. Let r be y(1). Is 1 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u + 0 + 0 = 0. Suppose u*h = -h - 783451. Let y = -273451 - h. What is y rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14522994391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 174 = 3*x, -5*d - 9*x + 10*x = -212. What is the remainder when 198 is divided by d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyvv when four letters picked without replacement from vvyy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o - 4*n - 28 = 0, 4*o - 3*n - 15 = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3013333 (base 4) to base 15.\nAnswer: -3bd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -1192 and -1192 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -1 - 11. Let y be 58\/(-70) - v\/15. Let r = 4 + -1. Sort -2\/9, r, y.\nAnswer: y, -2\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**3 - 578*q**2 + 60031*q - 59452.\nAnswer: -(q - 89)*(q - 1)*(q + 668)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 2*p - 2 + 2*p - 5*p - 6. What is the units digit of f(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*d - 22*d + 47*d + 191425 = 0. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 51, 5, -0.1, 14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 162 and 47826?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) -2  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 64 and 432?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4907*o - 2*g = 4910*o - 180, g - 1788 = -405*o - g for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/2 + 168\/(-36))*(-21 + 24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -327469, -326741, -326013, -325285?\n\"Answer: 728*v - 328197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -3 times 108889\nAnswer: -326667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 914*g**5 - 23*g**6 - 914*g**5 - 4*g**2 wrt g.\nAnswer: -2760*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -223, 3\/4, 1583\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -3*n + 2. Let l be 4\/5*355\/142. Sort l, n, 1, 4 in descending order.\nAnswer: 4, n, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15 + -23. Let l = t + 8.03. Let y = 5.03 - l. Put y, -3, 0.4 in descending order.\nAnswer: y, 0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 229 is divided by 60?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/7 or 93878\/97?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -666.8 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -211595?\nAnswer: 4\/211595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 16*f**2 - f - 1. Let l be m(1). Let h be 36\/l*49\/14. Solve -6*v + 15 = -v - 2*o, h = -v - 2*o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2180 divided by -1.\nAnswer: -2180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide (4\/2)\/(28\/182)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6692 = 4*t - 89*b + 87*b, -5*t + 8367 = -2*b. Calculate the highest common divisor of 5360 and t.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -2*k**3 - 4*k**2 + 16*k. Let j be r(-4). Which is smaller: 3\/68 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -1.2  (b) -7  (c) 0.5  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 3 = 2*x, 25*x - 28*x - 6 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.005006 rounded to 4 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3*-1*3\/27. Let f = 8 - 7.3. Let u = f - 0.8. Which is the closest to u?  (a) -0.4  (b) y  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 311*j**3 - j**2 + 32*j**3 + 256*j**3 + 3*j**2 - 7*j + 98*j**3 to a*j + u*j**3 + d + t*j**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c + 3. Let q be n(-3). Let d be 13\/(78\/(-18))*(-4)\/q. Solve 10 = -3*m - 5*o - 10, -3*m = -d*o - 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -384*g - 2157 + 612 = 3*v, -70*v + 66*v + 8 = -5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -21 - (17 + -13 - 11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((4224\/576)\/((-2)\/(10\/(-1))))\/(12\/18)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**2 + 10*r - 7. Let t be w(-11). Solve t = -2*x - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6.6 - 9. Let r = t + 2.1. Which is the closest to 0?  (a) -0.07  (b) -1\/2  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60798265?\nAnswer: 5, 11, 100493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.7599 * -0.201.\nAnswer: 0.3537399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6\/3211 - -132029\/202293. What is the common denominator of u and -11\/49?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**3 - 9*d**2 - d + 13. Let f be n(9). Suppose 0*o - 3 = 3*o, 71 = 5*b + f*o. Calculate the remainder when b is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-30)\/(-20) - 17\/2. Let v(y) = 5*y. Let m be v(-1). Let n = m - z. Solve -4*r + n*f - 22 = 0, -r = -4*f + 10 + 13 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -3*f + 12. Let s be q(5). Let x(z) = 2*z**2 + 3. Let p(h) = 3*h**2 + 4. Give s*p(b) + 4*x(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 29080504*o**3 - 928342*o**2 - 8*o?\nAnswer: 174483024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - 3*a = 9. Let d = a - -5. Suppose 5 = -g + 5*q + 15, -5*g = d*q - 77. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -13.05, 259, -1\/5?\nAnswer: 259","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {e: 1, g: 4, c: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uul when three letters picked without replacement from {u: 2, l: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes after 6:30 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9.1 - 8. Is z at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4701, 9388, 14065, 18732, 23389, 28036, 32673?\nAnswer: 37300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11267073?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 446323489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 283750797?\nAnswer: 3, 11, 47, 113, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 23 + 0*4\/36*3. Suppose -3*n - n - q = r, 4*n = -20. Let a be (-32)\/12*r\/60. What is the third smallest value in 3\/7, 2\/3, a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19550626?\nAnswer: 2, 9775313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -2*h + 2. Let j(d) = -2*d + 7. Let r be -2*((-3)\/1 - -5). Let f(z) = 3*z - 7. Let n(w) = r*j(w) - 5*f(w). Calculate -6*n(x) + 22*u(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the first derivative of 2*l**3\/3 + 5*l**2\/2 + 22*l + 3756. Give n(-6).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**3 + 8*w**2 + w - 15. Let j be x(-7). Let b = j - 25. Solve 5*z + 3 = -b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 5*y = 23, -5*a + 4*y + 22 + 4 = 0. Suppose -4*v = -2 - a. Let n be (-73)\/(-10)*v - (-2)\/5. Solve 5*u - 2*u = 3*g - n, 3*g = 2*u + 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(sqrt(143)*-1 - sqrt(143) - sqrt(143)) + (-1*sqrt(143) - sqrt(143))*-4 + sqrt(143))*1)\/(-1*-3*(-1*sqrt(11)*-1 + sqrt(11))).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/5 of a micrometer in nanometers?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2635?  (a) -2\/19  (b) -8\/2187  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4*(0 + -2 - -3). Let k(v) = 0*v**2 + v**2 + 5*v + 1 - 2*v**2. What is the remainder when 8 is divided by k(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8173193?\nAnswer: 7, 1167599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 13.30565ms in microseconds?\nAnswer: 13305.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 1 + (sqrt(500) - (sqrt(500) - sqrt(500)*4*-4))**2 + -3*(4*sqrt(500) + sqrt(500)) + sqrt(500).\nAnswer: -140*sqrt(5) + 128005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**2 - 1751337*c + 75301944.\nAnswer: 3*(c - 583736)*(c - 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 58*i**2 - 1. Let m = 113 + -90. Let u(v) = 19*v**2 + m*v**2 - 40*v**2. Determine o(u(a)).\nAnswer: 232*a**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -73 + 96. Suppose x = 14*l - 89. Let i(n) = -1. Let v(p) = p - 11. Let t(j) = -6*i(j) + v(j). Calculate t(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mupuxppump. Give prob of picking 1 p and 1 x.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.073068 * 3\nAnswer: -0.219204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1006\/8)\/(73\/(-292)). Let s = -500 - h. Suppose -4*k + 36 = -5*x - 7, x + 4*k - 1 = 0. Put 4, s, x in descending order.\nAnswer: 4, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/10 of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 68 in 0.3, -1\/3, -0.3, 5.408, 2\/3?\nAnswer: 5.408","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 5*h + j, -5*j - 27 = -7. Let g(v) = 61*v**3 + 2*v**2 - 1. Is g(h) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the second derivative of -b**7\/105 - b**5\/20 - 3*b**3\/2 + 9*b. Let k(i) be the second derivative of p(i). Find the second derivative of k(j) wrt j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17426 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/18 - 0) + (-836)\/198?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -50.84 - -50.84. Which is the fifth biggest value?  (a) -2\/87  (b) r  (c) -19\/4  (d) -3  (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -11, 5.82 in decreasing order.\nAnswer: 5.82, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 435751 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9613688286.\nAnswer: 2, 3, 19, 7321, 11519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1570357.\nAnswer: 1570357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 17974008517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, 0, -40 in decreasing order.\nAnswer: 0, -2, -3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -y**4 + 6139*y**3 - 9326195*y**2 - 293553175*y - 2284134000 = 0. Calculate y.\nAnswer: -16, -15, 3085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**2 + 25*l - 705. Determine s(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1021.3 + 1021. Sort 13, 0, z in descending order.\nAnswer: 13, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(-5))\/((414\/(-115))\/(-18)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 + -63 - 10) + -35 + 56.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -6*((-15)\/8 + 2). Let t be (-1)\/(((-12)\/18)\/(-2)). What is the smallest value in 1, t, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 273 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 117346 is divided by 823?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1167 - -1166.6. Which is the closest to -313?  (a) -3  (b) w  (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 4 = 0, -4*w + 12 = -2*x - x. Let o be 2\/3*9\/w. Is o*124 + (3 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1\/(1*-3))\/((-4)\/8). Let c be (4\/5)\/(3\/(-150)). Let f = c + 199\/5. What is the second smallest value in -1\/7, f, y?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.27 in -2\/15, 5\/3, -7\/2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 302 + -3301003320?\nAnswer: -3301003012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 506 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/(-10) + (-16)\/(-15). Let p = 0.56 - 0.59. Let l = -3.03 - p. Which is smaller: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-25)\/(-25)*1*-9*3\/3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-18)\/(-72))\/(3\/(-6))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/(-7)*189\/18. What is the first derivative of -o + 10 + 27*t**3 + 24*t**3 wrt t?\nAnswer: 153*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 - 17*n**2 + 6*n - 51. List the prime factors of j(18).\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/9  (b) -2\/3  (c) -1  (d) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 6*n + 6. Let z(j) = -5*j - 5. Let f(y) = -4*y - 12. Let l be f(-5). Suppose 3*v - v + l = 0. What is v*r(a) - 5*z(a)?\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*v = -21 - 29. Suppose -v*u = u - 78. What is the highest common factor of 143 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -118*q - 53. Let u be -2 - (-12)\/(-42)*7. What is the hundreds digit of p(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*j**2 + 46787070*j + 109451495959245.\nAnswer: 5*(j + 4678707)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lrrr when four letters picked without replacement from {r: 7, l: 4}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 10  (b) 4\/5  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 76*1232\nAnswer: 93632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -365*g = 45*j - 40*j + 30, -g + 34 = -4*j + 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 46258 and 16766.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -106.229 + 101.37. Let z = 9187 - 9187.141. Let v = d + z. Which is the nearest to 1?  (a) 15  (b) -1\/2  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (593914\/11 - 1) + 176\/(-968). Let b(h) = -4*h - 1. Let a be b(-1). Suppose -m + 2*u + 27003 = a*u, -2*m = -3*u - j. Round m to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 83740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6201 = -560*j + 3319 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*z - z**3 + 12 + 2*z**4 - 16 + 2 + 4 to d*z**3 + g*z + q + x*z**4 + m*z**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*p + 38*p - 11*p + 3 - 5 + 5 - 21*p.\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 86 (base 13) to base 7\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**3 + 4*t**2 - 18*t - 296. List the prime factors of c(-21).\nAnswer: 29, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -142756*c**4 - c**3 + 48*c**2 + 51*c - 1?\nAnswer: -3426144*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2757 and 14840012?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62 = 6*y + 5*z, 0 = 2*y - 20306*z + 20300*z - 10 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 - 2*g - 2 - 2*g - 7 - 18 + (-1 + 3 + 2)*(2 - 2*g - 2).\nAnswer: -12*g - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*s - 50 = 25*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 10 + 6, -d - 2*p + 14 = 0. Let m be (10 + -12)\/((-4)\/d). Factor -39*w**5 + 7*w**5 - 36*w**4 + 21*w**5 - 4*w**m - 70*w**5.\nAnswer: -w**3*(9*w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-14)\/4)\/(126\/(-90)))\/(-1)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r**3 - 11173725*r**2 = 0. Calculate r.\nAnswer: -2234745, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 157004 divided by -892?\nAnswer: -39251\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10.7 - -11.1. Put a, -3, 4, 1 in increasing order.\nAnswer: -3, a, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(2\/5))**(1\/17)\/(y**10*y**(12\/7)) assuming y is positive.\nAnswer: y**(-6956\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-12 + 14 + 27)*(5*w + 14*w - 7*w) + (3*w + 0*w - w)*(26 + 6 - 13) to the form a + h*w and give h.\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000452977 to 7 decimal places.\nAnswer: 0.0000453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*i + 10, 3*d + 5 - 3 = 5*i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 6 = 0, -w = u - 4*u + 9. What is the units digit of (u\/(-6))\/(3\/(-81))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(192) + sqrt(192))**2*5*5.\nAnswer: 800*sqrt(3) + 19225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 + 7*q**2 + 5*q - 1. Let w be l(-5). Suppose 998*p - 999*p + 4*u = 5, -3*u = 5*p - 136. Is w <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -436505*s**3 + s**2 + 3030*s - 26 wrt s?\nAnswer: -2619030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = a + 7. Suppose 12 = 5*p + 5*b + 2, -4*b = a. Suppose -p - 5 = -s. Round s to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + -11 - (2 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pw when two letters picked without replacement from {p: 7, w: 3}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 - -2. Suppose 0 = a*c + 5, -22 = -3*x - 5*c + 12. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2, -2.79365, -57 in increasing order.\nAnswer: -57, -2.79365, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 158 a factor of 2942750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put together -9 and 1937107781.\nAnswer: 1937107772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 348109.\nAnswer: 17, 20477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3\/6)\/((-15)\/190)*27. Let h = -95 - b. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 2*o - 11. Let p = 3636 - 3634. Let r(k) = -k**2 + 3*k - 12. Calculate p*r(s) - 3*j(s).\nAnswer: -2*s**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/25144497 and 17\/35742.\nAnswer: 50288994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -2745, -5482, -8217, -10950?\n\"Answer: q**2 - 2740*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 103737697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -3*r**3 - 37*r**2 + 12*r - 28. What is v(-12)?\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (7\/3 - -1) + 26\/39. Factor -5*h**4 + 24*h**3 + 5*h**5 + 20*h**k + 12*h**2 - 2*h**5 + 0*h**5.\nAnswer: 3*h**2*(h + 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -1\/4, 16, -3, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*c + 7297 + 538751 = -246372. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -8285160, -16570320, -24855490, -33140676, -41425884?\n\"Answer: -p**3 + p**2 - 8285156*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u + 9*u - 6*u. Let i(b) = 6*b. Let z(n) = n. Let s(x) = -5*i(x) + 35*z(x). Let a(p) = -14*p. Let l(g) = 3*a(g) + 8*s(g). Give y(l(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -36092 less than -36092?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 2*l. Let d(c) = -c**2 + 8*c + 9. Let w be d(9). Let u be j(w). Suppose 0 = -2*f - f + 15. Solve 5 = -z - f*n, u*n + 2 = 2*z + 4*n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 276 minutes before 5:09 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What is 0.4381354ug in grams?\nAnswer: 0.0000004381354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -122412*r**3 + 61201*r**3 + 61203*r**3 - 3*r**2 + 3*r**2 - 3*r**2 + 2498 with respect to r.\nAnswer: -24*r**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 296 = -8*x. Let u = -49 - x. Let o = 26 - u. What is the highest common divisor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 2*m**3 - 98*m**2 + 96*m - 79. Calculate a(48).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -698, -699, -700?\n\"Answer: -a - 697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 890263*d = 890255*d + 352 for d.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 321.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*p + p + 11*n - 659 + 542 = 0, 4*p = -5*n + 27 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 19067 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 + (-6)\/4*-2. Let z(a) = -4*a - 7. Let y be z(-14). Let k be ((-84)\/y)\/3*(-2)\/4. What is the nearest to 0.4 in -0.2, k, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14.73 + 9.73. Let g be -1*(1 + (-27)\/21). Which is the second biggest value?  (a) g  (b) o  (c) 3  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6 and 1734.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.11196051942 to 5 decimal places.\nAnswer: -0.11196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6, 4, 18, 36?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**4\/3 - 80*i**3\/3 - 26*i**2.\nAnswer: -2*i**2*(i + 1)*(i + 39)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*z**2 - z**2 + z**2 + 804688*z**3 - 804686*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-30)\/(-8)*64\/12. Let c = -13 + k. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes before 5:01 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -820*f + 170570 = 88570 for f.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13089, 13134, 13209, 13314, 13449?\nAnswer: 13614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/(1 - (-1)\/(-2)). List the prime factors of -4 + 2 + (15 - z).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*k**3\/8 + 537*k**2\/8 + 51747*k\/2.\nAnswer: -3*k*(k - 367)*(k + 188)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 480 and 95.\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18 + 29*q**3 + 24*q**3 + 27*q**3 - 96*q**3 + 104 + 14*q**3.\nAnswer: -2*q**3 + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t - 152 = 436. Suppose 3*z + 3*g = 2*g + t, 20 = -5*g. What is the remainder when z is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 351914*m**2 - 18*m + 17. Is b(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - 5 = -2*r + v, 14 = -r - 5*v. Let i(u) = -u - 1. Determine i(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a**3\/5 - 10*a**2 = 0.\nAnswer: 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (17 - 20)*8\/3. Let p = g - 2. Let y be ((-40)\/350)\/(4\/p). Which is the nearest to y?  (a) 0.3  (b) -1\/2  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 201786.1l in millilitres?\nAnswer: 201786100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1.4519641 or -1?\nAnswer: -1.4519641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, 10, 1, 0, 20, -4 in descending order.\nAnswer: 20, 12, 10, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 3, -5, -60, 0.3.\nAnswer: -60, -5, 0.3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the first derivative of -3*k**6\/10 - 17*k**2 + 30*k + 3. Let y(d) be the first derivative of p(d). Differentiate y(s) wrt s.\nAnswer: -36*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h**26*h))\/((h*h*h\/(h*h**(2\/15)))\/h))\/(h**(-1\/9)\/h**(-17)) assuming h is positive.\nAnswer: h**(-1969\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 2121*j. Let k(o) = -234*o**2. Determine k(s(m)).\nAnswer: -1052681994*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -100000101000 (base 2) to base 11\nAnswer: -1629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/6 of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.194 + -0.193999308. Round f to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*u = -b - 6*u - 33, 33 = -5*b + 4*u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -175 - -168. What is the common denominator of (n\/6)\/((-32)\/(-20)) and -5\/12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = n. Let q be -1 + 2 + 0 + n. Let y(h) = 1 - 2 + h - 1. Give y(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1789 divided by 2475\nAnswer: -1789\/2475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) -1  (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/11, 2, -0.1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 2  (b) 0.5  (c) 0  (d) -644\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 793998.603 to the nearest 10.\nAnswer: 794000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -6*y**2 + 126*y + 349. Calculate h(33).\nAnswer: -2027","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(108) - -1*sqrt(108)*-2)\/(6*sqrt(36)\/sqrt(4)))\/((sqrt(8) - (sqrt(72)*3 + sqrt(72))\/sqrt(9))\/(-4*sqrt(10)\/sqrt(5))).\nAnswer: -2*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 370262016 a multiple of 777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the third derivative of -w**6\/10 - 3*w**5\/20 + w**4\/8 - 7*w**2. Suppose t(i) = 0. What is i?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -356 greater than -354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l + 33. Let z be 975\/50*(0 + 8\/6). List the prime factors of i(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -873308*g*q**3 - 423645*q**3 - q with respect to g.\nAnswer: -873308*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 64, 2, 1, -4, -2 in increasing order.\nAnswer: -4, -2, 1, 2, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -2*835\/(-5)*34\/4?\nAnswer: 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 19 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -2*d**2. Let i(h) = 11*h + 8. Let u be 7 + (0 - 1) - 3. Let n(g) = -4*g - 3. Let m(p) = u*i(p) + 8*n(p). Determine j(m(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes after 3:54 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 7 = -5. Let p be ((-1)\/(-34))\/(1\/x). Suppose -7 = -86*q + 79*q. Is q >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5737278 milligrams to grams.\nAnswer: 0.0005737278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1326 + 47*s**2 + 214 - 18*s**2 - 15365.\nAnswer: 29*s**2 - 13825","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-6)\/22)\/(104\/(-2860))*1616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 537773.1 micrograms to kilograms.\nAnswer: 0.0005377731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 49012567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -38 + 49. Suppose 0 = -2*d + 5*i + 7, -2*d = w*i - 15*i - 6. Suppose 26 + 0 = 2*g. Calculate the least common multiple of g and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -116895\/8 - -14478. Let q = 523\/4 + i. Find the common denominator of -119\/10 and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 221 - -163315023?\nAnswer: 163315244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-1*(sqrt(448) - (2*sqrt(448) - sqrt(448))) + sqrt(448) - (sqrt(448) - (sqrt(448) + sqrt(448) + 2 + -2 + sqrt(448))))**2*-4 + 0.\nAnswer: -32256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 3*q**5 + 13*q**4 - 5*q**3 - 5*q - 5. Let x(h) = 8*h**5 + 32*h**4 - 12*h**3 - 12*h - 12. Let o(z) = -12*a(z) + 5*x(z). Factor o(y).\nAnswer: 4*y**4*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 5 + 0 - 2\/2. Suppose -g = -2*d - 16, -5*g - 33*d + 34*d + 35 = 0. Suppose 4*z = g*z + 4*z. Solve 0 = y - z*y + v for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (-4 + -6 + 6 - 0) + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*b**2 - 6*b**2 - 5*b**2)*(-1 + 2 + 0)*(2*b - 3*b - b) in the form z*b**2 + r*b**3 + v + h*b and give r.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4632 and 31431594.\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 244*d - 324022 = -333294 for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve g**2 - 7418*g + 7417 = 0 for g.\nAnswer: 1, 7417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/11049858 or -1?\nAnswer: 1\/11049858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -390*x**2. Let s(c) = -c**2. Determine m(s(a)).\nAnswer: -390*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -733*n + 4. Is b(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 117090 - 117090.0049729. Round f to 4 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that j**3\/5 - 48*j**2\/5 - 99573*j\/5 + 19924 = 0.\nAnswer: -293, 1, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 97*r**6 - r**2 + 66 wrt r?\nAnswer: 11640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the first derivative of -28*u**6\/3 - 7*u**4\/2 + 2*u**3\/3 - 15115*u**2\/2 + 4158. What is the second derivative of o(y) wrt y?\nAnswer: -1120*y**3 - 84*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18898 and 132286.\nAnswer: 132286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c, 1 d, and 2 m when four letters picked without replacement from cccdmunsddcuumuudncn.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 3 w when four letters picked without replacement from eexwwxeeexxw?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 72\/2 + -7 + 2 + 2. Find the second derivative of -c + 61 - 60*s - 28 - 69*s**2 wrt s.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the third derivative of -l**7\/840 - 7*l**6\/360 - l**5\/20 - l**3\/6 - 7*l**2. Let b(o) be the first derivative of w(o). Determine b(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*v - 4*v - 2*v + 12*v**2.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.055 + -0.31. Let c = 3.905 - n. Let a = 4 - c. What is a rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -h**5\/5 + 220033*h**4\/5 + 220043*h**3\/5 - 1980317*h**2\/5 + 2420378*h\/5 - 880136\/5 = 0.\nAnswer: -4, 1, 220034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1269936 and 720.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -5501*k - 752. Is q(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 15, -4\/3 in increasing order.\nAnswer: -4\/3, 2\/5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -0*i + 5*i. Let f(m) = -14*m + 1 - i*m**2 - 18*m + 31*m + m**3. Determine f(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/6)\/((-68)\/6)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -836, -1536, -2236?\nAnswer: -2936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*i + 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 15636935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -27 + 28. Sort -3, -2, s, 0 in descending order.\nAnswer: s, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -45720 divided by -4.\nAnswer: 11430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * 3184436\nAnswer: 636887.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*s + 1 - 2*s + 19*s - 9*s.\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -6201.83 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16)\/(-300))\/((-39)\/(-195))*(-3)\/(-14)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16*w**2\/11 - 142*w\/11 + 18\/11.\nAnswer: -2*(w + 9)*(8*w - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2039702823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3 - ((-469)\/(-98) + 12\/(-8)). Suppose -1 + 21 = -4*x. Which is the closest to v?  (a) x  (b) -1  (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -65 + 65. Let i(m) be the second derivative of 0*m**2 + 1\/5*m**5 + 2*m + 1\/6*m**4 + 0 + 1\/15*m**6 + t*m**3. Solve i(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/7  (b) 2.76  (c) -405\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 75, 167, 307, 501, 755, 1075, 1467?\n\"Answer: r**3 + 18*r**2 + 31*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 988 and 2444.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 1*sqrt(275).\nAnswer: 2 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g\/g**(-2)*g**(-6\/13) assuming g is positive.\nAnswer: g**(33\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 510264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/2786195 and 4\/2295.\nAnswer: 1278863505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 726, 727, 728, 729, 730, 731?\n\"Answer: l + 725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1*-1)\/(4 + -5). Find the common denominator of -2 - d - 146\/8 and ((-21)\/(-5))\/(4\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p + 5*c - 4*c - 2, -6 = 2*p + 5*c. Solve 0 = -p*a + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -94895, -94897, -94899, -94901, -94903, -94905?\nAnswer: -94907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -273267 - 3646?\nAnswer: -277135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 136852 - 5?\nAnswer: 136846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 209 + -209. Solve -x + 5 - 1 = g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5925\/18 - (-9)\/(-54). Let k = -325 + t. Solve -h = k - 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/2  (b) -23  (c) 7.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 127 + -127. Suppose 0*l + 10 = -2*l. Let g = l - -8. Put -4, g, a in descending order.\nAnswer: g, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2048032 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 = 15*h - 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -65.358 minus 3224336?\nAnswer: -3224401.358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*n + 4*n + s, s = 0. Let o(d) be the third derivative of 1\/30*d**5 + n + 0*d**3 + 2*d**2 + 0*d**4 + 0*d. Let w(f) = -4*f. Calculate w(o(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -88, -99, -132, -199, -312, -483?\n\"Answer: -2*m**3 + m**2 - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2809584.70123 + -2809566. Let k = -18.7 + b. Round k to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 4*t**2 + 1 + (4*t**2 - t**2 - 5*t**2)*(-2 + 3 + 4) - 4*t**2 + 7*t**2 + 2*t**2)*(0*t**2 - 4*t**2 + 2*t**2) + 16*t**4 + 3*t**4 - 4*t**4.\nAnswer: 33*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 2142820 divided by 428564\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -2*a**3 - 2603*a**2 + 47506*a - 76. Calculate i(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2460)\/5535*(-9)\/(-40)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -39\/34566224 and -79\/9427152.\nAnswer: 103698672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -268396, -536805, -805210, -1073611?\n\"Answer: 2*d**2 - 268415*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -280, -561, -842, -1123, -1404?\n\"Answer: -281*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -0.2, -3, 5, 16\/5, -1.79?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.2 - -0.6. Let h = -36 - -34. Let c = h - -8. What is the biggest value in b, c, -0.1, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6607 is divided by 940.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.534 rounded to 1 dp?\nAnswer: -12.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -45*i - 26. Is 14 a factor of s(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the third derivative of 7\/80*m**5 + 0 - 1\/160*m**6 - 7\/8*m**3 + 21*m**2 + 1\/32*m**4 + 0*m. Let s(w) = 0. What is w?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 13*k**3\/5 + 24*k**2\/5 + 9*k\/5 - 2\/5.\nAnswer: (k + 1)**2*(13*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange c**2 + 16*c - 2*c**2 + 0*c**2 + 2*c**2 to o*c**2 + m + y*c and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -13\/6*m + 1\/6*m**3 + 1\/6*m**4 - 1 - 7\/6*m**2 = 0. Calculate m.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24225 + 70 = -5*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -9 + (-5 + 27 - 5). Solve -7*m + 5 = -c*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8\/4391 - -443635\/79038. Calculate the common denominator of -89\/15 and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (8 + 1 - 2) - 7 - 8?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 51614071 to the nearest integer?\nAnswer: 7184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2\/9 - 10*f + 172\/9.\nAnswer: 2*(f - 43)*(f - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 3*j**2 - 16*j + 7. Let n be i(7). Let t(q) = q**2 - q - 2. Let m be t(-5). Calculate the highest common factor of m and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22648045 is divided by 107?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 63\/1768 and -125\/189696.\nAnswer: 3224832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 415441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**16*d)\/(d\/(d\/(d**19*d))) assuming d is positive.\nAnswer: d**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - k = 2*w - 13, 4*k = 4*w + 4. Let q(f) = -2*f + 1. Let d be q(w). Is 1 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9.70908 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.03641 + 14.865.\nAnswer: 16.90141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 - -1.8. Which is the biggest value?  (a) g  (b) -1\/6  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 - 0. Suppose -9 = -2*c + 1. Let k(x) = x + c + 1 + 2. What is k(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -3 + 10 + 0 + 8*z. Let s be (-2)\/(-19) - -37*14\/133. Is m(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 - 5. Let t = -3.9 - -3. Let h = -0.6 - t. Which is smaller: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1*((-6)\/(-8) + (-85)\/(-20)). Suppose 2*x - y*j = -x + 295, j - 355 = -4*x. Suppose -10*h = -5*h - x. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 - 5. Solve -b - o + 3 = -j*b, 33 = 4*b + 5*o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2*(-20)\/16*22*-1. Is 3610 + (y - 1)\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5925149.\nAnswer: 47, 126067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003361 rounded to five decimal places?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zhzwhhhhhhhzzhhwhhz. What is prob of picking 1 h and 3 z?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a microsecond in nanoseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkeekeeekekkekekekk. Give prob of sequence keek.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = 2*u - 20, 2*n - 4*n = -3*u + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 2315154 (base 6) to base 12\nAnswer: 58aba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -30 + 29*j + 30 + (-2*j - 2*j + 2*j)*(-3 - 2 + 3).\nAnswer: 33*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 707035371?\nAnswer: 3, 7, 33668351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**3 + 14*g**2 - g - 66. Calculate the smallest common multiple of 81 and r(13).\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17258, 17273, 17302, 17351, 17426, 17533, 17678?\nAnswer: 17867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -12 - ((-1)\/(-4) - (-6)\/8). Let q(h) = -16*h - 28 + 24*h - 19*h. Is q(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 15*o + 2. Let s(k) = 6*k. Let q(m) = -3*m + 9*m + 9*m - 8*m. Let p(z) = 4*q(z) - 5*s(z). Calculate -14*p(t) - 2*w(t).\nAnswer: -2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is t in t**4\/5 + 1053299*t**3\/5 + 17905794*t**2\/5 = 0?\nAnswer: -1053282, -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 4*z + 588, 2*z + 265 = 5*c - 29. Calculate the remainder when 47 is divided by (-3)\/(z\/(-25) + -6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1104 + 1107. Solve 9 = 2*n - r, -17 = -3*n - 5*r + o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 5*r = -73, 10*i = 6*i + r + 101. What is the greatest common factor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -3*z + 43 + 9, z + 2*h - 24 = 0. Let a be z*3*2\/21. Solve b - 6 = -2*o - 3, -o + a = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/(-3) - (7 - (-18450)\/(-27)). Let q = 683 - v. What is the lowest common multiple of q and 152?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*o - 8*o + 241434*o**3 + 532*o**2 - 241431*o**3.\nAnswer: 3*o**3 + 532*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -21 - -35. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -41*j. Let p(n) = -241*n**2. Calculate c(p(y)).\nAnswer: 9881*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7498?\nAnswer: 2, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + -3 + sqrt(52)\/sqrt(4))**2*5 + 2 - (sqrt(637)*2 + sqrt(637) + 2*sqrt(1053) + -2).\nAnswer: -99*sqrt(13) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -3144, 0, -79, -7 in increasing order.\nAnswer: -3144, -79, -7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 50 + -36. Let l be 1 + 1 - (-13 + 0). Suppose 0 = -3*z + 9 + l. What is the remainder when i is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*j - 57*j + 9*j)*(6*j - j + 0*j)*(2*j + 0*j + 0*j)*(4 + j**2 - 4).\nAnswer: -420*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*o**4*v - 599*o**4 - 3*o**3*v + o**3 + 333598*o**2*v wrt o.\nAnswer: -144*o*v - 14376*o - 18*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-99)\/264 + (-3)\/(-8). Let g(f) = f**3 - f**2 + 2*f + 2. Give g(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -7 + -455?\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15800*y**3 + 3*y**2 - 4*y**2 + 9840*y**3 + 5.\nAnswer: -5960*y**3 - y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3421003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 29543\/828 - 820\/23. Let c(l) be the second derivative of 0 - 1\/2*l**2 + r*l**4 + 23*l - 1\/9*l**3. Factor c(y).\nAnswer: (y - 3)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mur when three letters picked without replacement from lulluuumlrlurlrr.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/1*-1 + -25349. Let w be 1\/((-40)\/(-1013762)) + -2. Let c = w + g. Find the common denominator of 145\/18 and c.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 226 divided by 2?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (0 - 0) - -9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.5 + 3.5. Let r be 2\/3*12\/(-40). Which is the biggest value?  (a) x  (b) -2\/5  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2617*g + 126832 - 160853 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*-37.\nAnswer: 11.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(19) + 1)*-2)**2.\nAnswer: 8*sqrt(19) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 46*n - 374. Does 12 divide z(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {t: 2, w: 5, q: 4, c: 4}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u + 3 = 3*i - 15, 0 = -2*u + 116*i - 111*i + 34 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*14\/(-168)*4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 2*m**2 + 4*m + 2. Let i(k) = -k + 8. Let u be i(6). Let x = -5 + u. Determine l(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/(41*134\/(-1762)). Let r = s + -1672043\/8776665. Let i = -2\/639 - r. Which is the third biggest value?  (a) 2\/5  (b) i  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 56 + 36 = 5*p, -4*p - 64 = -20*f. Let v be 0 - (0\/1)\/2. Let c(d) = -d + 5 - d**2 + v*d - 4*d. Calculate c(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -68637\/13 + 5277. Is -4 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 691430470*t*w**3 - 37*t*w**2 - 7661*t + w**2 + 9*w - 3 wrt w?\nAnswer: 4148582820*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*p**2 - 1 + 0 + 1 in the form n*p + d*p**2 + f and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(539) - (1 + sqrt(539)*-1)) + -1 + 2*(sqrt(385)\/(sqrt(28)\/sqrt(4)))\/sqrt(5))**2.\nAnswer: -64*sqrt(11) + 2820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 125191, 250379, 375567, 500755, 625943, 751131?\nAnswer: 876319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -w + 2*d - 34, 74 = -26*w + 27*w + 4*d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18 + 20. Suppose -2*v = -4*n + 92, -5*n - v + 64 = -l*n. Calculate the greatest common factor of 33 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59349540 to the power of 1\/3, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 26 = -0*w + 3*w, 0 = -5*w - 4*t + 26. Let q(i) = w*i**2 - 2 + 1 - 13*i**3 - i - 2*i**2. What are the prime factors of q(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 248, -4, -3, 11902, -5 in increasing order.\nAnswer: -5, -4, -3, 248, 11902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-1729)\/(-117) + -15)*6 - 22\/6. Let g = 0 + 1. Let z be (1\/g)\/((-1)\/(-9)). Put 1, 5, f, z in increasing order.\nAnswer: f, 1, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 706.9208ml?\nAnswer: 0.7069208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1410647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 1\/36 = -47000\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the third derivative of h**5\/60 - 13*h**4\/6 - 25*h**3\/3 + h**2 + 45*h. What is the first derivative of p(x) wrt x?\nAnswer: 2*x - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**2\/2 + 120*m - 1175\/2.\nAnswer: -(m - 235)*(m - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 + 111?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 305753393?\nAnswer: 11, 109, 255007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -2*z + 52525 + 50899, z - 51724 = 3*j. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -d**2 + 0*d**2 + d**2 + 2*d**2 to r + b*d**2 + t*d and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 4428*b - 1062705. Give c(240).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10\/41 + 71\/123. Determine p so that -y*p + 0 + 0*p**2 + 1\/3*p**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5*90.053733\nAnswer: -450.268665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -1388*r**2 + 4168*r - 12 = 0.\nAnswer: 1\/347, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4 + (-44602)\/(-3) - (-50)\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 120\/(-9)*54\/24. Is (-1550)\/(-4) + h\/20 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**2 - 10*w + 6. Let x be j(-8). Let b = x + -18. Suppose 0 = -3*p + r + 13, b - 13 = -p - 2*r. Solve -a + p - 2 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-6))\/((-2)\/(-9))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -20  (b) 4\/5  (c) -0.82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m + 9*c - 10*c = 5, 5*c = 4*m + 7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2)\/(-5))\/(4\/60). Let v be (p\/(-9))\/(1\/3). Let g(z) = z. Give g(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 541752 and 1151223?\nAnswer: 9209784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) 0.1  (b) -1  (c) 0.4  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -913 + 1326. Calculate the least common multiple of 2773 and i.\nAnswer: 19411","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 2*f**2. Suppose 2*j + 0*j = 5*n - 8, 0 = 5*j - 5. Let x(z) = -4*z**n - 13*z**2 + 2*z**2. Determine i(x(w)).\nAnswer: 450*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v + 65 = 5*g, 23*g = -3*v + 21098 - 20929 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-6)*((k\/(((k\/((k*k\/k**(1\/7))\/k))\/k)\/k*k))\/k)\/k*((k*(k\/k**(2\/13)*k)\/k)\/k)\/(k**(4\/7)*k))**(-18\/7) assuming k is positive.\nAnswer: k**(11250\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2553, 1352, 5259, 9168, 13079, 16992?\nAnswer: 20907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67 = -79*w + 12. Let j(h) = -4*h**2 - 4 + 5 + 3*h**2 + 0. Let v(l) = -2*l**3 - 3*l**2 - 3*l + 2. Calculate w*v(r) - 3*j(r).\nAnswer: -2*r**3 - 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 20 = 0, -3*c = 4*q - 73 + 20. Let n = -340\/31 + c. Put n, -0.2, 5 in increasing order.\nAnswer: -0.2, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, q: 1, g: 1}. What is prob of sequence gq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -18, -4\/7, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8777, -41134, -95065, -170576, -267673, -386362?\nAnswer: -526649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 14 in -1\/2, -2\/11, -812?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 4*j**2. What is r(-4)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/(-12) + (-2)\/(-8). Suppose 16 = 2*h - f*h. Suppose 4*x - h = -0*x. What is the smallest common multiple of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 6*y**2 - 2*y - 2. Let r be p(-1). Solve 3*o = r*o - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 149722 + 7383476.32.\nAnswer: 7533198.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*s + 5*s + s**4)*(2 + 1 + 0)*(-1 + 1 + 2)*(3 + 2*s - 3).\nAnswer: 12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*c - 11 + 14*c**2 + 18 - 10 in the form s*c**2 + m + g*c and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 102, 96, 76, 36, -30?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/4 - (-81)\/4. Let a = n + 4. Suppose -3*v + 3*p + a = -0*v, 2*p = -10. Let g(q) = q**3 - 4*q**2 + 3*q + 4. Calculate g(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 2*i = -7*i - 8, 0 = -2*o - i + 5. Suppose -2*g = -2*h - h - 117, 0 = -o*g + 4*h + 175. Suppose x - g = -2*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 286881243.\nAnswer: 3, 11, 479, 18149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d + 4 + 3*d + 0)*(19 + 24 - 12)*(5 - 5 - 5).\nAnswer: -465*d - 620","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*s**2 + 597*s + 416*s - 1008*s.\nAnswer: 3*s**2 + 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2030 (base 14) to base 16.\nAnswer: -159a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 168 and 6.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 76 = -4*s - 7*y, 0 = -2*y + 8. Let a = 29 + s. What is the second smallest value in -4, a, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = s + 2*s. Let t = 89 - s. What is the highest common factor of 34 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 2\/9  (b) -3  (c) -38  (d) -2\/13  (e) -467\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 53 + -32. Suppose 2*w + a = 3*w. Let z(o) = 14*o**2 + 38*o + 27. Let i be z(-2). What is the highest common factor of i and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1717, -1719, -1721, -1723?\nAnswer: -1725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 2*q**2. Let f(h) be the third derivative of -h**4\/8 - 2*h**2. What is f(y(m))?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 - 2 + 0)*(-3*d - d + 2*d) - 19*d - 5*d + 10*d)*(-d + 0*d - d).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36084*l**2 - 18043*l**2 - 18044*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**3 + 4*n**2 - 3*n + 5. Suppose -2*y = -3 + 11. Let g be h(y). Calculate the greatest common divisor of 102 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12837*t + 1 - 12827*t + 25677*t - 1.\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*d**3 + 1021*d**2 - 1026*d**2 + 1 - 1.\nAnswer: -2*d**3 - 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1654?\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 110*x - 217. Let h be b(2). Solve 4*r + 2 = h*n - 1, 0 = n + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 268069?  (a) -5\/3  (b) -2  (c) -0.06  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/11 and 11\/95.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (1 - -2) + 43 + -37 - (-1 - 40)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/62594?  (a) -2\/5  (b) 5  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 67 - 57. Calculate the lowest common multiple of k and 52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v - 12*q = -75 + 17, 9 = -5*v - 4*q for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 + 96*r**2 + 599*r + 1321. Calculate i(102).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4333290 and 12300?\nAnswer: 43332900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + q = 66, -c + 40 = -2*c - 3*q. Let w be (-8)\/(9\/21 + c\/14). Is 24\/5 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 143357 + 65.\nAnswer: 143422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -7 and 88.\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**3 - 8*l**2 - 14*l + 7. Let k be g(-5). Let w = -0.25 - -0.3. What is the nearest to k in 0.3, w, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 16*a - 5*a + 0*a + 0*a - 2*a - a + 3 - 3 + a - a - 1 + 1 + (-2 - 4 + 4)*(0*a + 0*a - 2*a) + a - 4*a + 2*a + 5*a - 2*a - a + 2 - a - 2.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -57*s - 6 + 58*s + 19 - 26*s to the form n*s + g and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -213 - -296. Suppose -v = 88 - q. Let o = 0.6 - -3.4. Which is the third biggest value?  (a) 0.5  (b) v  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 175744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 486 and 1026.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000002132699321 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 12 = 4*h, 2*k - 6 = -2*k + 2*h. Let i be (-7 + k)\/((-4)\/12). Let t = 32 - i. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 - -8. Suppose 40 = -w + q*w. What is the greatest common divisor of w and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 7*(-1 + 5) + -4. Suppose -4*m + u = 16. Solve m*s = -0 + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 519 divided by -173.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 146, 294, 442, 590?\n\"Answer: 148*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the third derivative of -x**6\/120 + 19*x**5\/60 + x**4\/24 + 4*x**3\/3 - 50*x**2 + 7. Let w = 26 - 11. Is u(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.5 and 479978.\nAnswer: 479977.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:41 AM and 4:45 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1944 - 1944. Solve u = 102*o - 96*o - 30 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -99*h**2 - 2. Let g be 0\/(-4 + 3) + -2. Let p be c(g). Let i = p - -628. Round i to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 5632 and -17?\nAnswer: 5649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - -7 - (14 + -5 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 135197690*a**3*r**2 - 98*a**2*r**2 - 9*a**2*r - 295*a**2 - a*r**2 + 49*r**2 wrt a?\nAnswer: 811186140*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * -1.348491.\nAnswer: 4.045473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*l - 2337 + 2237 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -70, 1\/2, -105, -2\/3, -2 in decreasing order.\nAnswer: 1\/2, -2\/3, -2, -70, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -q + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1222)\/(-182078) + 67800\/(-745)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - -155421?\nAnswer: 155421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-92*k + 8 + 44*k - 3*k - 3*k)*(30 - 30 + 7*k).\nAnswer: -378*k**2 + 56*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1620 - 1570. What is the highest common factor of k and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**2 + 7*k - 6. Let t be n(6). Is -4\/11 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 - 7*z**2 + 9*z + 12. Let j be g(-8). Suppose -16 = -j*u - 0*u. Suppose 7*w = 11*w - 48. Solve 5*l + 5*n = -11 - u, 0 = -4*n - w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 + 2. Let x = u + -3. Let l = -3\/57254 - 28573\/1030572. Which is smaller: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -2*s + 2. Let r be a(-6). Let v be -3 + 0 + 1 + r. Let g(m) = -m**2 + 24*m - 14. Let h be g(22). Calculate the highest common factor of v and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.101 and -0.089.\nAnswer: -0.008989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 213509 + -213503. Let j be 0 + -1 + 0 + 1. Let r be 2 - j\/((-2)\/2). Put r, x, -2 in descending order.\nAnswer: x, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 247187593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**5 - 15*d**3 + 10*d**2 + 60*d - 72.\nAnswer: (d - 2)**3*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 2*a**2. Let l(f) = -12 + 9 + 3 + 2*f. Give l(m(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (5*1 + (-3)\/1)*4. Suppose 3*h + n*f = 7*f + 3097, -3085 = -3*h + 2*f. List the prime factors of h.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 39\/22660 and -7\/11880.\nAnswer: 1223640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -31?\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 x, 1 j, and 1 u when four letters picked without replacement from txxjlulu?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*n - 28*n = 42 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16555.\nAnswer: 5, 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -0.081*0.36\nAnswer: -0.02916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**2\/3 + 194*n\/3 + 64.\nAnswer: 2*(n + 1)*(n + 96)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are 3\/5 and -428 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) 5  (c) 103  (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 2, g: 2, a: 3, r: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*h + 19 + 31 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes before 12:47 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (2 + 663069)\/((3 + -5)\/(-2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 143731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (40\/6 - 6)*510. Suppose 107*y - 112*y = -n. What is the highest common divisor of y and 306?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - 0) + (11 - (-3 - (-3 - 24)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14553 and 532980?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 13413320 + -2?\nAnswer: 13413313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*u**2 + 3*u**2 - 2*u**2)*(-6*u + 3*u + 2*u) - 17 + 12*u**3 + 17 + (5*u**2 - 5*u**2 + 2*u**3)*(2 - 1 + 1) as b*u**3 + v*u + h + j*u**2 and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1047307?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17876.5 + -15970976.\nAnswer: -15988852.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y. Let s be (-4)\/8*-18 - -2. Suppose 3*c + 5 - 26 = -4*m, -2*m = c - s. Let d(j) = -j**2 - 6*j. Give m*f(q) + d(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -24, -32, -46, -66?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g - 9, 5*i + 24 = 8*i + 3*g. Suppose 0 = -i*c - q + 6, 5*c - 5*q - 43 + 13 = 0. Factor 1\/6 + 1\/6*s - 1\/6*s**3 - 1\/6*s**c.\nAnswer: -(s - 1)*(s + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 61 - 53. Let q(h) = 48903*h**2 + 25*h + 8. Let v be q(y). Round v to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 364821901?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -97723808*n + 20*n**3 - 3*n**4 - n**2 + 97723808*n - 6 to the form v*n**2 + z + k*n**4 + m*n**3 + x*n and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4097973089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2531419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(1053) - 6*sqrt(1053) - sqrt(1053) - sqrt(1053)) + sqrt(1053) - 1*sqrt(1053)*6.\nAnswer: -108*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1\/2, -1\/3, 0.12, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000041352 to seven decimal places.\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.1 in 5, -4, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -36.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45 is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-31548)\/99)\/478*(-1)\/76.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 894 = 4*y, 1743 = -779*p + 783*p - y. Calculate the smallest common multiple of p and 46.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 83 is divided by 14 - (5 - 5)\/(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7445 times 0.030189\nAnswer: -224.757105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -36*b*j**2 - 2*b*j + 12*b - 46*j**3 + 2*j**2 - 190*j - 9 wrt j.\nAnswer: -72*b - 276*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1418158400?\nAnswer: 2, 5, 886349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12?  (a) -4\/7  (b) -0.09  (c) 5  (d) 21\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**2 - 12*l. Let j be m(-12). Suppose -h - 3*h + 76 = j. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.055, 1\/2, 17\/9 in descending order.\nAnswer: 17\/9, 1\/2, -0.055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c\/(c**(2\/5)\/c))*c*c**5)\/(c**0)**(2\/71))**(28\/5) assuming c is positive.\nAnswer: c**(756\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aaflmlalaalllllala. Give prob of sequence afal.\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l**5 + 524*l**4 - 2056*l**3 + 3064*l**2 - 2036*l + 508 = 0 for l.\nAnswer: 1, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21*x**4 + 61*x**3 - 61*x**3)*(-4 + 0 + 2 + 3 + 29 - 11 + (0 + 3 - 2)*(0 + 0 - 2) + 0 - 1 - 1).\nAnswer: 315*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-12)*(-202)\/2020?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2 + 10*x - 27. Let h(j) = -j**2 - 10*j + 27. Let l(q) = -6*h(q) - 7*t(q). What is the units digit of l(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (0 + (2 - 0) + -7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.5?  (a) -11  (b) 0.3  (c) -111\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the third derivative of -5*b**4\/8 + 17*b**3\/6 - 2*b**2. What is the derivative of x(m) wrt m?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14849 - -6030. List the prime factors of h.\nAnswer: 20879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and -52795172.\nAnswer: 211180688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from wtikikkkiiktk.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1444 times -5?\nAnswer: 0.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is a505aa - -16?\nAnswer: a505c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u - u - u**2)*(15 + 17 - 7) + 67*u**2 - 13*u**2 + 11*u**2.\nAnswer: 40*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3619, 7237, 10855, 14473, 18091, 21709?\nAnswer: 25327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.015756 and 13971.\nAnswer: 220.127076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes after 6:13 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bjlhs. What is prob of sequence hb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 782141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 97*y - 2. Let b be z(2). Suppose -3*w + w + 8 = 0, 0 = 4*g + 2*w - b. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 2 w when four letters picked without replacement from {u: 5, w: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t**(-2\/9)\/t))**1\/(t**30*t**(2\/31)) assuming t is positive.\nAnswer: t**(-7768\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000884505719 to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - -9) + 0 - (4 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = 3*s + 6, 3*y - 5*s - 5 = -s. Solve -15 = -3*b - 4*v - 23, 0 = -y*v - 15 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-g - 3*g + 2*g)*(-3*g**2 + 3*g**2 - 1665*g**3 + 1333*g**3) to u*g + n*g**3 + z*g**4 + v + w*g**2 and give z.\nAnswer: 664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.066221 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 16 + (-8 - -2) + (117 - 146)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 92155 is divided by 384?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 16, 0.9, -1 in increasing order.\nAnswer: -1, 0.9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -82, -85, -26, 5, -3 in increasing order.\nAnswer: -85, -82, -26, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + 3*g + 5*u + 24299985 = 0, u - 40500003 = 5*g. What is g rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000293 to 6 decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 324 is divided by 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 841 - 834. Solve m*x - 53 = -18 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 179ca - 6?\nAnswer: 179c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.335 minus 265?\nAnswer: -266.335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/3)\/((-770)\/(-1320))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 2, p: 2}. What is prob of sequence aapp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 21061354021 - 2?\nAnswer: 21061354016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (21\/2)\/7*-2. Let j = 938 + -940. Sort j, -11, -4, l in decreasing order.\nAnswer: j, l, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + 4*r = 10*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5512*b - 5443*b - 2760 = 0. What is the lowest common multiple of b and 936?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1168044 divided by 109\nAnswer: 10716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*12\/(18\/(-3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 - 1. Let d(n) = 7*n - 11. Let f(h) = -27*h + 44. Let k(y) = -9*d(y) - 2*f(y). Let s(o) = -2*o + 2. Let q = -32719 - -32708. Calculate q*s(b) + t*k(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 96.0898ms in seconds?\nAnswer: 0.0960898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4c6b098 - -3?\nAnswer: 4c6b09b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.01 or 2\/543?\nAnswer: 2\/543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -114 = -31*q - 331 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 37761 and 46971?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.02698 + 0.02698. What is the closest to -36 in 2\/5, -0.22, r?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 77643.\nAnswer: 3, 8627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 32426826761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*p - 102*p + 35*p = 5538 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 7314, 7312, 7308, 7302, 7294?\n\"Answer: -r**2 + r + 7314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 16846*r**3 - 8433*r**3 - 8415*r**3 - 17*r + 3*r**2. Let p(c) = -4*c**3 + 7*c**2 - 33*c. Calculate 7*d(h) - 3*p(h).\nAnswer: -2*h**3 - 20*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 207 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1320 + 2548 - 2*q + 928 - 2*q + 11*q)*(q**4 - q**4 + 3*q**4).\nAnswer: 21*q**5 + 6468*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1651 - -1691. Solve -s = -15*v + 7*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 5*s**3 + 134*s**2 + 901*s + 1163. Determine r(-17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1627839*p - 1627907*p = -2720 for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (14 + 1 + (-5 - -2))\/((-2247)\/(-535))?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.03593956 + -12.96405544. Let r = 13 + q. What is r rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -86682, -86627, -86564, -86493, -86414, -86327?\n\"Answer: 4*m**2 + 43*m - 86729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1181 = 2*f - 3*o - 1175, -o = -4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*d*k**3*q**3 + d*k**3 + 2*d*k*q**3 + 3*d*q**3 + 8*k**3 - 234*k*q**2 wrt k?\nAnswer: -30*d*k*q**3 + 6*d*k + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -30 + 4. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*v - 33*v - 4*v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3563025 rounded to 2 dps?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in fourty-five halves of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10070 divided by 2?\nAnswer: 5035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -37*r - 508. Let q be v(-14). What is the nearest to 0.1 in -4, 5, 0.08, q?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 29  (b) 5  (c) -2\/13  (d) -5  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 92.74745ng to kilograms.\nAnswer: 0.00000000009274745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (3 + -5)\/((-28)\/(-3315802)*(-1 - 0)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1616*p**3 - 6146314*p + 6146314*p.\nAnswer: 1616*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5632 = 5*j + 11*j. Let p = -77 - j. Does 22 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -243, -501, -765, -1035, -1311?\n\"Answer: -3*b**2 - 249*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((((sqrt(192) - (sqrt(192) - sqrt(192)*2)) + sqrt(192) + 2)*-6 - (-1 + sqrt(192)*1*-1))*4)**2.\nAnswer: -2669232 - 143616*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 23 + -11. Let y be (b - (-4)\/(-1))*1. Solve -3*i - 10 = -y*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -88056*z + 88063*z + 119 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 685?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = -2*r + 7*r, -2*b + 37 = r. Suppose 13*o - b*o = 117. Which is bigger: -38 or o?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37130377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -53295, -106534, -159773, -213012?\n\"Answer: -53239*i - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -47?  (a) 3.4  (b) -2\/9  (c) -1  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -756932 rounded to the nearest one thousand?\nAnswer: -757000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1120 = 20*q - 0*q. Let y = 217 - q. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 481 and 12066847.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -5*j + 4*z + 181, 5*j - z - 829 = 0. Suppose 0 = 31*p - 32*p + j. Calculate the smallest common multiple of 35 and p.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 9391 and -35.\nAnswer: -328685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 - 110015?\nAnswer: -110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1101 - 1021?\nAnswer: -2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u = 4*s + 8, -s + 2 = 10*u - 7*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 15) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -4*j + j**2 + 3*j**2 - j**2 - 4*j**2. Let s = 3 - 0. Let w(d) = -d**2 - 3*d. What is s*n(b) - 4*w(b)?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-126)\/84*2\/(-7)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s + 17. Let q be v(8). Let o(y) = -13*y + q + y + 3*y + y**2. Let x(u) = 2*u - 2. Give 2*o(h) + 9*x(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 102 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -416 = 61*o + 194 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2029 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 238.7815 and 0.2?\nAnswer: 47.7563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -6127, -32, 1, 2 in descending order.\nAnswer: 2, 1, -32, -6127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 140141534*u**3 - 6622205*u + 14.\nAnswer: 840849204*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6.288, 2\/7, -2\/11 in ascending order.\nAnswer: -2\/11, 2\/7, 6.288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 238974*g - 650*g**3 - 238974*g + (-1 - 5 + 1)*(5*g**3 - 6*g**3 + 0*g**3).\nAnswer: -645*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 390473108 and 20?\nAnswer: 1952365540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 29624 and 10441816.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 0*y + y + 1 = 2, 0 = 7*a + 5*y - 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yp when two letters picked without replacement from yyyp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2713036 and 21.7756.\nAnswer: 2713057.7756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -41891*u - 2932422. Calculate n(-70).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 652 = -655. Let t(q) = 74*q**2 + 4*q + 4. Is t(g) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -550 - -963. List the prime factors of w.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -3*j + 16, -3*w + 6 = 4*j + 2. Let t(x) = 1. Let f(u) = -u**2 - 5*u - 3. Give j*t(o) + f(o).\nAnswer: -o**2 - 5*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 618, -3, -2 in decreasing order.\nAnswer: 618, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 364  (b) 31  (c) 2\/3  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-80)\/(-300))\/((-46)\/140) and 53\/851?\nAnswer: 2553","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0  (b) -24.7  (c) -0.5  (d) -10\/51  (e) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 99, 101, 103?\n\"Answer: 2*s + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((15\/35)\/3)\/(16\/(-14)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in c**3 - 4*c**3 + c**3 + 439 + 657 - c**2.\nAnswer: -2*c**3 - c**2 + 1096","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 21029612427 - 21029611025.9999211. Let l = g + -1401. What is l rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 4 = -3*l + 3, 2*l = -i - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -31 - -55. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 615*w**2 - 625*w**5 - 615*w**2 - 22*w - 235*w**5 + 95 - 93 wrt w?\nAnswer: -17200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -26 + 1 + 38 - -19?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 184\/(-1564) - (-156)\/170?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 - 3 - 89 - (46 - 62).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3217\/210 + -107\/7. Let w(x) be the third derivative of -7*x**2 + 0*x**4 + 0*x + u*x**6 + 0 + 1\/30*x**5 + 1\/105*x**7 + 0*x**3. Find q such that w(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16852 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:40 AM and 6:30 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21633, 86625, 194937, 346563, 541497, 779733?\nAnswer: 1061265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*c - 10*c = 70 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/o**(-1\/3))\/o)**(-3))**(1\/11)\/((o**(-6)\/o)\/o*o**(-2\/17)\/o)**(-43) assuming o is positive.\nAnswer: o**(-73332\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -6, -22, 5 in increasing order.\nAnswer: -22, -6, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the second derivative of 0*b**2 - b + 0 - 3\/20*b**5 + 1\/6*b**3 + 0*b**4. Find the second derivative of m(f) wrt f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes after 11:24 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*v + 2*v - 15 + 0*v.\nAnswer: 2*v - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 312564.\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -3037.58409 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 10, p: 9}. What is prob of picking 2 p and 2 s?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 221 and 8759777?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p\/p**(-9))\/((p\/(p*(p**(-2\/27)*p*p)\/p))\/p))\/((p*p*p*p*p**0*p)\/(p*p**(2\/21))))**42)**14 assuming p is positive.\nAnswer: p**(42448\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 10023 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7744\/693 - 16 - (4 - (-52)\/(-14)).\nAnswer: -46\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 585*c. Let f(x) = -2*x**2 - 7. What is b(f(h))?\nAnswer: -1170*h**2 - 4095","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2420 divided by -5?\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-162)\/(-324) - (-186)\/(-348).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2*29*(18 + -17). Let i = l - -196. What is the greatest common divisor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1360 - -165?\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5\/4*t**2 - 2185\/2 + 135\/4*t = 0. What is t?\nAnswer: -46, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 smaller than 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 64, 31, -24, -101, -200, -321?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7998 is divided by 127?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010100110110010001110111101 - 1?\nAnswer: -1010100110110010001110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/9?  (a) 5  (b) -0.1  (c) -4  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-84 + 20*v + 84)*(0 + v + 0)*(6*v + 14*v - 8*v) in the form a*v + l + p*v**2 + r*v**3 and give r.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 3*q = -q. Solve q = 3*s + u - 11, s + 2*u - 8 = 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 622377710 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9019564 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 5, 81, -23, -4, 7 in increasing order.\nAnswer: -23, -4, 3, 5, 7, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -13*r**2. Let x(k) = 4*k**2 + 5*k + 5. Let l(g) = g**2 + g + 1. Let a(b) = 5*l(b) - x(b). What is a(j(s))?\nAnswer: 169*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21 - 24 - (-8 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 - 2*j + (6*j - 4*j + j)*(3 - 1 + 0))*(-8*j - 3*j + 19*j) in the form z*j + o*j**2 + l and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -174 and 2.853?\nAnswer: -496.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**2 - 295*c + 20548. What is t(180)?\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 315, -1676, -5985, -12606, -21533, -32760, -46281, -62090?\n\"Answer: y**3 - 1165*y**2 + 1497*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = -4*n, 10 - 5 = 3*n + 2*b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 217*u + 677*u**3 - 109*u - 108*u.\nAnswer: 677*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/3, -9, 5\/17179?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 708*d - 1815 = 3*x + 746*d, 4*x + 4*d + 130 + 50 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the third derivative of -t**8\/224 - 8*t**7\/315 - t**6\/90 - 7*t**4\/12 - 2*t**2. Let u(k) be the second derivative of z(k). Solve u(r) = 0 for r.\nAnswer: -2, -2\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(190) + (sqrt(190) + 5*3*sqrt(190) - sqrt(190)))\/((sqrt(80) - (sqrt(80)*-1 + sqrt(80)))\/sqrt(8)).\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least 28\/606873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -85*u + 24651 + 25074. Calculate the smallest common multiple of 25 and u.\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.02383 decades to years.\nAnswer: 50.2383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -6*y**2 - 1693*y + 11. Let d(p) = 8*p**2 + 2540*p - 16. Calculate 7*c(z) + 5*d(z).\nAnswer: -2*z**2 + 849*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 7, -1\/2, 0.13, -0.4, -0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -127*s**2 + 127*s**2 + 51*s**3 + (4*s**2 - 3*s**2 + s**2)*(2*s - 3*s + 2*s).\nAnswer: 53*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y - 2*q = 14, -1816*q - 11 = -y - 1811*q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the second derivative of -1\/270*i**6 + 4\/45*i**5 - 6*i - 7\/18*i**4 - 13\/18*i**2 + 20\/27*i**3 + 2. Factor h(l).\nAnswer: -(l - 13)*(l - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 2*a - 88. Let g(b) = b - 44. What is -9*g(t) + 4*k(t)?\nAnswer: -t + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 43 = 15. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 + -2. Suppose h + s = 0, g - 2*h = 8 + 3. Let f(i) = i**3 - 10*i**2 + 13*i - 2. What is the remainder when f(9) is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q**2 + q**2 - 4*q**2)*(-5319*q**2 + 2670*q**2 + 2661*q**2 + 252).\nAnswer: -12*q**4 - 252*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -6*z**3. Suppose -5*j - 8 = -33. Let o(k) = 9*k**3. Determine j*o(q) + 8*m(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -20979 + 20979.25671. Round d to three decimal places.\nAnswer: 0.257","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 79 in -4, -6, -1\/3, -3\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n - 4*n + 2*n)*(-5934 - 5484 + 955).\nAnswer: 20926*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 19630*k**2 - 817*k. Let i(l) = l. Calculate r(i(a)).\nAnswer: 19630*a**2 - 817*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 7) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cy when two letters picked without replacement from {c: 6, y: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes after 6:42 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -128040757 or -128040761?\nAnswer: -128040757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 48 = 3*b, -2329*b = 2*x - 2309*b - 320 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 46764633?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*a**3 + 18204*a**2*o - 28*a*o*p**2 - 3*o*p**2 - 465*o*p + 228*o wrt a.\nAnswer: 6*a**2 + 36408*a*o - 28*o*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/12*(20\/(-50))\/(3\/30).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:02 AM and 3:05 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the third derivative of 7*z**5\/3 - 25*z**4\/3 + z**3\/2 + 5*z**2 + 40*z. Find the second derivative of s(c) wrt c.\nAnswer: 280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j\/j**23)\/j)\/j)**(2\/63) assuming j is positive.\nAnswer: j**(-16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (40 - 38) + (1 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 127 - 130. Is (-4276 + (5 - 5) + q)*-1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -7*p**2 - p + 5. Let d(f) = -2*f**2 - 2 + 10*f**2 - 2*f**2 - 3*f**2. Let i be (1 - 0) + 2\/2. Let o(s) = i*l(s) + 5*d(s). Factor o(b).\nAnswer: b*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t**4 + 2*t**4 - 3*t**4)*(-1 - 3 + 3) + 34*t**4 + 15*t**4 + 7*t**4.\nAnswer: 57*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -390*d - 3584 + 5898 + 6266 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 4*n - 28 = 0, 3*b + n = -3 + 4. Let j be -11 + 2 - (b + 1). Let h(s) = s**2 + 12*s + 6. What is the units digit of h(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9 + 5. Let p(o) = -o**2 + 7*o + 3. Let l be p(7). Suppose 0 = -6*i - 15 - l. Put -1, i, d in decreasing order.\nAnswer: -1, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*f + 4*f - 4116*f**2 + 4094*f**2 as j*f + c*f**2 + z and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*t = 14*r - 12, -5*r - 6 = 9*t - 6*t - 4*t - 0*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 2, 0, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*d*r**2*u - d*r + 294042*d*u - 10*d + 1829104*r**3*u - u wrt r.\nAnswer: -4*d*r*u - d + 5487312*r**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10975.3 - 11482. Round k to the nearest 10.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 7) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 6 = -3*d - 3, 0 = 3*p + 5*d + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3974 - 2078. List the prime factors of a.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 73\/8 + -727\/88. Let q = 15\/11 - s. Suppose q*t**2 - 1\/2*t - 1 = 0. Calculate t.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -267586139546045*l**2 + 4389328200*l - 18000 = 0. What is l?\nAnswer: 60\/7315547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 6, a: 4, x: 1, r: 5}. What is prob of picking 1 x and 3 w?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, l: 1, r: 3, c: 1, m: 1}. Give prob of sequence mc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 13614*j - 202. Let n be m(-25). Let z = n + 3120552. What is z rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 3*j = 9, -4*v + 4*j + 33 = j. Solve 2*k = v*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*x = 15*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29 = -4*b - 5*n, -3*b - 3*n + 8 = -2*n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 37890.73 decades?\nAnswer: 4546887.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 53717904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, k: 1}. What is prob of sequence jj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 58*d**2 - 1098*d + 157. Calculate v(18).\nAnswer: -815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 383775 and 2284800?\nAnswer: 8925","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 + -9. Let j = b - -18. What is the third derivative of -f + f - 8*f**5 - 20*f**2 + 3*f**j wrt f?\nAnswer: -480*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z = 255 - 241. Suppose l + 16 = -3*l, l - 35 = -m. Calculate the remainder when m is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.1 + 0.5. Let b = -0.1 + v. Let r = -0.3 - -0.5. Sort b, r, 0.1 in descending order.\nAnswer: b, r, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1012\/(-8228)*17*(-22)\/2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 124, 183, 340, 643, 1140, 1879?\n\"Answer: 8*a**3 + a**2 + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -29*o + 5. Let t be b(-4). Let r = t + -131. What is the third smallest value in -5\/6, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44)*-2)\/sqrt(4) + (-2*sqrt(44)\/sqrt(4))**2.\nAnswer: -2*sqrt(11) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 c when two letters picked without replacement from {c: 12, d: 2, k: 3}?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -10*h + 10. Let t(y) = 14*y - 10. Let j(x) = 4*g(x) + 3*t(x). What is j(-10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -142 (base 5) in base 9?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 2 l when four letters picked without replacement from llllellglelglll?\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - f = -1332, 0 = 2*r - 5*f + 3408 - 732. Let x = -793 - r. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + j = 4, -2*f - 3*j + 72 = 0. List the prime factors of f.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -0.1  (b) -1.17  (c) -1\/7  (d) -22\/5  (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 243675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -81, -317, -711, -1263, -1973, -2841, -3867?\nAnswer: -5051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -17.93 - -18. Let q = 0.0642 - c. Round q to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 208 + -2. Suppose -4*j = -z + c, -343 = -3*z - 5*j + 292. Does 42 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63c (base 13) in base 7?\nAnswer: 3051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.2 - 0.4. Suppose -4*m = -19*m - 2*m. Suppose m = -t - 35 + 29. Which is the third smallest value?  (a) 2  (b) w  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = a - 27. Let i be -3 + 7*3\/7. Determine l(i).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vonan. Give prob of sequence nvo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) 5  (b) 0  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 12 + (-2 - -16) + 6 + -3 + 0\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -0.3, 1, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 31, 3, 353.\nAnswer: 3, 7, 31, 353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (4 - 4) - (0 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i + 4 = -31. Suppose g - 14 + 18 = 4*t, g = t + i. What is the highest common factor of g and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -5*s**3 + 2*s**2 + 12. Let d be b(-3). Suppose 4*u = 3*u + 2*p + 40, -4*u + d = -3*p. Calculate the remainder when 208 is divided by u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8 + 12. Suppose -4*d + r = -y - 2*d, -y - 3*d = -16. Suppose -4*q = -y*x + 60, 4*x = -q + 45 + 10. What is the remainder when x is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wawa when four letters picked without replacement from kwwwawkjkwtatakkkkk.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 - 1) + (-18746)\/44. Let l = 849\/2 + o. What is the common denominator of -45\/2 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwy when three letters picked without replacement from {y: 1, w: 5, c: 11}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2*((-1)\/8 + 12\/(-32)). Sort o, 423, -5.\nAnswer: -5, o, 423","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (0\/(-2))\/12 + 1*913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from {b: 3, v: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -8167180 divided by 2041795\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 177.34 - 0.34. Let y = j - 176.8. Which is the nearest to -2\/3?  (a) y  (b) 2\/3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 114*v - 117*v + 8246 = 214*v for v.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 34728 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19029 is divided by 144?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 r when two letters picked without replacement from fhhhpxxrfvhxpx.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(48)*-2.\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + 2*g + 26 + 44, -172 = -5*y + 2*g. What is the greatest common factor of y and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 0*u**4 - 1 + 83*u**3 - 3*u**4 - 84*u**3 as i*u**2 + r + x*u**3 + c*u**4 + m*u and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -5 - -11 - (12 - (3 + 0)) - 8\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -7\/2, -1\/4, 1.8, 3?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 a factor of 36681014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8761688 + 4380840 + 4380848 + 28*h + 19*h.\nAnswer: 47*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n - 53 + 17. Let u be (8\/(-10))\/(6\/30). What is the common denominator of -53\/2 and (n\/(-60))\/(u\/42)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-72)\/54*126\/(-48))\/(-1).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 4 = -7. Let j(u) = -2*u - 3. Let f be j(v). Solve -f + 1 = 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -3*p + 20. Suppose -8*l + 54 = -p*l. Calculate the remainder when 53 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*h**3 - 54*h**2 - 8 - h**3 + 54*h**2 in the form o*h + j + b*h**3 + d*h**2 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) -18\/47  (b) -3  (c) -1\/3  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -23 + 93. Suppose 3*d - 60 = -d - 2*j, 6 = 3*j. Calculate the greatest common factor of x and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**3 + 5*w**2 + 5*w + 2. Calculate the remainder when t(-3) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10000111100011010010101 (base 2) to base 6.\nAnswer: 235111353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u**3 + 788*u**2 + 6532*u + 5740 = 0. Calculate u.\nAnswer: -7, -1, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and 45.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/6*2*-5. Suppose k*p - 6 = -2*o, -3*p - 2 = 5*o + 2. Suppose -5 + p = -z. Solve -5*c + 17 = -z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9452 - -9457. What is the closest to 1 in 0.4, m, -3.9, -1\/26?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 654150 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -75*g**3 + 1 + g**4 - 78*g**3 + 1 - g**2 + 155*g**3 + 5*g to r + q*g + i*g**4 + v*g**2 + b*g**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j + 15 = 4*u, 3*j + 605*u - 39 = 600*u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 5*s - 4. Let w(i) = -i**2 - 6*i + 5. Let j(m) = 5*v(m) + 4*w(m). Let d be j(1). Which is smaller: d or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3.67 + 51.97. Let g = -51.483 + c. Let f = -0.227 + g. What is f rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8)\/(-80) - 6\/(-15). Factor -1\/6*z**4 + 2\/3*z + 2\/3 - p*z**2 - 2\/3*z**3.\nAnswer: -(z - 1)*(z + 1)*(z + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 - -1. Let z(l) = 454*l - 21. Let f(c) = 228*c - 9. Let h(r) = -5*f(r) + 2*z(r). Is h(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -137, -1185, -4157, -10055, -19881, -34637, -55325, -82947?\n\"Answer: -167*w**3 + 40*w**2 + w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*f - 29988 - 6577 = -37*f. What is the remainder when 1115 is divided by f?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 4) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 65 and -0.22.\nAnswer: -14.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.61869 to one decimal place.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 74485 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -23*x**2 - 2*x. Let n(f) = 116*f**2 + 11*f. Calculate -6*n(p) - 33*u(p).\nAnswer: 63*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81445925.\nAnswer: 5, 11, 353, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 273007*l**4 - 343*l**3 - 2640*l**2 - 2720?\nAnswer: 6552168*l - 2058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - (-9 - -16)) + 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2427 and 0.2.\nAnswer: -485.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:54 PM and 10:09 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0.02, -4, -2.1, 1\/11, -1\/6, 1\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 86526007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - -13. Let r be (-4)\/14 + (-2609)\/u. Let m be (-4)\/(-14) + r\/7. What is m rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xdf when three letters picked without replacement from fdxfkk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**2 - 29*u + 60. Let q be x(-28). Calculate the highest common divisor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 402211 smaller than 402208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 6, s: 7}. Give prob of picking 2 s and 2 c.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18676804 divided by -79139.\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -n**4 + 4*n**4 - n**4 - n**4 - 3*n**4 + 5*n**4 + (-3 + 2*n**2 + 3)*(n**2 + 2*n - 2*n) + (-16*n**3 - 6*n**3 + 4*n**3)*(6*n - 3*n - 6*n).\nAnswer: 59*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -6\/5 at most as big as -50\/10231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (6\/(-9))\/(2\/(-33)). Let n = 41 - i. Calculate the highest common divisor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3586*q**4 - 7323*q**2?\nAnswer: -86064*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 637 = -s, 0 = -4*k + 4*s - 2 + 1270. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2133 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 5 + 0)*(-2474 + 1237 + 3*m**4 + 1256) to the form x*m**3 + w*m + s + q*m**2 + z*m**4 and give s.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 69\/16 and (-177)\/18 - (-8 + 2 + 11).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 7*b**2 - 10*b + 12. Let o(k) = 23 - 102*k**2 - 20*k + 0*k + 115*k**2. Let g(u) = 6*o(u) - 11*w(u). What is g(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -m + 4. Suppose -2*k + 32 + 108 = 0. Suppose k - 15 = 5*h. Solve h*t = m*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -522 divided by 1136\nAnswer: -261\/568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*c**4 - 65176*c**3 + 781484*c**2 + 846664*c = 0. Calculate c.\nAnswer: -1, 0, 13, 16282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-61)\/(-84))\/(18\/24) and 20\/63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(((-3*-1*sqrt(245) - sqrt(245)) + 1)*-6 + 1 + 5)**2.\nAnswer: 176400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 246398 and 205683.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c + 60 = -12. Let d be 1\/3 - (-232)\/c. Let m = -1 + d. Is m != -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = h + 18, -52 = 5*h + m + 18. Let p(u) = 7*u**2 + 14*u + 2. Let j(q) = 17*q**2 + 29*q + 14. Let r(o) = 2*j(o) - 5*p(o). Give r(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -5, -1, -7 in increasing order.\nAnswer: -7, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 3*s = -9, 2*m + 0*m = 4*s - 24. Let n = 2 - m. Suppose f - i = 7, 5*f - i + n*i - 3 = 0. Is 3 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-39) + 38\/741 + 6. Let y(l) = -5 + 0 + 0*l - 2*l. Let i(s) = -s + s - 4 - 2*s. Give a*i(z) - 5*y(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 60, -637, -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -l - 0*l. Let w = l + 39. Calculate the remainder when 68 is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 73 = 2. Let z be 6\/9*s*2. Let o be (-2)\/(16\/z) + 9\/6. Solve 4*c = 2*c - o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 60990 is divided by 73.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-868)\/(-210) - 44\/330. Solve -l*g + 5*a - 26 = 0, 3*g + 22*a - 18*a = -4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -10 - 24 + 11 - 4*k + 2*k. Let t be p(-13). Determine c so that 8\/5*c**2 + 4\/5*c + 4\/5*c**t + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 23979930*d**3 + 139*d**2 - 7215*d + 1?\nAnswer: 143879580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26375*p + 26406*p - 79103*p + 2 + 26365*p.\nAnswer: 43*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-9)*w**(-17) assuming w is positive.\nAnswer: w**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 363\/182 - 25\/13. Let n(p) be the second derivative of 0 + 3*p**2 - 6*p - b*p**7 + 7\/2*p**3 + 2*p**4 + 3\/10*p**5 - 1\/5*p**6. Solve n(t) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in twenty-one quarters of a millimeter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0025868 rounded to four dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**2 - 4*l - 94. Calculate m(0).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -2*i**2 + 2*i - 1. Let c be k(1). Let x = -37.4 + 37.2. Let r = 0.5 - 1. What is the closest to c in r, 0, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 709843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b = -2*b - 16. Let q = 10 + -6. Let g(v) = v**3 - 4*v**2 - 2*v - 2. Let m(z) = z. Let d(p) = q*m(p) + g(p). What is d(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -r - 30*r**2 + 2707*r**3 + 83 + 0*r - 83.\nAnswer: 2707*r**3 - 30*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i**3\/5 - 2937*i**2\/5 - 3519*i - 26379\/5 = 0.\nAnswer: -2931, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -39 + 38.6. What is the third smallest value in w, -0.2, -0.24, -3?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (16\/160 - (-421159)\/10) + (-4)\/2?\nAnswer: 2, 3, 7019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 4*c = -2*g + 20, 0 = 2*g - 5*c - 24. Suppose -g*l + 26 = -16. Is l\/12 - (-218)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 35177 (base 8) to base 10\nAnswer: 14975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 35 and 1211.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes after 2:39 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*a + a - 6*a)*(2 + 2 - 6)*((-1 + 2 - 3)*(-2*a + 0 + 0) - 3*a - 2*a + 3*a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*l**3 - 7*l**2 - 2*l.\nAnswer: -l*(l + 2)*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -749955*j**2 - 438913*j wrt j.\nAnswer: -1499910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 91 and 242963500.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 125\/15 + (-4)\/(-6). Suppose z + u - 13 = 0. Suppose 6*c - 3*c - 6 = 0. Calculate the least common multiple of c and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 8*c**2 + 2*c - 1. Let a be l(3). Let p(x) = 4*x**2 - 3*x - 2. Let o be p(4). Suppose y - o - a = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -970*c*x**4 - 2*c*x**2 - 9649*c*x - 2*c - 34241*x**5 + 73*x wrt x?\nAnswer: -23280*c*x - 2054460*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*c + 2 + 42*c + 19*c - 2*c in the form r*c + y and give r.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3520 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 137\/420 + 1\/140. Let q = 5.0158 + -0.0158. Sort -5, q, -3\/5, t in descending order.\nAnswer: q, t, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 79, 697, 2405, 5749, 11275?\n\"Answer: 91*m**3 - m**2 - 16*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11*k**4*p - 1149*k**3*p + k**2*p - 24*k**2 wrt k?\nAnswer: 264*k*p - 6894*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 122*y**2 - 245*y**2 - 18*y**2 - 249*y**2 + 22*y.\nAnswer: -390*y**2 + 22*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11641940?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.161 - -0.341. Let m = q - 73.68. Let k = m + 77.117. What is k rounded to 2 dps?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 83  (c) 118\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 138 and 2027634?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6039718.65 minutes in weeks?\nAnswer: 599.1784375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 14) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.304199 rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 < -5\/4149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 54 (base 8) to base 2.\nAnswer: 101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -39*n**4\/2 - 79*n**3\/2 - n**2 = 0. What is n?\nAnswer: -2, -1\/39, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-4)\/10 - (-63555)\/75)\/(2\/44).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*k + 2*k - 7*k)*((0*k - 3*k + 2*k)*(-5 + 2 - 8) + 7*k + 17*k - 49*k) to w + q*k + h*k**2 and give h.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -6 - -2 - 3 - -2. Is (u\/(-15))\/((-1)\/(-222)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*w + 1596 = -25*w + 27*w. Solve -24*v - w - 44 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(19\/((-950)\/(-105)))\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 3770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20529186 - 10264589 + 3*h**2 - 10264597 + 4*h**2.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence npuq when four letters picked without replacement from prrnuzzpq.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -2354*l - 32991. Determine d(-14).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 3690  (b) -0.3  (c) 2\/3  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 33515688 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*y + 9*y + 0*y + (3*y + 2*y - y)*(3 + 2 - 7) + 1 - 2*y - 1.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1219, 1177, 1135, 1099, 1075, 1069?\n\"Answer: n**3 - 6*n**2 - 31*n + 1255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**2 - 3*f + 2. Let j be m(4). Let a(x) = 3*x**2 + 8*x - 2. Let w be a(j). What is the highest common divisor of w and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 12*l - 23. Determine t(-10).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * -1529976.\nAnswer: 3059952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/80 and -41\/128?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from {q: 2, u: 1, r: 2, o: 1, z: 1, x: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 252 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 + -6 + 3 + -20.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*b**5\/7 - 44508*b**4\/7 - 201294*b**3\/7 - 201582*b**2\/7 = 0. What is b?\nAnswer: -3, -3\/2, 0, 11199\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 2*s**3 + s**2 - s - 1. Let f(i) = i + 1. Let w(k) = 4*f(k) + 4*p(k). Factor w(h).\nAnswer: 4*h**2*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16 + 18. Suppose t + q*t = 5*g + 23, -2*g - 4*t = 4. Which is the nearest to 0.2?  (a) g  (b) -1  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000158294867 to 6 decimal places.\nAnswer: -0.000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 28b - 8579?\nAnswer: -82bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -11*g - 13. Let r be n(-3). Solve -4*x = 5*p + 5 - 0, 4*x = r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17, 5, -71, -235, -511, -923, -1495?\nAnswer: -2251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1120\/9?  (a) 2\/9  (b) -5\/3  (c) 1  (d) 4  (e) -75  (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -1524 - 18*k + 4572 - 1523 - 1525. Let l(z) = -z**2. Give l(b(m)).\nAnswer: -324*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21088606 + 6*m + 21088603 - 42177209 + 4*m - 6*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/12 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 19639708 to the power of 1\/2, to the nearest integer?\nAnswer: 4432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n - 4 - 8. Let i(r) be the second derivative of -1\/2*r**4 - 6*r - 1\/20*r**5 + 5 - 9\/2*r**2 - 2\/3*r**3. Determine i(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-64 - 3) + 1 - (26 - (-38 + 62))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 2*w**3 + 4*w**2 + 4*w. Let a(j) = -10*j**3 - 19*j**2 - 20*j. Let o(v) = 2*a(v) + 11*n(v). Find m, given that o(m) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*j**5 + 102*j**4 + 3218*j**3 - 14118*j**2 + 10800*j = 0. What is j?\nAnswer: -25, 0, 1, 3, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -33 plus 0.009?\nAnswer: -32.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 597*c**2. Let v(y) = -395*y. What is j(v(w))?\nAnswer: 93146925*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/297 and 10\/12 + -1 + (-136)\/(-132).\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 95 = s + 4*s. Suppose s = 4*u + 7. Suppose -19 = -2*b - u*x, 3*x = b + 6 + 7. Solve 5*l - 3*g - 6 = -6*g, b*l + 8 = 4*g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -379787 divided by -109?\nAnswer: 379787\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 = 5*n - 8. What is the third derivative of -1 + 4*s**6 - n*s**2 + 18*s**2 + 1 wrt s?\nAnswer: 480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.4 and -1113512904.\nAnswer: -1113512904.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + 41 + (-2 - 37) + (-1 - 4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.51482l in millilitres?\nAnswer: 8514.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 3 = z + 10, 0 = 2*z - 6. Suppose 63 + 127 = r*s. Calculate the remainder when s is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -2*x - 4. Let q be (-3 + x + -14)*-1. Let t be ((-3)\/2)\/(q\/(-20)). Solve -6 = 2*c - 3*g, -t*g + 2 = -6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4052794.12 to the nearest one hundred.\nAnswer: -4052800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (282810\/12)\/(-11)*(-40)\/(-1). Round w to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 5552*d + 6. Let s(c) = c. Let z(f) = j(f) - 3*s(f). Let k be z(6). What is k rounded to the nearest 1000?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.35, 14, -18?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 7 = -1, 24 = 3*b + 3*l. Suppose -5*k - o = -200, 2*k = -2*o + 75 + b. Let y(m) = k + 12*m - 40. Let p(h) = -2*h. Determine y(p(q)).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11018 + -10629. Is v at most 2715\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/9, -390, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*u**4 + 2759*u**3 - 5*u**2 - 1050*u.\nAnswer: 96*u + 16554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -125818, -127735, -129666, -131617, -133594, -135603, -137650, -139741?\n\"Answer: -r**3 - r**2 - 1907*r - 123909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 - -5. Let c(a) = -a**2 + 8*a + 2. Let y be c(s). Suppose -o + 11 + 31 = 0. What is the greatest common divisor of y and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (58 - 83) + 35 - (7 - -97 - 6)\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -465 + 38*g + 474 - 24*g - 19*g. Calculate t(6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -131267\/28 + 32822\/7. Let z = 2 - 2.6. What is the biggest value in z, q, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 100226*x + 100230*x = -2, -2*y - 2*x = 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 103227624 and 36.\nAnswer: 103227624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2106492 is divided by 8636.\nAnswer: 7944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:01 AM and 3:24 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 3203798, 3203796, 3203794, 3203792, 3203790?\n\"Answer: -2*n + 3203800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33 - (14 + 13) - (-18 - 0).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 381877.\nAnswer: 37, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**2 + 2*p - 6. Let c be a(6). Let u = -7 + 11. Suppose u*d - 2*d = c. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**3 + 4*l + 3. Let i(o) be the third derivative of -o**6\/30 - 11*o**4\/24 - 4*o**3\/3 + 38*o**2 + 2*o. Calculate 8*g(a) + 3*i(a).\nAnswer: -4*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 30 - 0 - (-16 - (11 + -18)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 2 = 3*w + 2, -5*w = 2*p + 28. Let o(v) be the second derivative of v**4\/12 + v**3 + 2*v**2 - v. Determine o(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and -71?\nAnswer: 7.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**3 + 31*b**2 + 32*b + 52. Let a be u(-30). Let x be (-12 - a)*(273\/(-48) + 1). Factor -3 + x*j**3 - 135\/4*j**2 + 18*j.\nAnswer: 3*(j - 1)*(5*j - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u + 18. Let n be j(18). Suppose -4*m + n*o = 3*o - 36, 4*m - 5*o - 4 = 0. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5.879 * -1406.\nAnswer: -8265.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-446)\/(-40) - (-7 + (-224)\/(-35)). Which is greater: d or 11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that u**3 - 36969*u**2 + 341695224*u - 341658256 = 0.\nAnswer: 1, 18484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/(-8)*(-6 + 2). Let p(k) = 4*k - 2. Let g be p(1). Suppose -o - h = 4, 0 = 5*o - 3*h + 6*h + 16. Sort b, g, o.\nAnswer: o, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -20.75152 to two dps.\nAnswer: -20.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 2 = -6. Suppose -q*g = -g. Let i = 10 + g. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*w + 87*w**2 - 46*w + 14*w + 15*w.\nAnswer: 87*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 4*j**4 + j**2 + 4*j - 223. Let g(a) = a**4 - a + 1. Let y(p) = 4*g(p) + t(p). Differentiate y(q) wrt q.\nAnswer: 32*q**3 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 264073792.\nAnswer: 2, 101, 40853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 8) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 + 29*k**2 + 53*k - 32. What is d(-27)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 526\/3 + 23\/(-69)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 16796729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -16 + 4 + 5 + k - 1. Give l(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -90 + 138. Suppose -4*b = 4*i - 2*b - 64, 3*b - g = -3*i. Suppose -i*u + 19*u = 117000. What is u rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000377 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1500) - (sqrt(1500) + (sqrt(1500) - sqrt(1500)*1 - sqrt(1500)) - sqrt(1500))) + sqrt(540)*-2)\/(6*-2*sqrt(27)).\nAnswer: -2*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/94342 and -5\/473?\nAnswer: 1037762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/6*4\/2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*g + 5*k + 30, -23 = 4*g - 14*k + 15*k for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oooooqoooooooooooo. What is prob of sequence ooqo?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1458 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the second derivative of 13*k**3\/6 - 37*k**2\/2 + 4*k. Let v be q(9). Factor -43 + 40*m - 4*m**2 + 23 - v.\nAnswer: -4*(m - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 245 + -4?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes after 10:48 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 177, 690, 1553, 2772, 4353, 6302, 8625?\n\"Answer: m**3 + 169*m**2 - m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2062618 and 5.\nAnswer: -10313090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*h - q - 2*q, -25 = -5*q. Let c = 5 - h. Let i(r) = -r - 17. Determine i(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*10\/720*8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1821749.\nAnswer: 1821749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -170681, -170594, -170507, -170420?\nAnswer: -170333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28274 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 3 - 2)*(-t**2 - 2*t**2 + 2*t**2 - 4*t**2 - t**2 + 4*t**2 + (3*t - 4*t + 0*t)*(2*t + 3 - 3) + 2 - 4*t**2 - 6 + 6) as y*t**2 + u*t + x and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z - 12. Let u(o) = -2*o + 25. Let n(s) = 11*d(s) + 6*u(s). Is n(10) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.7835847 to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (19*i**3 + 190*i**3 - 38*i**3)*(5 + 0 + 0)*(-7*i + 4*i - 11*i) to c*i**2 + f*i**3 + d*i**4 + t*i + w and give d.\nAnswer: -11970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -207 = -94*o + 75. Solve -o*s - 8 = w + 5, w = s + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of y**3\/6 - 21*y**2\/2 - y. Let m = 473 + -456. Let j be u(m). Let f(w) = -w**3 - 3*w**2 + 4*w + 4. Determine f(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 46706 and 4764?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 47442744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-124)\/(-637) + (15\/(-60))\/((-39)\/(-24))?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n - n + 0*n)*(n**3 + 0*n**3 + n**3) + ((-n**2 - 3*n + 3*n)*(0*n - n + 3*n) - 3*n**3 + 2*n**3 - n**3 - 5*n**3 + 8*n**3 - 9*n**3)*(2*n - 12*n - 5*n).\nAnswer: 152*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -371*p - 361. Let g be t(-1). Let r = 0 + 4. Solve 6*a = g*a - r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 5*m + 9. Let l be w(-2). What is the closest to -2\/5 in -0.3, 1, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the first derivative of -1\/4*q**5 - 65\/12*q**3 - 5*q + 15\/8*q**4 + 15\/2*q**2 + 29. Factor a(s).\nAnswer: -5*(s - 2)**2*(s - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12187374299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-2 - -1)\/(38\/(-17176))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 2158798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 4*b + 10. Let m(l) = -4*l - 9. Suppose 25 = 5*f - 10*f. Let z(k) = f*m(k) - 4*x(k). What are the prime factors of z(26)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.51 + 0.91. Let c be 4*(5\/(-20))\/(2\/12). Let a be ((-1 - 0)\/c)\/((-27)\/18). What is the biggest value in 4, 2\/3, a, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 AM and 2:07 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 78 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -146*k + 3*k = -93*k - 2200 for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -798 + 7211\/9. Let a(n) = n - 1. Let p be a(2). Calculate the common denominator of x and 265\/45 + (p - 1\/(-1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 147 a factor of 46548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -193c090 + -6?\nAnswer: -193c096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (14\/105*10)\/(-34*36\/(-43146))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 195 + -92. Suppose 5*q + 8 - f = 0. Calculate the remainder when q is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65*c - 46 = -5*s - 68*c, -2*s + 49 = 3*c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes before 5:12 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(297)*-1 - sqrt(264)\/(sqrt(8)*-1))\/((sqrt(36) + (2*sqrt(396))\/sqrt(11))\/((sqrt(24) - sqrt(24)*-1)\/sqrt(2))).\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -40, -88, -124, -142, -136, -100?\n\"Answer: b**3 - 55*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -995634.\nAnswer: 1\/331878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -20*z**3 - 48*z**2 + 17*z - 28. Let g(h) = 7*h**3 + 17*h**2 - 6*h + 10. Let m(c) = 17*g(c) + 6*i(c). What is m(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -128*x + 972. Let d(p) = 55*p - 486. What is 7*d(m) + 3*o(m)?\nAnswer: m - 486","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -8 + 12 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*y - 1877*o - 150 = -1879*o, -9*y = -3*o - 21 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes after 7:56 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 + 14. Suppose -t*d + 16 = -3*d. What is the remainder when d is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6103\/9159 + -1\/3053. Which is the third biggest value?  (a) -9  (b) 1\/2  (c) -0.5  (d) -0.1  (e) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 4*u - 50*u**3 + 0*u + 22*u**3 + 24*u**3. Let z(s) = -s**3 + s. Determine w(d) - 5*z(d).\nAnswer: d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 2*c - 19. Let b be p(8). Let m be b - (16\/(-28) + -2). Let g = -2 + 3. Which is bigger: m or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -7.4, 4, 611781\/13?\nAnswer: 611781\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fmfmmmmmm. What is prob of picking 1 m and 1 f?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -42 + (2 - 3)*(-9 - -34 - 18)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7) + sqrt(448)*4)**2 - (sqrt(70) - -1*sqrt(70))\/sqrt(10)) + 3 + -2.\nAnswer: -2*sqrt(7) + 7624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110100 (base 2) to base 7.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -480, -961, -1442, -1923, -2404, -2885?\nAnswer: -3366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -232932*h + 232946*h - 518 for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -90 or -620\/7?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -170, -332, -490, -644, -794, -940, -1082?\nAnswer: -1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12 - 8. Suppose o*c = -a + 3, -c + 3*a + a - 12 = 0. Suppose -3*b + 2 + 1 = c. Put b, -4, -1 in ascending order.\nAnswer: -4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the first derivative of i**3\/3 - 21*i**2\/2 - 354*i - 7583. Give a(32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, s: 2, y: 2, x: 3, t: 1, m: 3}. Give prob of sequence st.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppc when three letters picked without replacement from {c: 2, q: 4, v: 1, p: 2, j: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 32*x**3 - 4*x**2 + 13*x. Let f(r) = 32*r**3 - 3*r**2 + 12*r. Let v(z) = 4*f(z) - 3*k(z). What is the second derivative of v(y) wrt y?\nAnswer: 192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.16 and 0.051?\nAnswer: 0.00816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 507*d**2 - 514*d + 7. Let r(g) = 254*g**2 - 256*g + 3. Let c(i) = 3*l(i) - 7*r(i). Find the second derivative of c(h) wrt h.\nAnswer: -514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1571*w - 3965 = 778*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + 2 + 6 + 13 + -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -541 + -127?\nAnswer: -668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28503316?\nAnswer: 2, 7125829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15)\/(3*sqrt(5)) + (sqrt(3) + (sqrt(108) + 2 - sqrt(108)) - sqrt(3)) + (4 + (sqrt(300) - (-1 + sqrt(300))))*2)**2.\nAnswer: 8*sqrt(3) + 433\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 12 = 2*v - 3, 4*v = -4*y + 56. Suppose u - 361 = -4*k, -4*u = -0*k - 3*k + 285. What is the highest common divisor of y and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + ((sqrt(288) - -1*sqrt(288))\/sqrt(8))\/((sqrt(192)\/sqrt(4))\/sqrt(4)) + 5)*1.\nAnswer: 2*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -2*y**5 + 974*y**4 - 20790*y**3 + 154378*y**2 - 432160*y + 297600 = 0.\nAnswer: 1, 5, 8, 465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes before 8:08 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5012414, -5012417, -5012420, -5012423, -5012426?\nAnswer: -5012429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2 + 9 - 50 + 8*g**2 wrt g?\nAnswer: 16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 8*d - 26. Let y be r(5). Let s(i) be the third derivative of i**5\/60 - 5*i**4\/8 + 13*i**3\/6 + 608*i**2. What is s(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 649497, 1299181, 1948865, 2598549, 3248233, 3897917?\n\"Answer: 649684*t - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve m = 2*g - 18, -46*m = 131*g - 127*g - 132 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -368 - -751. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**2\/4 - 4277783*l\/2 - 18299427395089\/4.\nAnswer: -(l + 4277783)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 253*r + 88*r - 24*r.\nAnswer: 317*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 3, w: 4, p: 2, q: 1}. What is prob of picking 1 w, 1 q, 1 p, and 1 o?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 47  (b) 6163  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*b = 25*b + 4*h - 43, 0 = -2*b - h + 14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - (24\/(-2) + 13 - (-82)\/(-8)).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -17*g**3 + 6*g**2 + 23. Let i(k) = 17*k**3 - 7*k**2 - 24. Let s(t) = -6*i(t) - 7*y(t). Differentiate s(v) with respect to v.\nAnswer: 51*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1421, -7479, -17571, -31703, -49881?\n\"Answer: -q**3 - 2011*q**2 - 18*q + 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**3 + 8*j**2 + 5*j - 6. Let h = -8 - -18. Suppose -h = q + q. Let y be d(q). What is the greatest common divisor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 182976976 divided by -38668.\nAnswer: -4732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 37 + -36. Suppose s - 113 = -41*h + 44*h, h + 4*s = -29. Sort -2, h, y in descending order.\nAnswer: y, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3750 divided by 223\nAnswer: -3750\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -4121400 (base 5) in base 15?\nAnswer: -14d35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 131 = 123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 325.0357 litres to millilitres.\nAnswer: 325035.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1000\/(-70))\/((19\/(4256\/84))\/((-21)\/20))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mfyfimmycf. What is prob of picking 1 m and 1 i?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.1 or 470?\nAnswer: 470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 25739326 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 135886 - 4?\nAnswer: 135882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 - 13 = -11*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -7371 + 374393551\nAnswer: 374386180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 97*c + 105*c - 2 as o*c + p and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) 81473  (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28 is divided by 18 + 5\/(3 + -8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 + 15\/3 + -1. Suppose 3*j - n*j + 60 = 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 + -3a809?\nAnswer: -3a80a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 314 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) -4\/7  (c) 4\/7  (d) -3  (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -632*o + 6 + 578*o + 3 to m*o + f and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 32*f**3 - 4*f**2 + 3*f - 3. Let k be s(-4). Let y be k\/(-6) + 3\/(-2). Suppose 200 = 7*m - y. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*t + 23*t - 8 = 0. Let a(c) = -3*c**2 + 6. Let s(r) = 7*r**2 + r - 11. Let l(j) = t*s(j) + 9*a(j). What is the units digit of l(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -46, 0, -2, 5, 4, -21 in decreasing order.\nAnswer: 5, 4, 0, -2, -21, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01542772749 rounded to 5 decimal places?\nAnswer: 0.01543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 28 = -4*c, -3*m + 2*c = -m - 22. Let q be ((-135)\/(-84))\/5*m\/3. Find z, given that -2\/7 - 4\/7*z**2 - 4\/7*z**3 + q*z**4 + 6\/7*z - 2\/7*z**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 79 and 158?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**2 + 221*s + 22787. Determine x(-77).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1773 + 10699\/6. Find the common denominator of -127\/1010 and j.\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2890f + 3?\nAnswer: -2890c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 27529641*b**6 + 46*b**2 - 10723*b?\nAnswer: 3303556920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 46, -106, 3, -2, 0 in decreasing order.\nAnswer: 46, 3, 0, -2, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 206 divide 29574802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**8*f*f*f\/f**(-6\/11))**(-9\/2)*(f*f\/(f**(-7)*f)*f**7)**(-2\/45) assuming f is positive.\nAnswer: f**(-3473\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 + -58 + (0 - -4) - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 2*t - 2 = 0. Is t*((1 - 3) + 27) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-11))**(12\/5)\/(y*y*y*y**(-2\/41)*y\/y**(-3\/20)*y))**(-27) assuming y is positive.\nAnswer: y**(697437\/820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.789518 less than -12?\nAnswer: -8.210482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*j**2 + 3*j**2 + 5*j**2)*(-33 - 158 - 32) as x*j + k + p*j**2 and give p.\nAnswer: -1338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -84 - -86. Suppose -3*d - 5*n = -1000, -3*n + 330 = d + u*n. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the third derivative of -p**7\/210 - 4*p**6\/15 - 32*p**5\/5 - 256*p**4\/3 - 2048*p**3\/3 + 4*p**2 - 5*p. Let t(c) = 0. What is c?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 79700 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (35854\/10048)\/1 + (-9)\/3. Let p = 825345\/157 + -5257. Let s = z - p. Calculate the common denominator of s and 39\/22.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 376161?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 42 and 1128.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1035.5 - -1041.5. Which is the nearest to x?  (a) 3\/7  (b) -1\/7  (c) 1\/4  (d) -0.123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2852\/15 - -1254\/5. Let f = 51 - y. Find the common denominator of -127\/30 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -73810, -147429, -221050, -294673, -368298, -441925, -515554?\n\"Answer: -i**2 - 73616*i - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 654297 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -133 divided by 4.\nAnswer: -133\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, 1, 4\/5, 4\/11, -0.106 in increasing order.\nAnswer: -0.106, 0.2, 4\/11, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + l - 1)*(-397 - 2652 - 1340).\nAnswer: -4389*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 4 = -4*n + 5, -n = -3*z + 6. Suppose n*f - 2*f = -2. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 4, z: 7}. Give prob of picking 3 r and 1 z.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 143*z + 624*z - 6903 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4112221.\nAnswer: 131, 31391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + (-6 - -2) - -18) + -201 + 204?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-8)*y*(y\/(y\/y**(-4\/9)))\/y)\/(y**(3\/2)\/y**2) assuming y is positive.\nAnswer: y**(-143\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v**2 - 14*v**2 + 3 - 2.\nAnswer: -15*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -614654 (base 8) in base 15?\nAnswer: -40305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -123 + 25*x**3 - 46*x**3 + 86 + 18*x**3 - 325.\nAnswer: -3*x**3 - 362","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -5*w - 462, -1824 = -4*q - 0*q - 4*w. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2211*g = -1022*g - 1119*g + 1890 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 57 + -31. Let i = n - 4. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.07 + 2251644812.\nAnswer: 2251644812.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -36 - -36.4. Let v = -41 + 163\/4. Which is the smallest value?  (a) v  (b) 1  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three tenths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -28.91?  (a) 5  (b) 1\/2  (c) -0.05  (d) 0.57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1357424530?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from {y: 2, e: 4, p: 7}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gh when two letters picked without replacement from {h: 3, v: 2, g: 9, p: 3}.\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 18 = -2*k. Let i be 4\/30*k\/(-3). Let d = 0.6 - 0.6. What is the nearest to 3\/8 in -1, d, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -3*m - 6, 4*j + 5*m - 9 = 15. Suppose -3*w + j*w = 33. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 898079*c**2*t**2 + 2809562*c**2 + c*t**2 wrt t?\nAnswer: 1796158*c**2*t + 2*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*v**(-4\/3))\/(v\/(v*v\/(v\/v**28)*v))*v\/((v**21*v)\/v*v)*v*v*((v**(-15)*v)\/v*v)\/v assuming v is positive.\nAnswer: v**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 929 - 928.593. Let q = a - 2.407. Which is smaller: 10 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -68 times -781551?\nAnswer: 53145468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -222 - 188 = 2*w. Let m be (41\/3)\/((-2)\/(-72)). Let i = w + m. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-16)\/(-54)*3\/4. Suppose 0 = 3*y - 0*y + 6. Let k be 4*(y\/20)\/1. What is the nearest to k in -3, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 81 + 0 = 0. Let m be 1*2*t\/(-6). Is 453\/6 - m\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + -18 - (3 + -107 + 33).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 357651330 and 321886197.\nAnswer: 3218861970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -1958*d**2\/7 + 1950*d\/7 + 8\/7 = 0.\nAnswer: -4\/979, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -ce729 (base 16) to base 4.\nAnswer: -3032130221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*r**3 - 11 + 100 + 2*r**3.\nAnswer: -r**3 + 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**3 - 9*k**2 - 5*k - 9. Let c be b(-9). Let n = -40 + c. Sort -1, n, -3, 1.\nAnswer: n, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (9\/15)\/((-90)\/(-100)). What is the fourth smallest value in 6, -2, 0.4, q?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24 + -44. Let k = n + 43. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.87 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9544178 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 5*c + 811 = 0, -5*c - 1285 = -5*t - 10*c. Suppose 5204*u + 1052 = 5208*u. Which is greater: t or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z + 1. Let l = 5 + -4. Let y be d(l). Suppose 2*m + y*m - 4 = 0. Solve -m*i - 4 = 3*j + 1, 0 = -j + 4*i - 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -472*n + 907*n + 254*n + 102 - 102 - n**2.\nAnswer: -n**2 + 689*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnpnpqnvpnqnvxp. What is prob of sequence xpnq?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**3 + 10. Let z be m(0). Suppose 4*g = -z + 2. Let k be g\/(-6) - (-33)\/9. Put 0, k, -3 in decreasing order.\nAnswer: k, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*g = -36*g - 2232372. Let n = g + -701062. Round n to the nearest 10000.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -121956470 rounded to the nearest 1000000?\nAnswer: -122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*d - 561 = -72*d + 170*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 5*i - 18, 3*i + 23*f - 27*f = 4. Let j = 3 + 1. Solve -2*s = i*z + j + 4, z + 3*s = 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 954 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 287.0998 centuries to millennia.\nAnswer: 28.70998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15375?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81218892.\nAnswer: 2, 3, 239, 28319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 - 8*w**2 - 7*w - 39. Let a be g(-9). Let q(u) = u + 42. Let h be q(0). Calculate the greatest common factor of a and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 87*o**2*u + 8*o**2 - 3*o*u - 14 wrt o?\nAnswer: 174*u + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -45*m + 3. Let w be a(-3). Let n be 16\/10*35\/14. Suppose 2*o + 4*b - 67 = b, -n*o - 2*b = -w. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the third derivative of h**5\/20 - 77*h**4\/24 + 49*h**3\/6 + 75*h**2. Let w be o(25). Suppose 3*c + 7 - 16 = 0. Sort w, 1\/4, c, 0 in descending order.\nAnswer: c, 1\/4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f**2 + f. Let b be n(-1). Let o = b - -6. Suppose -2*h + o*h = 42. Is 21 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 30 - 25. Let x = -0.7 - 0.3. Let b = x + m. What is the third biggest value in 1\/3, -1\/4, b?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -8*x + 16. Let z be t(1). Solve -z = 9*g - 17*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 11707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -y**5\/4 - 49*y**4 - 10889*y**3\/4 - 63463*y**2\/2 - 127491*y - 149058 = 0.\nAnswer: -91, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u + 5*u + u)*(-6 + 3 + 4 + 5*u).\nAnswer: 20*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 + -142?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2530 (base 11) in base 7?\nAnswer: 12423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24198 is divided by 4031?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the second derivative of 0 - f + 0*f**2 - 1\/6*f**4 - 1\/3*f**3. Let p(w) = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:05 AM and 9:27 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1657890*g**2 + 1385109*g wrt g.\nAnswer: 3315780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -23 + 26. Suppose 13*g - c*g = 280. Let k be (g\/(-4))\/(1\/(-22)). Calculate the highest common factor of 22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -10437 and -10491 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and -124.\nAnswer: -12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:44 PM and 9:51 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:43 PM and 8:16 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-609)\/638*55\/((-11935)\/1612).\nAnswer: 78\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**2 + 4*o. Let l be t(-3). Let p(h) = -h**2 - h + 6. Let n be p(l). Factor n + s**2 + 1\/2*s.\nAnswer: s*(2*s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes before 7:38 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 101110212010 (base 3) in base 9?\nAnswer: 343763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -726, -1454, -2172, -2874, -3554, -4206, -4824, -5402?\nAnswer: -5934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 2*q - 4. Let m be s(4). Put 9, -4, m in descending order.\nAnswer: 9, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -11*m**3 - 5*m**2 + 2*m. Let d(y) = -12*y**3 - 6*y**2 + 3*y. Suppose -69*n - 15 = -64*n. Let l(c) = n*z(c) + 4*d(c). What is h in l(h) = 0?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -28*j + 82. Let f be v(3). Let n be 0\/((-6)\/12*f). Solve 3\/4*t**3 + 5\/4*t**2 + n + 1\/2*t = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o + 1 - 1)*(-3*o**4 - o**4 + 0 - 2).\nAnswer: 8*o**5 + 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -6 + (7 - 12\/4). Let m be (u\/8)\/((-1556)\/48)*-2. Let x = -14764\/1167 + m. Find the common denominator of 79\/12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v + 31 = g, -6*v + 3*v + 27*g = 23*g + 39 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -77 + 3?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 36 = -4*w, 3*w + 0*w = 4*h - 52. Let r be (-5)\/15*h\/(-3). Factor 4\/9 - 26\/9*t**3 - r*t**4 - 2*t**2 + 2\/9*t.\nAnswer: -2*(t + 1)**3*(5*t - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.63 minus -553.93?\nAnswer: 551.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:55 AM and 4:36 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2138.\nAnswer: 2, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -7320 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 412333*q + 253802 wrt q.\nAnswer: 412333","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a century in months?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3298, 4478, 5658, 6838?\nAnswer: 8018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -34*p**5\/7 + 26*p**4\/7 + 8*p**3\/7 = 0. What is p?\nAnswer: -4\/17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(-32)\/t*t*t*t**23)**(-43))**(3\/8) assuming t is positive.\nAnswer: t**(903\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -564 = -f - 18*x - 15*x, 389*f = 385*f - x - 0*x + 29 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(704)*-2 + sqrt(22)\/sqrt(8) - (1 + 1*sqrt(99)))**2.\nAnswer: 37*sqrt(11) + 15079\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 167036940?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 2*t**2. Let j(i) = -3*i - 7. Let d be j(-3). Let l(u) = 9*u**d - 7*u**2 + u**2. Determine l(z(a)).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2200001122 (base 3) to base 10.\nAnswer: 52532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (396\/207)\/((-918)\/21114).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 50 - 53.3. Let p = b + 21.3. Let d = -16897 - -16898. What is the second smallest value in d, p, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -96*f = -95*f - 53. What is the remainder when 211 is divided by f?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 - 48 = 4*j - h, 0 = 5*j - h + 4. Let s(i) = -i - 5. Give s(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 + 12. Let a = -51629 - -51633. Put n, a, 0.04, 0.5 in increasing order.\nAnswer: 0.04, 0.5, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -4*m**2 + 2852*m + 5695. Give p(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 4, -2, 2 in ascending order.\nAnswer: -5, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*n + 3116*u - 3121*u + 36, -18 = -3*u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 9  (b) -6  (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 3*j - j = -52, 3*g = -5*j + 39. Let k = 14 + 2. Let q = k + g. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -7*b. Let g(n) = -208779*n**2. Determine a(g(f)).\nAnswer: 1461453*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53*d = -251*d + 4560 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 6*b - 1. Let i be s(1). Suppose 4*l + 2*r = 6, -r = -2*l - 0*r + i. Solve l*g + 3 = 13 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.1 + -0.1. Let l = 5 + -12. Let y(z) = z**3 + 8*z**2 + 6*z - 8. Let m be y(l). Which is the second biggest value?  (a) m  (b) -0.4  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n + 21 = -3. Suppose -5*z - 125 = -5*j, 2*j + 3*z = n*z + 47. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61556202 is divided by 18502?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28, 48, 68?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 39447849*f**4 + 17*f + 999947 wrt f?\nAnswer: 473374188*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18*r**2 - 70*r**2 - 204*r**2 + 2*r + 0*r**2 to the form l + t*r**2 + q*r and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3054 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -0.3519521 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 49 (base 13) to base 16.\nAnswer: 3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2649?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes after 6:51 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-205)\/(-5740))\/(1\/(-48))\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 15 = 3*q, -y - 5 = 2*q. Let m be (-2416)\/(-16) - -3*y. Let k = -18 - -32. What is the highest common factor of k and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**3 + 10*j**2 - j + 5. Let w be t(10). Let p be (-4)\/10 - 5422\/w. Let v = p - 713. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 963*o - 4. Is g(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b - 15, 3*d + 9 = 4*b - 17. Let h(g) = -g**2 + 7*g - 9. Let u be h(6). Let i be 2\/(-6)*-3 - u. What is the nearest to i in -1, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 83157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -1838*b - 71157. Determine x(-39).\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 6, y: 2, f: 5}. What is prob of picking 4 f?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5839 - -5843. Solve 2*z = -2*n, c*z + 5*n = 4 - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**2 + q. Let y be n(5). Suppose 0 = 3*v + 2*v - y. Let s be 3*(8\/6 - 0). Solve 0 = -s*f + v - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 84843*g**2 - 170022*g**2 + 85018*g**2.\nAnswer: -161*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 3*h**2. Let f(w) = -787*w**2 - 80 - 1632*w**2 + 668*w**2 + 80. Determine g(f(i)).\nAnswer: 9198003*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -150*p - 44 = -161*p. Suppose -p*n + s + 153 = 0, 4*n - 150 = -9*s + 7*s. List the prime factors of n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 18*f**2 + 187*f + 1080. Calculate x(-6).\nAnswer: 606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g + 24. Let w(f) = 2*f**2 + 11*f + 28. Let d be w(-3). Let s(p) = 2*p - 52. Let h(a) = d*m(a) + 6*s(a). Let t(o) = -419*o. Calculate h(t(r)).\nAnswer: 419*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0\/(-16) - (-1 - 32). Let i be (-225)\/o - (-2)\/(-11). Which is the biggest value?  (a) i  (b) 0.4  (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -589, -2423, -5493, -9805, -15365?\nAnswer: -22179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 75926, 303752, 683476, 1215110, 1898666, 2734156, 3721592?\nAnswer: 4860986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -46 less than 900853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 326 - 8?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -5*k + 5*f - 0*f, 0 = k - 5*f + 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 22 - -11?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 24 - 17. Suppose 10 = o + l. What is the remainder when 26 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3*2)\/(3\/2). Let m(d) = 4*d**2 + 6*d + 10. Let z be m(-5). Suppose i - z = -g*i. What is the greatest common factor of 40 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37780?\nAnswer: 2, 5, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 11239 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -3*y**2 + 5*y - 5. Let c(d) = -6*d**2 + 9*d - 9. Let i(l) = -5*c(l) + 9*k(l). Let n = 185 - 102. Let g(m) = -83*m + n*m - 2*m**2. What is g(i(u))?\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * -15819210\nAnswer: -3163842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04 less than 2.301134?\nAnswer: 2.341134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 + 71 = 4*g. What is the highest common factor of 180 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*i**3 + 5*i**3 + 13*i**2 + i**3 - 5*i**3 + 2*i**3.\nAnswer: -2*i**3 + 13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (317 - 2090 - 2134 + 1007)*(f - 3*f - f) as i + o*f and give o.\nAnswer: 8700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.24 and 3?\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {y: 6, m: 1, t: 10}.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*t**3 - 3*t**2 + t**2 + t**4 + t**3 in the form b + d*t + o*t**3 + p*t**4 + i*t**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 66775 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 + 61. Let h(b) = b**3 - 8*b**2 + 8*b + 7. Let a be h(7). Calculate the highest common factor of a and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 196335.83725 + 0.16275. Let l = q + -196328.40044. Let z = l + -7.6. Round z to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide (-12314)\/(-14) + (-285)\/(-665)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -s + 2*g, -3*s + 0*g - g = -29. Let j be (-4*(-2)\/4)\/2. What is the highest common factor of j and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -91.85*0.575.\nAnswer: -52.81375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1139*p**2 + 2304*p**2 - 1139*p**2.\nAnswer: 26*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-1 + -2*sqrt(2) + 0) + 0 + (1*(sqrt(162) + 1))**2.\nAnswer: 14*sqrt(2) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 103916501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/(-10) + 1023\/5. Let f be 2748\/(-3206)*(-1)\/(3\/287). What is the greatest common factor of x and f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -69?\nAnswer: 4\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 116 - 24?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -144\/7  (b) -65  (c) 1\/8  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**2\/3 - 6245*q\/3 + 2914396\/3.\nAnswer: (q - 5737)*(q - 508)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 - -91495775452?\nAnswer: 91495775452.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 4*z**2 + 2*z. Let p(n) = n**3 + 17*n**2 + 9*n + 1. What is -9*b(m) + 2*p(m)?\nAnswer: 2*m**3 - 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1391013935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the second derivative of -72*q**6\/5 - 131*q**4\/3 - 262*q. Find the third derivative of b(a) wrt a.\nAnswer: -10368*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 98 and 7749.\nAnswer: 7847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 214\/28 + (-1)\/(-2) and ((-4)\/(-10))\/((-16)\/(-35))?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 216 and 47376?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 3*v + 2*b - 19, -4*v - 3*b + 17 = 0. Let c be (0 - 0) + v\/9. Does c = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the third derivative of b**6\/120 - b**5\/4 - 5*b**4\/8 - 3*b**3\/2 + 2088*b**2. What is r(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2636261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 4497*186.8\nAnswer: 840039.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10424300 and 900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 - 313904.7555.\nAnswer: -313904.7555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 39  (b) -1  (c) -234\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4b0101 + -3?\nAnswer: -4b0104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -36*t + 10. Let z be r(-7). Let j be (-1)\/(3 - z\/87). Suppose -b = 507 - j. Round b to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7835*h + 1079*h - 1236*h - 3104*h.\nAnswer: -11096*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the third derivative of 1643*c**7\/210 + 53*c**5\/20 - 352*c**2. Find the third derivative of l(p) wrt p.\nAnswer: 39432*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i = -107 + 37. Let p(q) = q**3 + 11*q**2 + 4*q - 6. Does 13 divide p(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dxdl when four letters picked without replacement from {l: 2, w: 1, x: 9, d: 7}.\nAnswer: 21\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -2*x, 2*x - 5 = -4*a - 9. Solve 0 = -x*c + 2, -3 = q + 2*c - 4*c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 897 - 149. What are the prime factors of j?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -126196, -243812, -361428, -479044, -596660?\n\"Answer: -117616*g - 8580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 8*o - 9. Let m be i(6). Solve -m + 14 = -5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 4*t**2 + t. Let r be k(-1). Suppose -2*h + 4*l = -10 - 8, 0 = -r*h + l + 32. Calculate the remainder when h is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -237 = -5*f + r, 0 = -3*f + f - 3*r + 88. Let v = -30 + f. What is the remainder when 45 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -629 less than -8901912?\nAnswer: -8901283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 396324, 396326, 396328, 396330, 396332?\n\"Answer: 2*q + 396322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28\/4 - 819\/156.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12292 is divided by 124.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -2, -109 in increasing order.\nAnswer: -109, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10 + 8.7. Let y = 1.2 + t. Which is the second smallest value?  (a) 4  (b) 1  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -29  (b) 3.6  (c) 14  (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*x - 70*x**2 + 12*x to the form r + s*x**2 + b*x and give s.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 28 = -a. Let h = a - -24. Let p = h + -6. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvvvvv. Give prob of picking 3 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + 46 = 70 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the third derivative of -q**5\/60 - q**4\/8 + 7*q**3\/6 - 5*q**2. Let d be c(-5). Let v = 119 - d. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4106*f**3 - 5572.\nAnswer: -12318*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/12 and 59\/1184.\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1780896 by 96.\nAnswer: 18551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 131 or 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:37 PM and 3:23 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 53732 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: (2\/(-112))\/((-182)\/(-1456))*1\/1*-6\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -1054  (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 212023.\nAnswer: 7, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h**2 - 4*h + 4*h + (3 + h - 3)*(3*h + 0*h + h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 40280006?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ex when two letters picked without replacement from {e: 8, x: 4, v: 2}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 11) + -1 - -29\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -70 times 0.5?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000015182 to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-84 - -3)*18\/(-54) and 447.\nAnswer: 4023","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -91515810 <= -91515811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 718, -6, -311 in descending order.\nAnswer: 718, -5, -6, -311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 5066006 greater than 5066100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 q when three letters picked without replacement from {q: 3, j: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**3 - 5*x**2 - 2*x + 3. Determine o(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = 4*x + 10*w - 6737, -5*x + w = -8414. What is the greatest common factor of x and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 112 and 2930648?\nAnswer: 5861296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*-6*-3*(sqrt(1573) - -2*(1 + sqrt(1573))))**2.\nAnswer: 42768*sqrt(13) + 4588164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -371396*z - 4 - 2 + 2*z**3 + 185701*z + 6 + 185695*z.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 442 a factor of 8030256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -40 in -3, 3\/4, -0.3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vn when two letters picked without replacement from {l: 1, o: 4, n: 4, c: 4, v: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 36251638, 36251638, 36251640, 36251644, 36251650?\nAnswer: 36251658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -781 (base 16) to base 5.\nAnswer: -30141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(374)\/sqrt(396))\/(sqrt(2)*1*-1).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9385513 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 196\/(-180) + 12\/10. Let f = -5.6 - -6. Let k = f + -0.3. Put d, -0.2, k in ascending order.\nAnswer: -0.2, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the third derivative of a**4\/12 + 4*a**2. Suppose -w = -5*w + 40. Let y(n) = 5445 - 5445 - w*n. What is 16*s(u) + 3*y(u)?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 14480 or 159270\/11?\nAnswer: 14480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11.9501398 + 11.949. What is h rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*s - 5*s - 9*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 251 - 229. Is t not equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6.6 - 7. Let l = 0.2 + 0.8. What is the closest to l in w, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*v + 42*v = 1794. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 - -15. Does p = 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1\/2291 - -4114643\/16037. Let h(k) = 28*k + 4. Let u be h(9). Let p = l - u. Sort p, -4\/7, -5 in decreasing order.\nAnswer: p, -4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -2*v**3 + 4*v**2 + 7. Let u(n) = -2*n**3 + 3*n**2 + 6. Suppose -188 = -8*j + 980. Let a = -149 + j. Calculate a*b(z) + 4*u(z).\nAnswer: -2*z**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1\/(-1))\/((-1)\/2). Suppose -v*p = -0*p - 22. Suppose -b = -p + 2. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + v = -5*j + 91, 4*j - 167 = v. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**2 + 13*v - 14. What is the remainder when 63 is divided by c(-15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 607 = 2*t, 2*a - 485 = -2*a - t. Let q = a - -52. What are the prime factors of q?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 7*l**2 + 86*l - 25. Calculate the remainder when 142 is divided by r(-13).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o + 2*o + h + 16, 16 = o - 3*h. Suppose 5*d = 5*i + 4*d + 9, -o*i - 3*d - 11 = 0. Let x be 2\/(-20) + (-2)\/4. Is x less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 31*y + 138*y + 517*y in the form k*y + g and give k.\nAnswer: 686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4*(-3)\/30)\/(5\/(50\/(-8))).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 5 - 10 = 0. Let v = -11 - j. Suppose n = d + 31, -4*n - v*d - 56 = -6*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 271, -3, 1, 10 in decreasing order.\nAnswer: 271, 10, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3721, -29777, -100511, -238261, -465365, -804161?\nAnswer: -1276987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -82*j**3*k**2 + j**3*k - 441*j**3 - 695*j**2*k - 31*k**2 wrt j.\nAnswer: -492*k**2 + 6*k - 2646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 2563.9504 to the nearest ten.\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 take away 352692.668?\nAnswer: -352692.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-2\/7))**(-46)*(o**(2\/7)*o)**(1\/31) assuming o is positive.\nAnswer: o**(2861\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 209817*g**2 + 0 + 4*g**3 + 209824*g**2 as m*g**2 + v + r*g + b*g**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**3 + g**2 - 3*g + 2. Let m be w(0). What is the tens digit of 21\/m*(-8)\/36*-21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0 - 3) + 6\/(-14)*-7. Solve b = 4*a - 5*a - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**3\/11 - 16*f**2\/11 - 29*f\/11 - 14\/11.\nAnswer: -(f + 1)**2*(f + 14)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c**3\/3 + 8299324*c**2\/3 + 8299330*c = 0.\nAnswer: -3, 0, 4149665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - 2*a - 86, -2*a + 4*a = -q + 26. Let m = -845 - -848. Solve 4*y - q = 3*l + l, 4*y + m*l = 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1*6)\/(-2)*703\/37. Suppose c*b - 47*b = 20. What is the closest to 3 in 0, -0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -171*m = -43*m - 36352. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 173 divide 227339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t = 4*d, 15*d - 10*d + 21 = -2*t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 2653, 5279, 7907, 10537, 13169, 15803?\n\"Answer: h**2 + 2623*h + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -12*(1\/2 - 2). Let n = -17 + v. Calculate the lowest common multiple of 10\/(-15)*3\/(-2) and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1969, -2061, -2219, -2449, -2757, -3149, -3631?\nAnswer: -4209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000070410457 rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 3a2701 (base 15) to base 9\nAnswer: 5225771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the first derivative of w**5\/5 + 17*w**4\/2 - 17*w**2\/2 + 2*w - 28. Find the second derivative of p(m) wrt m.\nAnswer: 12*m**2 + 204*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2389619926700 - -0.3?\nAnswer: 2389619926700.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-200*v**2 + 228*v**2 - 26*v + 39*v)*(-3*v + 3*v + 2*v).\nAnswer: 56*v**3 + 26*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -187 + 933\/5. Which is the closest to 1?  (a) 0.3  (b) 0.6  (c) 0  (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 14?  (a) 0  (b) -0.11  (c) -4  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7966 - 7899.66. Let a = z - -16.76. What is a rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 36.69566l to millilitres.\nAnswer: 36695.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 459 divide 267209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x + c + 51, -31 = -3*x + 5*c - 4*c. Solve 0 = 7*m - 12*m - x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -44614554 + 5?\nAnswer: -44614546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 less than 263866805?\nAnswer: 263866745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the third derivative of -v**5\/60 + 16*v**2. Let w(f) be the second derivative of 21*f**4\/4 + 8*f - 79. Give u(w(n)).\nAnswer: -3969*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 65, 69, 63, 41, -3, -75?\n\"Answer: -u**3 + u**2 + 8*u + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 529848746 by 1022.\nAnswer: 518443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1996776 divided by 9.\nAnswer: 221864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*k + 3484 = 412. Let u(c) = 58*c - 1. Let l be u(-1). Let x = k + l. Put 4, x, -2 in descending order.\nAnswer: x, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -285546 - -421079. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 11*r**2 - 7*r + 2. Let a be j(-6). Suppose -c = 4*c - 25. Suppose -3*f = -w - 342, -4*w = c*f - f - a. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-14)\/(-336))\/((-1)\/(3\/(-1)))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 + 6*g**2 + 7*g + 3. Let w be z(7). Suppose 0 = y + w*y - 192. Suppose 4*r = -15*r - 2*r + 252. Calculate the highest common factor of r and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -29*b**3 + 17*b**2 - 17*b + 17. Let g(r) = -10*r**3 + 6*r**2 - 6*r + 6. Let q(w) = -17*g(w) + 6*z(w). Let t be q(-1). Is 11 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 23302\/19 - 93075\/76. Factor 15\/4*y**2 + 0 + 1\/4*y**4 + 9\/4*y + j*y**3.\nAnswer: y*(y + 1)*(y + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 20.101 and -1.7.\nAnswer: 18.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**3)**(-5\/16) assuming h is positive.\nAnswer: h**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-6)\/f*f)\/f)**(-11\/4)\/(f**(-12)\/(f**(12\/5)\/f)) assuming f is positive.\nAnswer: f**(653\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -85, -77, -69?\n\"Answer: 8*t - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 148 and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2258343041?\nAnswer: 2258343041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2625 + 5?\nAnswer: 2632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.7092 rounded to 1 decimal place?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -884*w**3 - w**2 - 4*w**4 + 2*w**2 + 23 + 3*w**4 + 883*w**3 to k*w**3 + j*w**4 + l + g*w**2 + r*w and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -24 - -8. Let l = -11 - u. Let y = -9407 + 9466. Calculate the remainder when y is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 29*h**2 + 5*h - 4. Let m(g) = -13 + 3*g + 5*g + 4 - 3*g. Let p be m(2). List the prime factors of s(p).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(-26)*f*f*f*(f*f**(-1\/29)*f)\/f)\/(f*f*f\/(f\/(f\/((f*f*f\/f**12)\/f)))*f*f**(-13)) assuming f is positive.\nAnswer: f**(-639\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -16*n**4 - 1001*n**2 + 20*n - 791. Let z(b) = -29*b**4 - 2001*b**2 + 36*b - 1582. Let h(w) = 9*q(w) - 5*z(w). Differentiate h(l) wrt l.\nAnswer: 4*l**3 + 1992*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1125 - -1410. What is the smallest common multiple of 8 and a?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 2*i = -3*o + 105, 5*o + i - 155 = 0. Suppose 1 = 2*b + 5. Let f be (24\/(-8))\/(1\/b). What is the highest common divisor of o and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44659963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -1058.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -10489 * -0.3.\nAnswer: 3146.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*f - 20743 = -20812 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p - 14 = -62*x + 63*x, -5*p + 2*x - 2 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 1) + -21 + 29 + -13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/7, -36, 9, -3, 10.8, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-9)\/((-9)\/(-2)) + -2 + 0. Let h be o\/(-18) - (-16)\/(-234). What is the nearest to 4 in -2, 3, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 136.1 + -117. What is a rounded to 0 decimal places?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 553038?\nAnswer: 2, 3, 92173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 5 + 0\/(-5 - -3). Suppose -2*l + 3*a + 27 - g = 0, -3*l = 3*a - 63. Calculate the highest common divisor of 153 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/80)\/(4\/(-5))*(-5715)\/5715\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 + -1. Let z = 6 + -7. Let m be (-1)\/z + d + 2. Solve 9 = 4*h - 5*k, 2*h - 3*k + 1 - 6 = m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 36831017 to the nearest integer?\nAnswer: 6069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w = -4*w + 32*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 189*x - 43*x - 60*x + (0 + 2 + 1)*(-6*x + 2*x + 3*x).\nAnswer: 83*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 6473863 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*((-4*sqrt(153) + sqrt(153))*3 - sqrt(153) - sqrt(153)))\/(-5*sqrt(576)*3)*-3.\nAnswer: -11*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 13.55272 centimeters?\nAnswer: 0.0001355272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 138*u - 140*u + 120. Does 14 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/1034 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (330\/220)\/((-45)\/24)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/4 - 6*r**3 - 4*r**4 - 1\/4*r**2 + 3\/2*r.\nAnswer: -(r + 1)**2*(4*r - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 844.0000379 + -844. What is v rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32577284?\nAnswer: 2, 173, 179, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d + 7*f = -40, 0 = 2*d - 4*f - 34 + 16 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11920, -47642, -107158, -190468, -297572, -428470, -583162?\nAnswer: -761648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 123\/280 and -73\/980.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 211.00000109 + -211. Round m to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1915 = 4228*q - 4194*q - 4817. Calculate the greatest common factor of q and 10395.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the third derivative of k**6\/120 + k**5\/30 - k**4\/6 + k**3\/6 - 7*k**2. What is i(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(((-4)\/4)\/(-1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 173, 344, 515, 686?\n\"Answer: 171*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1419156\/65 + 100197\/5. Let k = -256349\/143 - t. Let n = k - 14\/11. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 + -50?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 71037841.\nAnswer: 7, 751, 13513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 123 and 90487?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the first derivative of -2 + 2\/3*y**3 + 3\/2*y**2 + 16*y. Let s(r) be the first derivative of p(r). Calculate s(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1136 + -0.2.\nAnswer: -1136.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 23 + -22. Suppose 0 = -x - 4*u - 6, -5*x + r = u - 7. Find t, given that 3*t**2 - 5*t**2 + t**2 + 2 + x*t - t = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9 is divided by 1 + 4 - (-2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5\/696 or -1?\nAnswer: -5\/696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-1)*j)**(-2\/95)*j**(-3\/8)\/(j**(-8)*j)*(j\/(((j**4*j)\/j)\/j)*j*j*j\/j**7*j*j)\/((j*(j**(-5\/3)\/j*j)\/j)\/j**2) assuming j is positive.\nAnswer: j**(151\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 - 5. Let u(m) = -2*m - 29. Let p(c) = -c**3 - 4*c**2 + 7*c - 2. Let g be p(-5). Let z be u(g). Sort i, 5, z in decreasing order.\nAnswer: 5, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -8*k + 15. Let i be h(0). Calculate the highest common divisor of 9 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 77 - 49. Suppose -t = j - 88. Suppose -6*q + j = -3*q. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 - -4. Suppose w*d - 36 = -2*d. Suppose 59 = 4*m - d. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k = -3*i + 6, -4*k - 376*i = 11*k - 372*i - 19 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 362502150.799 minus 0.3?\nAnswer: 362502150.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:51 PM and 7:13 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 34.678758 rounded to 1 decimal place?\nAnswer: 34.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.17 in 3\/8, 1, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 12.6?  (a) -0.08  (b) -2  (c) 1606\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 10635 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 677 + -587731091.\nAnswer: -587730414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.385 - -0.185. Let u = 0.6 + -0.1. Let p = -63\/290 - -1\/58. What is the closest to a in u, -4\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -11*j**3 + 4*j**2 - 4*j - 6. Let w(u) = 10*u**3 - 3*u**2 + 3*u + 5. Give 3*p(h) + 4*w(h).\nAnswer: 7*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -90 + 85. Suppose p + p = 0. Put 3, p, o in ascending order.\nAnswer: o, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**2 + 14*s + 13. Calculate i(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17 + -1 + (37 - 46) + 1?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -125, -106, -75, -32, 23, 90, 169?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 528\/40 + -9 - 2\/10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.19 and -121237.\nAnswer: -121236.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2, 5, -66, -2 in ascending order.\nAnswer: -66, -2, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -410 + 2?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -6. Let b = f + -4. What is the units digit of b\/2*(-18)\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 346925 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 6 = 4*o, -8*q - 5*o = -4*q - 35. What is the remainder when q is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 3*u + 34, 3*r + u + 31 = 125. Suppose r*p + 3962 = 32*p + 5*a, 11900 = 3*p + a. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {b: 1, d: 2, k: 3, t: 4, n: 1}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 83 = -44. Calculate the greatest common divisor of x and 78.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(171)*1)**2.\nAnswer: -24*sqrt(19) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 7*w - 1. Let a(q) = 3*q. Let t(j) = -3*j**3 + j**2 + j. Let v be t(-1). Suppose 25 = 2*c + v*c. Calculate c*a(n) - 2*g(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -6*c**2 - 8*c + 5. Let p(i) = 2*i**2 + 3*i - 2. What is 8*p(h) + 3*u(h)?\nAnswer: -2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -374 + 453 - (0 + 12)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -6032 to the nearest 100.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -436 + 442. Let z(m) = 28*m**2 - 13*m - 16. List the prime factors of z(n).\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 2\/9  (b) 10\/9  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**2 - 1. Let f be w(0). Suppose 6*g = 5*g - 9. Calculate the remainder when g\/(-3) + (f - -72) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o + 3. Let d be p(8). Let y = 11 - d. Suppose -4*x + 16 = -2*q, -x + 6*q = q - 4. Which is the closest to y?  (a) -1\/3  (b) 2\/3  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4616 - 2708. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 10, t: 9}. What is prob of sequence ataa?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 152*v**4 + 6*v**3 - 161*v**2 - 13*v.\nAnswer: 3648*v + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 244*w + 3155. Calculate b(-13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**2. Let i(n) = 3*n**2 - 48*n. Let f(c) = 3*c**2 - 50*c. Let s(t) = 6*f(t) - 5*i(t). Calculate s(j(v)).\nAnswer: 3*v**4 - 60*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f - 4 - 3 - 5*f. Let j be a(-6). What are the prime factors of j + 0\/(2*-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*c**2 + 14*c**2 + 12*c**2.\nAnswer: 42*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1264, -1178, -1092, -1006, -920, -834?\nAnswer: -748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, -1, -0.73 in ascending order.\nAnswer: -1, -0.73, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7\/87 in -7, -4, -0.2, 0.2, -1.6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 108\/(-1800) + 1769115\/(-14750).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the third derivative of u**6\/120 - 2*u**5\/15 + u**4\/8 - u**3\/3 + 29*u**2 - 1. What is the units digit of z(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -55 (base 6) to base 5.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4da - 2a4?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.5 + -0.3. Is -0.2 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -649, -653, -665, -691, -737?\n\"Answer: -r**3 + 2*r**2 - 3*r - 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (16\/72 - 0)*(-6)\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2848?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:55 AM and 9:08 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -193*b**2 + 195*b**2 + 750015 - 750015.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 5184057 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -301 + 304. What is the second derivative of -32*d**3 + 32*d + 27*d**3 - 19*d**c wrt d?\nAnswer: -144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -280*k**2 - 336*k + 1928079 wrt k.\nAnswer: -560*k - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -2*z**2 + z - 3. Let y be q(-4). Let j = 96 + y. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7474173 + 3?\nAnswer: 7474176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*h + 2*h**3 - 2768 + 5*h + 2736 as x*h + v*h**3 + o + w*h**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 + -15. Let a = -11.00000042 - f. What is a rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3148 + -3109. Which is the nearest to -0.1?  (a) 0.1  (b) -4  (c) 1  (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 335 and 1273.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 61*h - 40*h - 4*w + 870, -5*h - 222 = 4*w for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 451 (base 7) to base 5\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.04?  (a) -2\/11  (b) -2\/15  (c) -41  (d) 0.4  (e) -2.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 - -10. Let m(c) = -t*c + 3*c - 2*c. Let y(b) = -b. What is y(m(a))?\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 105 - 94. Let q be 15\/(-28) - (-10 + 78\/8). Which is the nearest to 1?  (a) -0.2  (b) r  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 44 - 30?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81*r + 104 = 94*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**3 + 17*r**2 + 360*r - 1476. Calculate c(28).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let 1794*i**5 + 4760*i**4 - 12622*i**3 - 10596*i**2 + 4928*i - 64 = 0. Calculate i.\nAnswer: -4, -1, 4\/299, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -330, -2, -77, 2, -5 in decreasing order.\nAnswer: 3, 2, -2, -5, -77, -330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/(-2*4\/8). Suppose 360 = 4*w - s, -3 = s + y. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3.32 and 13.6.\nAnswer: 10.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -58*c**4 + 778*c**3 - 2*c**2 - 6*c + 5882.\nAnswer: -1392*c + 4668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*n - n + 3*n)*(-n**2 + 2*n**2 + n**2) - 2*n**3 - n**3 + 2*n**3 + 3*n**3 - 2*n**3 + 0*n**3)*(36*n**2 + 659 + 40*n**2 - 75*n**2 - n).\nAnswer: 4*n**5 - 4*n**4 + 2636*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*g + 144 = 17*g. Let i = 19 + g. Let h = 54 + i. What is the greatest common divisor of h and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 723397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 43?  (a) 4  (b) 2  (c) -28\/5  (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1153 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 72cbb (base 13) to base 3.\nAnswer: 101111021021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes after 12:12 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19468648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 6*s**2 + 24*s + 48. Determine a(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 1 = w. Suppose 0*h = w*h - 50. Solve 4*r + h = 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4163, 33125, 111691, 264659, 516827?\nAnswer: 892993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 152, 328, 528, 764, 1048?\n\"Answer: 2*i**3 + 162*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.637 + -0.077. Let m = 0.44 + y. Put -5, 5, m in decreasing order.\nAnswer: 5, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/(637\/(-212) - -3). Let j = 154 + -165. Is (b\/6)\/(j\/3 - -3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the third derivative of -37*t**8\/20160 - 17*t**5\/30 - 99*t**2. Let a(u) be the third derivative of p(u). Let l(w) = -3*w**2. Calculate a(l(y)).\nAnswer: -333*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 11068 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes after 7:07 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -16 - (34 - -17) - (-8 + 1)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - 15, -6*m + 4*m - 60 = -5*o. Suppose -51 - 131 = -o*d. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/110*-11)\/(-5)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -102478000 to the nearest one hundred thousand.\nAnswer: -102500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (1289*s - 893*s - 876*s)*(s + 2*s - s) in the form n*s + l*s**2 + y and give l.\nAnswer: -960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 801980.3 years to decades.\nAnswer: 80198.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 25 = -2*a - 91, -3*a = 4*m - 297. Let g = 79 - m. What is the remainder when 20 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 70 and 438410.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 251559 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 81\/20 - 36\/(-48). Which is bigger: w or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, h: 1, v: 1}. What is prob of sequence hg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/60 and -10 + -4 - (-63325)\/4692.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rjrr when four letters picked without replacement from rjjjjjjjjjjrjjrjrjj?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -3*v, 3*l = -0*l - 2*v + 15. Suppose 4*b + 2*j = 2568, -2*b + l*j + 1284 = 8*j. Calculate the common denominator of -65\/18 and (-2)\/(-27)*b\/8.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 6*p + 5*p - 3 - 3*p - p**2. Suppose 1 = b - 6. Is 2 a factor of l(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -46.4457 times -0.05?\nAnswer: 2.322285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -20, -3*s = b - 11 - 17. Let q(n) = n**3 + 2*n**2 - 3*n + 6. Let o be q(5). Let i = o - 116. What is the remainder when i is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -108 = 24*q + 12*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1418*k**3 + 3093*k**3 - 1453*k**3 + (-5 + 5 - 2*k**2)*(k + 2*k - k) + k**3 - k**2 + k**2.\nAnswer: 219*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-20)\/(-840)*7)\/((-2)\/(-10)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/9 - (-32)\/1680*-371. Put -0.3, h, 1\/7, -1\/8 in increasing order.\nAnswer: h, -0.3, -1\/8, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 + (12 - (17 - -4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 33\/151 + -283\/604. Which is the third biggest value?  (a) 1\/4  (b) u  (c) -1\/5  (d) -0.089\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 423233 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*p = -7 - 254 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -l + 68 - 71 + 54 to o + f*l and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/7, -10, -0.3, 1, -1, 881 in decreasing order.\nAnswer: 881, 1, -1\/7, -0.3, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o - 2*y - 12, -2*y - y = 2*o + 13. Is -9\/14 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -49734 + 5918310\/119. Let o = w - -2610\/1547. Factor -8\/13*i**4 + 2\/13*i - o*i**2 + 2\/13 + 22\/13*i**3.\nAnswer: -2*(i - 1)**3*(4*i + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (40\/(-60))\/(((-1225)\/(-30))\/(-35))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y**4\/3 + 52*y**3 - 788*y**2 - 129596*y\/3 - 295800 = 0 for y.\nAnswer: -34, -25, -9, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0 times -15\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64*o = 10 - 330. Let v(p) be the third derivative of -5\/24*p**6 + 2\/3*p**3 + 0 + 0*p - 14*p**2 + 1\/12*p**o + 2\/3*p**4. Factor v(w).\nAnswer: -(w - 1)*(5*w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -38 - -38. Let q be f - (0 + -16 + 0). Suppose -q = -8*u + 4*u. Solve 0*s = -2*s - u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:02 PM and 12:20 PM?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What is 8 - (15 + (-5 - 7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**2 + 5*p - 2. Let d be r(-6). Suppose -k + d*k - 270 = 0. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -741*g + 11 = -745*g - o, -3*o = -4*g - 47 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -243, -418, -493, -420, -151, 362, 1167, 2312?\n\"Answer: 8*z**3 + 2*z**2 - 237*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26232 is divided by 8652?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(24)*-5 - (sqrt(2904)*-2 - sqrt(2904)))\/(6*(sqrt(12) + (-1*sqrt(132) + sqrt(132))\/sqrt(11))).\nAnswer: 23*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 41 + -26. Let d = r + -14.825. Let b = d - 0.075. What is the smallest value in 3, b, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 100\/4801, -6, 1?\nAnswer: 100\/4801","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 254603929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*d + d**2 - 4*d**2 - 57*d.\nAnswer: -3*d**2 - 15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kdd when three letters picked without replacement from pkppdppppppppddkpp.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-15))\/((-3)\/(-18)*4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*v + 2*v + 12. Suppose -v*q - r + 8 = 0, 4*r + 0*r + 13 = 3*q. Let t = q + 2. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(315)\/(sqrt(5) + sqrt(125)) - sqrt(63))\/((sqrt(9) + (sqrt(9)*-1 - sqrt(9)))*-1).\nAnswer: -5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*l\/(l*l**(-2\/31))*(l*l**(-7))\/l*l*l*l**(11\/2)*l\/l**9*l assuming l is positive.\nAnswer: l**(-337\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7724\/19285 + 2\/3857. Which is the smallest value?  (a) y  (b) 789  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6922012.\nAnswer: 2, 53, 103, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*p**2 - 11*p**2 - p**2)*(4 - 3 - 4 + 7 - 21 + 6 - 3 + 2 - 1 + (1 - 4 + 5)*(-2 - 1 + 1)).\nAnswer: 153*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 8*y + 231. Let p be r(21). Calculate the highest common divisor of 57 and p.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 9  (b) -64  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 smaller than -1294\/3511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1085168419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express k - 23*k**3 - 22509*k**2 + 22509*k**2 as r + q*k**3 + y*k + n*k**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 3*m = 34. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence euc when three letters picked without replacement from {b: 1, e: 2, c: 5, p: 2, x: 7, u: 3}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10732 - 6176. Calculate the highest common divisor of 748 and y.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:51 PM and 10:37 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -300 + 485. Let z = h + 90. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42453 - 21*w + 42453.\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -24065.00000002035 + 24065. Round s to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -39*r**2 - 1. Let f(z) = 22*z**2 + 177*z + 9. Let c be f(-8). Determine i(c).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 112\/7*(-34)\/4. Let c(o) = -2*o + 6. What is the least common multiple of c(-5) and y\/(-12) + (-6)\/(-9)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (6 - 0 - (-21 - ((-27 - 1) + 17)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*v**2 + 323707104*v - 6549143073754176 = 0. Calculate v.\nAnswer: 40463388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -42 + 144. Let p = 4 + q. Let z = p - 105.999817. Round z to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -5*g - 24, 0*g = 4*g + 3*s + 18. Is 11 a factor of 39*(-20)\/(-18) + (-4)\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12\/(-18)*(-564)\/8.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**3)**(20\/11)\/(w**10*w*w\/(w*w**(-1\/2)\/w)) assuming w is positive.\nAnswer: w**(-155\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) 357\/8  (b) 73  (c) 7  (d) 2\/9  (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22 + 55 - 61) + -1?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 3  (b) -228  (c) -1\/2  (d) 6\/37  (e) 1\/7  (f) -1  (g) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -22\/81  (b) -0.02  (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -243998905 + 243998905 - 3*w**2 + 4*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.1046 - 0.0535. Let s = 3.9489 + g. Put 9, s, 1\/4 in decreasing order.\nAnswer: 9, s, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 2*z**3 - 7*z**2 - 71260*z + 142535. Calculate s(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is r in 15*r**3\/4 - 103*r**2\/4 - 67*r\/2 - 4 = 0?\nAnswer: -1, -2\/15, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 4, -4, 117268.\nAnswer: -4, 4, 5, 117268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 23846.5528 to the nearest 10.\nAnswer: 23850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 51754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -805 - 21302*j + 805.\nAnswer: -21302*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 - 15425231333?\nAnswer: -15425231324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 6670187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w - 1 + 1)*(3 - 3 + 2*w) + (-3*w**2 + 3*w**2 + 2*w**2)*(-5 - 2 + 5).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 140, -5, -316 in decreasing order.\nAnswer: 140, -5, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -107\/4424274 and 33\/32.\nAnswer: 70788384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.04  (b) -31  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x - 70 = x. Calculate the remainder when 69 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-84977 + 166020 - 84769)*(4*a**4 + 5*a**2 - 5*a**2) in the form v*a**3 + f + s*a**4 + q*a + y*a**2 and give s.\nAnswer: -14904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 22 + -15. Suppose -4*z + 7*s - 4*s = -20, 4*z = -2*s. Suppose 5*f = -2*g + z, -2*g - 4*f + 7*f = -18. Is w > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-9)*o\/(o\/(o\/(o**(-2\/5)\/o))))\/(o*o**(-1)*o)**14 assuming o is positive.\nAnswer: o**(-103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the third derivative of z**5\/60 - z**4\/3 - 5*z**3\/3 + 2*z**2 - 148*z - 4. Calculate v(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/143 and 35\/8?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9.49999999 + 9.5. What is n rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.1029 - -783.1029. Let j = -783.4 + p. What is the nearest to 0 in -2, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-36)\/(-8) - 1\/(-2). Let q = a - 9. Put 0.5, q, 1 in descending order.\nAnswer: 1, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.00871 and 3916.0412.\nAnswer: 3916.04991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-20)\/(-6)*27\/15. Let i be (z - 4 - 2)\/(-1). Let j be (-5)\/(-20) - (-9)\/(-4). What is the nearest to i in j, 5, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, h: 3, t: 4, b: 2, f: 1, r: 1}. Give prob of sequence wrfb.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*u + 149200 = 9*u. What are the prime factors of u?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j**2 + 2*j**2 - 4*j**2)*((0 + 0 + 1)*(3*j - 3*j - 4*j)*(-5 - 2 + 0) + (1 - 1 + j)*(4 + 2 - 5)).\nAnswer: -29*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 11 = 2*a + 7, 3*v = -a - 11 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 234569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 67272507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve l + 2*v = -19, -1839*l - v = -1836*l + 62 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1199, 5, 2, 1\/2, -1\/12 in ascending order.\nAnswer: -1\/12, 1\/2, 2, 5, 1199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -4 from -6953.695.\nAnswer: -6949.695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -63.97 + 64. Which is greater: -4\/5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/(-5) - (-13386)\/970 - (0 - -32).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 - 15 = 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26413360.\nAnswer: 2, 5, 330167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30004292.\nAnswer: 2, 41, 182953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 + -4 + (-2295)\/(-612). Let c = 8 + -5. Let v = 0.2 + 3.8. Put m, c, v in decreasing order.\nAnswer: v, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6*b*x**2 + 122*b*x + 23746*b - 11*x**4 - 3 wrt x?\nAnswer: -12*b*x + 122*b - 44*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -w**4 + 1\/2*w**5 + 1\/2*w - 1 + 2*w**2 - w**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4250.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*b - 53*b**2 + 132*b**2 - 2*b.\nAnswer: 79*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 362847 is divided by 1711.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-4)\/(-5))\/(2\/(-10)). Let n be -3 + (120\/(-9))\/(-4). Let y = -4 - -7. What is the closest to n in 0, y, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -29 - -31. Let n(f) be the first derivative of -3 + 1\/2*f**o - f. What is the derivative of n(k) wrt k?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 31123 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**3 - 792*j**2 + 155052*j.\nAnswer: j*(j - 438)*(j - 354)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -4*j**2 - 30*j + 4. Calculate g(-4).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 52599, 105232, 157875, 210528, 263191, 315864, 368547?\n\"Answer: 5*l**2 + 52618*l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1633500?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 - 0. Let b = n + 37. Is b a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002265 to 7 decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*j**2 + 2*j - 39*j**2 + 6*j**2 in the form d + a*j + p*j**2 and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 245\/137 + -60259\/36990. Find the common denominator of 68\/81 and a.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -30 + 31 - i**2 + 8 + 5*i. What is a(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**2 + 36*b - 176. Let h be c(6). Solve -u = 5*p + 21, 4*p = 4*u - 8*u - h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -6\/5, 16\/19, 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -5*x**2 + 2*x - 2. Suppose 2*p - 4*g - 14 = 0, 0 = -p + g + 246 - 245. What is v(p)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((5*sqrt(288)*-3)**2 + (sqrt(288) + (sqrt(288) - (sqrt(288) - (sqrt(288) + -1))))*2)*4 + 5.\nAnswer: 192*sqrt(2) + 259201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1254281513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.38 + 12.98. Let q = z - 12. Sort q, -1\/3, -3.\nAnswer: -3, q, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -44 + 44. Solve -5*y + 4 = 2*n, 0*n - 4*n - 12 = f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 3, n: 5, o: 1, l: 5, t: 4}. What is prob of picking 1 o and 1 l?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.27674544 rounded to four dps?\nAnswer: 0.2767","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3 + -1 + 81\/3. Suppose -12*x - 85 = -w*x. Solve -5*c = -p + x*p - 12, -2*p + 2*c = 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 267 - 272. What is the closest to 0.01 in 0.06, z, 5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1571, 66, 5 in descending order.\nAnswer: 66, 5, -1571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*w + 699 = -48 + 117 for w.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 631034820?\nAnswer: 2, 3, 5, 13, 89891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*(c**16\/c)\/c)\/(c*c**(-11)))\/(c**3\/c**(2\/25)))**(-2\/21) assuming c is positive.\nAnswer: c**(-368\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/6 + (372586\/4638)\/(-2 - -1)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 117583400 to the nearest integer?\nAnswer: 10844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 186953 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79*k = k - 880. Let s(n) be the third derivative of 0*n**3 + 0 + 0*n - 1\/180*n**6 + 1\/36*n**4 + k*n**2 + 1\/630*n**7 - 1\/180*n**5. Solve s(p) = 0 for p.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2317317 and 132.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-110)\/(-50)*(-18)\/((-414)\/(-23))?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 + 11*j**2. Let a be p(11). Suppose 4*w + 7974 = 5*x, -6*w + w - 5 = a. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*h = 19*h. Do -2\/1019 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or 3659396?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 6*f - 5. Let d(m) = 43*m. Give d(g(h)).\nAnswer: 258*h - 215","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 + 14.1397.\nAnswer: 19.1397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 620023919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 67*v**2 - 333 - 76*v**2 + 333 + 15*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 125057 or 125062?\nAnswer: 125062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5410, -10650, -15894, -21142?\nAnswer: -26394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -26961, -26965, -26971, -26979, -26989?\n\"Answer: -d**2 - d - 26959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 298, 568, 820, 1048, 1246, 1408, 1528?\n\"Answer: -a**3 - 3*a**2 + 286*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12709187*b**3 - 3720*b - 1161.\nAnswer: 76255122*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40539 is divided by 5034?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k + 1472 + 1894. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 275 and 99700.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 5*p - 6*p - 10*p. Let q(f) be the first derivative of -f**3\/3 + f**2\/2 - f - 20. Let y(z) = 3*z**2 - z + 1. Let d(m) = -q(m) - y(m). What is d(k(h))?\nAnswer: -242*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 2639052735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.008091 rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -3*p**2 + 8*p - 43. Let v be m(5). Let f = 77 + v. Let u(h) = 3*h**2 - 1. Calculate u(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.6, -4\/7, -4 in increasing order.\nAnswer: -4, -4\/7, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1202 (base 3) to base 15.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -70937269*h**3 + 53419186*h**2?\nAnswer: -425623614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.512407 kilometers?\nAnswer: 512407000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 4*r - 5*d, -1 = 4*r + 5*d - 6. Let w be 1*((-8 - -3) + r). Let z be 5\/20 - (-30)\/8. Sort w, -5, z, 3.\nAnswer: -5, w, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9937606 and 1593?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 178979 + 30672 = 1562*l + 2240*l + 23353 for l.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24493.\nAnswer: 7, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-6)\/(-22))\/(33\/(-165)*(-30)\/4). Let x = 2 - 5. Let p = x - -2.9. What is the nearest to p in -2, r, 3\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oaaaiaaoaaicaoaaq. Give prob of picking 2 a.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 - 3)*(-j + 0 + 0) - 3*j - 4*j + 3*j + (3*j - 8*j - 3*j)*(5 - 3 - 3).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21163104.\nAnswer: 2, 3, 73483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**3 + 5*g**2 + 2*g - 3. Let i be k(-3). What is the third derivative of -7*b**2 - i*b**4 + 11*b**2 + b**2 - 8*b**2 wrt b?\nAnswer: -216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -46.525039 * -40\nAnswer: 1861.00156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-485)\/(-95) + -5 + (-2046)\/(-57). Suppose o*y - 301 = 29*y. What is the greatest common factor of y and 688?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6\/88*8 - 19\/(209\/(-258))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-26)\/v*(v*v*v**(2\/33))\/v*v\/v**(-2\/19)*v*v**(-2\/39) assuming v is positive.\nAnswer: v**(-194690\/8151)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 + 4502345?\nAnswer: 4502344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -31 at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, w: 5, t: 2, s: 5}. What is prob of picking 1 s and 1 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 1 = 2. Let n(l) = 3*l**3 + 7*l**2 - 7*l + 7. Let w(t) = t**3 + 3*t**2 - 3*t + 3. Give c*n(k) - 7*w(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128*a - 89*a = 74*a - 525 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/(((-32)\/64)\/((-2)\/4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8130314 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -555*d - 362*d + 19970 - 713 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - -1022931823.\nAnswer: 1022931827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 715*v + 1810. Is 16 a factor of r(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 o when three letters picked without replacement from {r: 1, o: 2, q: 5, k: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3220 + -2039. Suppose -5*p - 156 = -c. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the first derivative of l**8\/2520 + l**7\/630 + l**6\/540 - 2*l**3\/3 - 2. Let s(z) be the third derivative of y(z). Factor s(g).\nAnswer: 2*g**2*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 157\/324170 and 73\/27786?\nAnswer: 972510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -8 + a + 12*a**2 + a**3 + a**2 + 0*a. Let u be p(-6). Let f = u - 115. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2\/5, 7\/8.\nAnswer: -2\/5, 7\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*b**2 - 2*b**2 + b**2 + 1 in the form m*b + r + p*b**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-161)\/(-49) - 2\/7. Solve 5*n = f*m + 5, -2*m + 4*n - 5 + 1 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d - 3*d + 0*d)*(3*d**3 + 3*d**3 + 89976*d**4 - 10563*d**4 - 9*d**3 + 3*d**3).\nAnswer: -79413*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 270902\/7 + -57701977\/1491. Let w = o + -1\/213. Let m(y) = 3*y + 1. Let n be m(-3). What is the second smallest value in w, n, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -55753, 0, 1 in descending order.\nAnswer: 1, 0, -55753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 234 - 235.23. Let u = o + 1.2126. Round u to 3 decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -5*n + 5*x + 9, 55 = 5*n + 5*x. Suppose -n*z + 28 = -6*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/2*(-12)\/9. Let x(f) = 6*f**2 - 1. Is x(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8*((-18)\/48)\/((-3)\/1398).\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - 8) + 2 + -1 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 298?  (a) 0.0859  (b) 5  (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1*-1)\/((-10)\/60*-3). Put i, 2, 28 in descending order.\nAnswer: 28, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n**3 - 7*n**2 - 6*n + 8. Suppose 2*j + 5 = -5. Let q = 9 + j. What is the least common multiple of d(-6) and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -0.3, -0.5, -2\/149, -240?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 59484 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 14555, 29283, 44357, 59951, 76239?\n\"Answer: 29*v**3 - v**2 + 14528*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63 = 3*s + 2*h, -2*s - h + 4*h = 42. Let b = 20 + s. What is the biggest value in b, -7, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9.9 + 9.919. Let s = m + -67.019. Let t = s + 68. Which is the biggest value?  (a) -3\/2  (b) t  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-177 - 25 + 6)*(-6*h + 29*h + 45*h) to x + v*h and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 5}. What is prob of sequence qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-21)*14\/(-12)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 20696*g*i**2*o + 14*g*i*o**2 + g*o**2 - 6945*o**2 wrt i.\nAnswer: 41392*g*i*o + 14*g*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 48455480786.768551 - -88052.231449. Let r = p - 48455568783.700000654. Let f = 55.3 - r. What is f rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 99730\/(-250) + ((-24)\/75)\/4. Let y = g - -905. List the prime factors of y.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -110 - 122. Let l = z - 59. Calculate the remainder when 15 is divided by l*(-18)\/2*(-1)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 - 2*h + 1. Let z be 10\/2 + -3 + 13. Let x = 11 - z. What is the tens digit of y(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:40 AM and 3:05 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 (base 4) in base 9?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*n - 2*n - 4523 + 4346 as y + m*n and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 53 + -38. Let b = p - 18.2. Let c = 3.254 + b. Round c to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (160\/(-48))\/((-7)\/(-21)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from ynoonooonoooooooo.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 772, 691, 610, 529, 448, 367?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -47 - -82. Suppose 2*d + i = -17. Let g be (-5)\/35 + d\/(-84). Which is the closest to -1?  (a) 2  (b) -2\/3  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -20939a + -2?\nAnswer: -20939c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*f*k*w**3 + 3*f*k + f*w**3 + f*w + 2*k*w - 5*w**3 - 5*w**2 + 2*w wrt w?\nAnswer: 12*f*k*w + 6*f*w - 30*w - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -0.3  (c) 19\/18  (d) 0.4  (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/26680 and -53\/828?\nAnswer: 240120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y + 4. Let p be n(-2). Suppose 0 = -0*x - x - p. Which is the second smallest value?  (a) 0.4  (b) x  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(0 + (sqrt(200) + sqrt(200) + -2 - sqrt(200))**2)*-4.\nAnswer: -816 + 160*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -22*r + 2. Let b(a) = -a**2 - 10*a + 9. Let u be b(-11). Is l(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 0 - (-6 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -85472 (base 10) to base 14.\nAnswer: -23212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the first derivative of q**6\/20 + q**5\/30 - q**4\/4 - q**3\/3 - 3*q**2\/2 + 2. Let g(x) be the second derivative of l(x). Let g(w) = 0. What is w?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 816533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -3*v + 52, 171 - 56 = 5*v + y. Let n be (-6)\/(-4)*v\/9. Find the third derivative of -x**n - 3*x**2 + x**2 - x**4 wrt x.\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -684834290 + 10614\nAnswer: -684823676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -280 times -0.13999?\nAnswer: 39.1972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 9698818.\nAnswer: 5\/9698818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -66.95161 to 1 decimal place.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.205 + -0.5.\nAnswer: 1.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes after 5:59 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 25727285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 241*g - 4576. Let w be t(19). Solve 0 - 1\/3*o - 2\/3*o**2 - 1\/3*o**w = 0 for o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the first derivative of p**3\/3 - p**2 - 2*p - 8. What is w(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t - 2. Let b(n) = -2*n + 3. Let h(g) = 2*b(g) + 5*d(g). What is h(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/9)\/((1\/(-9))\/(60\/(-240)))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 141245999720\/630 - (-8)\/18. Round o to the nearest one million.\nAnswer: 224000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1866 + 615 + 4047 = 103*g + 33*g for g.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/980 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -4*j - 21, 2*j = -3*h - 2*j - 19. What is the tens digit of ((-17)\/(-2))\/(h\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 10, t: 4}. What is prob of sequence tn?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 849*r**3 - 4*r**2 + 5*r + 102 wrt r?\nAnswer: 5094*r - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4751482?\nAnswer: 2, 19, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 2484000 to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 6*k**2 - 1115*k + 12578. Calculate x(12).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (19 - 1) + (983 - 1022)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + w = 1, 3*w = 3*p + 2*w - 7. What is the highest common divisor of p and 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 27862184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27, 2431, 2\/3, 2, -2.\nAnswer: -2, 2\/3, 2, 27, 2431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + 13*q - 9*q - 8, 0 = -2*h + q + 34. Solve -2*o - 4*i = -h, -1 + 7 = 3*i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tb when two letters picked without replacement from {k: 3, b: 1, t: 2, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 0 + 3)*(-2*v + 0*v + v) + (1517*v - 523*v - 773*v)*(0 + 1 - 2) - 4*v + 2*v + v to the form n*v + y and give n.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 62\/9 and 65\/579?\nAnswer: 1737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 32469?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/(-10) - (-1)\/5. Suppose c = 4*n - 3*r + 12, 2*n = 3*n + 2*r - 8. Solve -o - 3*o = n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {t: 2, b: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 86 + 192. Suppose 0 = -4*v - 0*v - 2*r + j, v = r + 68. What are the prime factors of v?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 0*s + 3*s = -6, -2*s = -o + 7. Suppose 7*x = 2*x + 95. Let c = x + o. Calculate the highest common factor of c and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**3 - 16*c**2 - 57*c - 16. Determine j(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**3 + 3*g**2 + 11*g + 35. Let c be v(-3). Suppose r = -4, -2*m - c*r = -2139 - 3891. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p + 6*p = 1. Let v be 1270 + 3\/((-4)\/(-8) - p). Suppose j + v = 9*j. What are the prime factors of j?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3892 = 273*h + 5*h for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.705 - 3068.095. Round s to the nearest 100.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a**(2\/3)*a)*a*a**(2\/5)\/a*a)\/(a**7\/(a\/(((a*a\/a**(-1\/8))\/a)\/a))))**45 assuming a is positive.\nAnswer: a**(-1941\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p - 6*a + 9*a = 32, 0 = -4*p - 3*a + 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 238\/53 + -949\/530. Let s be (-1 - -51)\/(1 + 0). Calculate the common denominator of (4\/s)\/((-3)\/(-90)) and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -25 - -51\/2. Which is greater: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 2*p**2 + 14*p - 22. Let j(s) = s**2 + 7*s - 11. Let k(z) = -13*j(z) + 6*l(z). Let u be k(-8). Let m(f) = 2*f. What are the prime factors of m(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6 + -22)\/(-8) + 11\/(-7). Which is the closest to -1?  (a) -3\/2  (b) s  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 + 1. Let l(v) = 1 - v**3 + v + 2*v**s - 3*v**2 + v. Let j be l(2). What is the greatest common divisor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13 - (12 - 33 - -4)) + 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2337 + 1395*w + 1388 + 176*w - 1934 + 246*w wrt w.\nAnswer: 1817","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 119\/(-204)*(-390)\/(-14105)?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 247, 263, 305, 385, 515, 707, 973, 1325?\nAnswer: 1775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 100*i + 48*i - 2 - 22*i to a + p*i and give p.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = -104*q + 124*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -515 + 1148. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + (8 - 3 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36 + k + k - 30 - 21.\nAnswer: 2*k - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 24074 or 24075?\nAnswer: 24074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 38579, 38842, 39279, 39890, 40675?\n\"Answer: 87*v**2 + 2*v + 38490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6.9 - -0.1. Sort -1, 3, d.\nAnswer: -1, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 16318.6039 - 16329.6. Let j = i + 11. Round j to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - w - 43 = 2*j, 2*j - 76 = 4*w. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p = 21*p + 22*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13015 + 13019. Let d(l) = 4*l - 7. Let t(k) = -2*k + 4. Suppose 0 = -5*h + 48 - 13. Give h*t(j) + q*d(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(8\/((-48)\/6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*u - 2*o + 36 = -12*u, 0 = 4*u - o + 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 135\/5 - (-8 + 2)\/(-2). Let s(x) = x**2 - 24*x + 11. Let w be s(r). Factor 0*b + 10*b**2 + 5*b**3 - 4*b - w - b + 1.\nAnswer: 5*(b - 1)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20 - (17 + -25 + 15).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3 + 7498\/(-2364) + 4\/24. Let w = l - -401\/1379. Which is the third smallest value?  (a) 0  (b) w  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -57.5 + 57. Which is the nearest to 0?  (a) 1.6  (b) 2\/5  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 10222*i. Let c(w) = 2*w**2. Give h(c(z)).\nAnswer: 20444*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 - -0.4. Let c be (-34*(-4)\/(-48))\/(18\/(-9)). Let u = -3\/4 + c. What is the closest to u in 0, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((-6*-4*(sqrt(300) + 0 + sqrt(300)))**2 - ((sqrt(363)*2 - sqrt(363))\/sqrt(11))\/(1*sqrt(99))).\nAnswer: -sqrt(3)\/3 + 691205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3 and 43671?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the first derivative of h**6\/75 - h**5\/50 - h**4\/6 - h**3\/5 - 4*h + 15. Let r(x) be the first derivative of g(x). Factor r(p).\nAnswer: 2*p*(p - 3)*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18 + -16. Let p(c) = -c - 10. Let a(b) = -5*b - 49. Let i(g) = o*a(g) - 11*p(g). Determine i(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-11)\/(-2) + (-2)\/4. Suppose 0*y - 10 = u*y, -y - 117 = -5*t. Calculate the remainder when t is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 101 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 431934 and -0.05.\nAnswer: -21596.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 194942 and 230386.\nAnswer: 2534246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 15606 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 210 is divided by 59.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 + -9. Let v = 12 + l. Suppose -v*m = -7*m + 13. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -31*g**3*x**2 - 12*g**3*x - 4743*g**2 + 36489431*g*x + 7*x**2 wrt g.\nAnswer: -186*g*x**2 - 72*g*x - 9486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/4623557 and -52\/478299?\nAnswer: 13870671","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4 - 3 - 10\/12. Let k be -4*1*19\/(-38). What is the second biggest value in k, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 17\/6 of a day?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.057471 * 22.3.\nAnswer: -1.2816033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 8\/25 of a micrometer?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/20 and -27\/1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7001 is divided by 536.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14.2 - -21. Let f = 24 - 17. Let i = f - q. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1676 is divided by 144?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 244609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.4, 0.5, 3185?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 2042 divide 948271591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 7353760 to the power of 1\/2, to the nearest integer?\nAnswer: 2712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((sqrt(91) - (sqrt(91)*2*-5 + sqrt(91)))\/(sqrt(847)*3 - sqrt(847)))**2.\nAnswer: -38\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1213 - u**2 + 0*u**2 - 1213.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 3 + 2*y - 3*y - 1 + y**2. Let u = 319 - 319. What is a(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**3 + 5*p**2 + 16*p + 9. Is g(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2264481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (o + 3*o + 6*o)*((-3*o**3 + 3*o**3 + 4*o**3)*(0 - 5 + 3) + o**3 + 4*o**3 - 4*o**3) to k*o**4 + q*o + p*o**3 + w*o**2 + g and give k.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 210201411701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {d: 10, y: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -8*v**2 - 6*v - 1. Let n be c(-4). Let h = -45 - n. Let r be (h\/14)\/(1\/7). What is the greatest common factor of r and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -42 - -99. Does 19 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -153, -208, 1, -44, 4, 5 in descending order.\nAnswer: 5, 4, 1, -44, -153, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 368374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 2*t = 19, 5*y + 2*t - 22 = y. Let d be (-3 - (-7 + 10))*(0 + -1). What is the highest common factor of y and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15439853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 4*q**2 - q - 3*q**2 - 3*q**2 + 3*q**2. Let n(l) = 15*l**2 - 6*l - 3. Let y(t) = -5*a(t) + n(t). What are the prime factors of y(2)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -987*v - g = -992*v + 19113, 3*g = 3*v - 11463. List the prime factors of v.\nAnswer: 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/1 - (-3)\/(-1). Let n(v) = 3*v**2 + v + 1. Let i be n(f). Solve -q = i*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (5*-1*sqrt(308)*4)\/(sqrt(14)\/sqrt(2)*-6*-4).\nAnswer: -5*sqrt(11)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((6 - -6) + -9)*3. Let c(f) be the third derivative of -f**5\/60 + 5*f**4\/12 + 7*f**3\/6 + 2*f**2. Determine c(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -88.385269592 - -88.46897. Let b = u - 0.0837. Round b to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*g + 5*o + 815 = -69*g, 2*g + 21 = -5*o - 14 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of ((-14)\/56)\/(8\/(-143872))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 481617469 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + o = -3*m + 11, m = -o + 13. Let i be (m\/(-6) - -1)*2. Is -36*((-1)\/i + -3) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -224 - 106.14.\nAnswer: -330.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(-10) - 24\/(-5). Suppose -5*y + n*v + 50 = 0, -4*y - v = 3*v. Suppose y*w + 30 = 3*d, 2*d - 2*w + 3*w = 7. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40652?\nAnswer: 2, 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2377578 and 294?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((0 + sqrt(11))*5 - sqrt(11)).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the first derivative of 4816*k**3\/3 + 8369*k + 3764. Find the first derivative of b(f) wrt f.\nAnswer: 9632*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(3\/5)*o**(-1\/19)\/o*o**(2\/9)\/o*o*o\/o**(-1\/5) assuming o is positive.\nAnswer: o**(829\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * -61271592.\nAnswer: -6127159.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**2 - 34. Let l be o(-6). Let g be ((-8)\/(-10))\/((-6)\/(-15)). What is the third derivative of 0*w**l + 2*w**5 + 2*w**2 + 6*w**g wrt w?\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -2*j + 26. Calculate the smallest common multiple of v(-17) and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101*q + 360 = 89*q. Let j be 45\/q + 21\/6. Solve 2*y + 5*x = -30, 0 = 2*y - j*x - 3*x - 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8855.135mg to grams.\nAnswer: 8.855135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9988776.\nAnswer: 2, 3, 7, 19819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 - -14. Suppose 0 = -3*a + 4*j + 41, j = a - 2*j - 22. Suppose a*p - 4*p = 66. Calculate the least common multiple of p and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the third derivative of -k**8\/336 - k**4\/12 + k**3 + 5*k**2. Let g(f) be the first derivative of i(f). What is the first derivative of g(m) wrt m?\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 8035*o + 56247. Give p(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3\/5 - 16\/35. Let i = 0.06 + -0.56. Which is the closest to 0.2?  (a) j  (b) i  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14 + 39. Suppose f = -5*q + 10*q. Let m(y) = 4*y + 3*y**2 + 6 - y**2 - 8*y**2 + y**3. Give m(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0  (b) -1  (c) 75  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1678)\/(-54) + ((-38)\/24 - -2)\/((-11520)\/2048).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1281*r**2 + 423*r**2 + r**3 + 431*r**2 + 427*r**2.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1324072 + 40?\nAnswer: -1324032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**3 - 5*q**2 + 6*q + 2. What is m(-5)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 < 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(790\/(-160))\/((-67)\/(-536))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 2 + 4*h - 19*h + (-3 + 0 + 1)*(3*h + 0*h - h) as o + g*h and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4288.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 12 - 8 = 0. Let l be 0*(0 - 2)\/h. Suppose l = -14*q + 11*q + 372. List the prime factors of q.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*i + 3*m - 29 = 41*i, -59 = -7*i - 5*m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(-5\/4)*x)\/x**(-11)*x*x\/(x\/x**10)*x**(-4))**(-38) assuming x is positive.\nAnswer: x**(-1425\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -421794 - -235360987\/558. Find the common denominator of u and 61\/3038.\nAnswer: 27342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 8 = -0*h. Let s be (-4)\/(-3)*39\/h. Is 1*20 + s\/(-13) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 - 262*x**2 - 829*x - 13741. What is t(-259)?\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0  (b) -13  (c) 6\/11  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 801*k + 105*k + 673*k + 501*k + 24960 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + x + 15 = 0. Is x\/(20\/(-3))*116 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0602*-27787.5.\nAnswer: -1672.8075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 796.6333ml?\nAnswer: 0.7966333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112 = -9*c + c. Suppose 66 = 4*k + c. Let s = k - 6. Round s to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2017 divided by -14944\nAnswer: 2017\/14944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5 and 1294626?\nAnswer: 6473130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -211641*j**6 + 226599*j**2 wrt j.\nAnswer: -25396920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 5*f**2 - 2 - 6*f - 2*f**2 - 2*f**2. Let v be g(7). Suppose -5*c + 20 = -v*m, -3*c + 7 = -m - 5. Solve -s - 5 = n + 4*n, 3 = -c*n - s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 56 + 0?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5\/(5\/(-2)) + -2545649. Let s = -297843296\/117 - a. Let u = 264\/13 + s. Calculate the common denominator of 50\/11 and u.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3044240003 (base 5) to base 2\nAnswer: -10111110100001100111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -3*l + 91, 2*l - 3*s = -l + 87. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 16145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -31.5 - -4.5. Let y = g + 30. Which is the fourth smallest value?  (a) -1\/5  (b) -2  (c) y  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-48)\/(-9) + (-3)\/9. Let k = x - 2. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 125980 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4620695 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 - (-7)\/(-5) - 1. Let g = 8 + -14. Let b = -4 - g. What is the nearest to z in -2\/15, b, 0?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p - 3*r + 9 = -7*p + 8*p, 14*p - 33*r + 53 = -30*r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do 290\/9 and 32 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 28 + 9 = 4*u, -13 = -5*i + 4*u. Suppose 0 = g - p - 0*p, -4*g = i*p. Suppose -5*v + 95 = -g*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31288 = -4*j + 4*w, -4*w = j - 9217 + 1385. What is the greatest common divisor of 24 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the third derivative of b**8\/112 + 29*b**5\/12 + 15*b**4\/8 + b**3 + 184*b**2 + 2*b. What is the second derivative of r(j) wrt j?\nAnswer: 60*j**3 + 290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -129\/782  (b) -5  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11893 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (81\/(-162))\/(1\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 6\/7  (b) -0.2  (c) -152  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**3 + 2*v**2 - 2*v + 2. Let d be m(-4). Let f = 3119\/11 + -279. Calculate the common denominator of f and (-5)\/(-25)*(-10)\/d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -6*i**2 - 24*i + 2. Determine x(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-80)\/(8\/2)*(-31)\/62\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 - 71.\nAnswer: -71.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**2\/5 + 8808*a\/5 - 1762.\nAnswer: 2*(a - 1)*(a + 4405)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6\/25 in 20, -10983, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9.39 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is eight fifteenths of a decade in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:59 AM and 7:03 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/16 of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-8)\/(-20) + (-957)\/270 + 2 and -113\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -45, -83, -119, -153, -185, -215, -243?\n\"Answer: b**2 - 41*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(135) - sqrt(135)*-2))\/(6*(sqrt(80) - 2*sqrt(80))))**2.\nAnswer: 675\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes before 2:21 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 96 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 570435 and 37230?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1558 and 6916.\nAnswer: 283556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 12*g**3 + g**2 - g. Let p be j(1). Suppose 0*c = -3*c. Let v = p + c. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.13043 plus -60005825?\nAnswer: -60005825.13043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*b + 7*b. Let x(l) = -2*l - 1. Let g be x(b). Let u(s) = s**2 - 1. Let a be u(g). Solve a = -5*n - 3 - 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 + 19. Let u be (-4)\/s - (-77)\/63. Let j be (0 + u\/2)*-2. Which is the closest to -0.1?  (a) 0  (b) 3  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 - -24. Solve -4*v - f = -j, -3*v + 1 = -2*v + j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the second derivative of 0*i**2 + 92*i + 0*i**4 + 73\/20*i**5 + 43\/3*i**3 + 0. Find the second derivative of c(y) wrt y.\nAnswer: 438*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the first derivative of -2*n**3\/3 - 163*n**2\/2 - 3105. Let h(o) = 3*o. Calculate h(p(q)).\nAnswer: -6*q**2 - 489*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1034, 2046, 3066, 4094?\nAnswer: 5130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 230 - 228 = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -812 + 827. Suppose 5054 = -d*n + 53*n. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4093250 + -2193251. Let j be 0 + 0 + 1 + f. Round j to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 210735288743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3957975 divided by -25.\nAnswer: 158319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -2*z**3 - 2 + 23*z**3 + 2*z - z**2 - 3*z**3. Is f(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62142809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qgli when four letters picked without replacement from {q: 4, t: 1, i: 4, l: 2, g: 2, p: 2}.\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 - (6 + -4 + (15 - 18)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 30479336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x - 27 = m, 3*m + 40*x - 39*x = -15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.102*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/6 and 7\/14 + (-140)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 3 + (3 - 3 + 2)*(-1 - 1 - 1))*(1 - 13 - 6)*(9*q - 18*q - 11*q).\nAnswer: -1080*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -6*r + 3. Let u(q) be the third derivative of q**4\/6 - q**3\/3 - 4*q**2. Let b = 1017 + -1010. Determine b*u(j) + 5*h(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the second derivative of z**3\/6 - 4*z**2 + 2*z. Let v be d(0). Let j be (1\/(-7))\/((-4)\/v). What is the closest to j in -0.5, -5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven sixteenths of a day in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nkx when three letters picked without replacement from xknnxaxxxanx.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -156 and -838.05370701?\nAnswer: 682.05370701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w**2 + 0 + 0)*(-2*w**2 - 5567*w**3 + 2077*w**3 - 8356*w**3 + 2*w**2).\nAnswer: 23692*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-1\/18)*o**(7\/11)\/o)\/(o**(-20))**(3\/14))**(-2\/135) assuming o is positive.\nAnswer: o**(-5359\/93555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 140205 and 585.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*w + 168 = -1512. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the first derivative of 2*y - 96 - 1\/6*y**3 - 1\/8*y**4 + y**2. Solve u(m) = 0 for m.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (2 + 1 - 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02 take away 8559499.16?\nAnswer: -8559499.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 925300284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**3 + w**2 + 34*w - 20. Determine i(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -u**2\/5 + 1716726*u\/5 - 6866888\/5 = 0. What is u?\nAnswer: 4, 1716722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 511 + 211. Suppose -y + a = 4*y. Suppose -3 - y = -3*q. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 49*a - 16. Let i be g(1). Suppose -i*u - 260 = -7*u. Suppose -5*d - 3 = 2. Put -5, u, d, -3 in ascending order.\nAnswer: u, -5, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**3 - 4*s**2 + 5*s - 5. Calculate i(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 21\/(-7)*8\/6. Let m be 40\/12 - 1\/3. Let j be m\/2 + (-21)\/2. Sort 2, d, j.\nAnswer: j, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -352 divided by 44?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1, 9, 33, 71, 123?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 23846 and 4.\nAnswer: 47692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 111 = -2*w - 10, -3*g = -4*w + 167. Suppose 0 = -3*r + 13 + w. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -13684, -27274, -40710, -53914, -66808, -79314, -91354?\n\"Answer: 13*a**3 - a**2 - 13678*a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -46 >= -477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -70, -27, 16, 59, 102, 145?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 6*f - 3*q - 702 = 0, -526 = -3*f + 2*q. Let o = -61 + f. What are the prime factors of o?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 25*p**3 - 3*p - 15*p**2 - 28*p**3 + p**3 + 2*p - 2 to the form m*p**2 + c*p**3 + x + u*p and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 4*x + 10. Let b(r) = -3*r - 2. Let w(y) = -3*b(y) - d(y). Let n(p) = -2 + 3*p + 3*p + 0*p - 1. Give -4*n(i) + 3*w(i).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.1, 13, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/5 of a millennium in decades?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*i**2 - 2*i**3 - 60*i**2 + 34*i**2 + 10*i**2.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -11*f**2 - f + 1. Let o be m(1). Let x = o + 12. Differentiate 2*d**3 + 21*d**2 + x - 21*d**2 with respect to d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:45 PM and 1:17 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 116 is divided by 61.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 23*y + 30*y - 21*y + 576 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**3 + 5*x**2 + 5*x + 7. Let v be k(-4). Let i(f) = 3*f + v - 131. Let h(r) be the first derivative of -r**2\/2 + 1. Give h(i(j)).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 28594627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -2 + -6*(sqrt(117)*-2*-5 - (1 + sqrt(208) + sqrt(13) + sqrt(39)\/(sqrt(3)*-1))).\nAnswer: -156*sqrt(13) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 42583 and 5238?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**3 + 3*w**2 + 2*w - 3. Let y be f(2). Suppose -2*s + 14 = p - 7*s, -16 = -y*p - 2*s. Suppose -172000 = -p*a - 0*a. Round a to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1727496 and 15?\nAnswer: 8637480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 894423143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = 2*h. Let n(y) = y**2 + y + 14. Let s be n(h). Let t = -8 + s. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + 8 + 2 + -2 + 2. Is (-12836)\/h*(-35)\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -5*o + 46, -3*z + 24 = -2*z - 5*o. Let t(m) = m + 4. Let j be t(z). Calculate the highest common factor of 144 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2413571 (base 8) in base 10?\nAnswer: 661369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 92611648.\nAnswer: 2, 17, 85121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hnnnnnnn. What is prob of picking 1 h and 3 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**2 - 6*x + 11. Let c be h(4). Find the second derivative of -136*r - 125*r + 56*r**c + 213*r wrt r.\nAnswer: 336*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.382  (b) -209  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 110660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 8086\nAnswer: -3\/8086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*d + 0*d + 10*d**2 + d**3 - 1 to u*d + j*d**3 + v + a*d**2 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**3 - 79*x**2 - 6*x + 485. Calculate h(79).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 2*y = -5*k, 2*y = -2*k. Suppose k = -4*o + 5*d + 43, -3*o - o + 22 = 2*d. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 227, 1, 2, -1, 98 in ascending order.\nAnswer: -2, -1, 1, 2, 98, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 44533 + -2137715\/48. Calculate the common denominator of -73\/24 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(2 + (sqrt(176)*2 + 5)**2 - -1*(5*(2 + sqrt(176)))**2).\nAnswer: -5231 - 480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -6*k - 6. Calculate the least common multiple of g(-3) and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -29859.68 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1560\/455*-10*161\/92\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 2*x)*((3 - 3 + x)*(2 - 3 + 2) - 2*x - 3*x + 6*x) + (x - 9*x - 11*x)*(2*x - 1 + 1).\nAnswer: -34*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*i + 20 = 31*i + 2*o + 92, 50 = -5*i + 4*o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 2*h**2 + 14554*h + 650879. What is r(-45)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(20) + -1 - (sqrt(5) - sqrt(5)*-2*-3 - sqrt(55)\/(1*sqrt(11))))**2.\nAnswer: -48*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2968 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 5*p**2. Let i(o) = o**2 + 35. Calculate i(k(j)).\nAnswer: 25*j**4 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 170  (b) -3\/2  (c) 0.4  (d) 0.3  (e) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-5\/12)*y)**(15\/7)\/(y**34*y*y*y**(-1)))**(-1\/12) assuming y is positive.\nAnswer: y**(45\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (-40)\/(-4) - (-18 + 25).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (8\/((-64)\/(-12)))\/(-4). Does c = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/(-24))\/((-770)\/(-693))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -33, 0, -35, -4, 4 in increasing order.\nAnswer: -35, -33, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 - 280 + 329 - 73 + 8 - 79*j**2.\nAnswer: -79*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -5*z + 1969*z**2 - 1966*z**2 + 2*z + 3*z. Let j(g) = -4*g - 13. Calculate j(u(x)).\nAnswer: -12*x**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5\/4 in -2940, 225, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from laiaeaelaeeeelaieli. Give prob of sequence eil.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(80))\/sqrt(5) - (3*sqrt(64))\/sqrt(4))\/(sqrt(1152)*1 + (-1*sqrt(48))\/sqrt(6)) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 56 and 60.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k**14*k))\/(k\/((k\/(k\/(k**(-4\/7)\/k)*k))\/k)))\/((k\/k**(4\/11))\/k*k**(-2)) assuming k is positive.\nAnswer: k**(-1248\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 635 is divided by 151?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7401817.0059 - -7402547. Let s = -730 + d. What is s rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 193593 = 21*t + 193992 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -2*r + 2. Let d be p(-1). Suppose -3 = 3*h - d*h. Suppose h*f - 6*f + 135 = 0. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 182*f + 25. Suppose 16*r - 60 = 6*r. What are the prime factors of l(r)?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.216 + 0.079. Put -4, -0.2, h, 0.4 in ascending order.\nAnswer: -4, -0.2, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**3 + 15*f**2 + 58*f - 5. Let g be i(18). Calculate the greatest common factor of 1273 and g.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1100010 - 111110010010010000101?\nAnswer: -111110010010000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1\/(-3)*(12 + -63)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -490 (base 10) to base 9.\nAnswer: -604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2097, 6566, 18685, 42276, 81161, 139162, 220101, 327800?\n\"Answer: 637*q**3 + 3*q**2 + q + 1456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -127975, -255952, -383917, -511864, -639787, -767680, -895537?\n\"Answer: r**3 - 127984*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is b in 3829100*b**3 + 488520*b**2 - 34944*b + 512 = 0?\nAnswer: -2\/11, 8\/295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0, 5, -1 in decreasing order.\nAnswer: 5, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i - 37*k + 35*k + 6 = 0, 0 = -5*i + 5*k - 30 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-160)\/4)\/((12\/(-54))\/((-5)\/45))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17510 + 17510 - 9*a**2.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the third derivative of -c**5\/120 + c**4\/6 - 7*c**3\/2 + 17*c**2. Let v(p) be the first derivative of q(p). What is v(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34937349, 69874692, 104812035?\nAnswer: 139749378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 3, 1, -3\/5, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/(-21)*7\/35 - 0.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -502, -1005, -1508, -2011, -2514, -3017?\n\"Answer: -503*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -373, -285, -195, -103?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(1\/2))**(1\/2)\/(j**(1\/8)\/j**(-29)) assuming j is positive.\nAnswer: j**(-231\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 248 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -91\/1240 and 93\/4.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 300.31 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -89708, -177019, -264332, -351647, -438964, -526283?\n\"Answer: -k**2 - 87308*k - 2399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002699707 rounded to seven decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 39 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -1481*u**3 + 5*u**2 + 3*u + 1. Is n(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2.394, 1\/5, 1\/7, -0.1, -1.4 in descending order.\nAnswer: 2.394, 1\/5, 1\/7, -0.1, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -2*t - 1. Suppose -21 = 3*w - s - 3*s, -3*s = 5*w + 6. Let x be m(w). Find the second derivative of -2*z**x - z + 7 - 7 wrt z.\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*d + 7*d + d**2 + 1 - 11 to q + m*d**2 + u*d and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-945)\/36*(-6)\/20 and 20\/(-48)*339\/(-280)*(59 + -57).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 2*u - 5. Let i(o) = 2*o**2 - 3*o + 3. Let b be i(2). Let t be x(b). Solve -4*g = 3*z - 3*g + 12, 21 = -2*z - t*g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(1\/7))\/((u\/((u\/(u**(-1\/4)*u))\/u))\/u) assuming u is positive.\nAnswer: u**(3\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = 2*p - 907, -4*p + 2717 = 3*z - 2*p. Suppose 3*b + 365 = z. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y**3 + 0*y**3 - y**3)*(87*y - 20*y - 553*y)*(-1 - 2 + 2 + (1 + 4 - 6)*(0 - 1 + 0) + 0 - 2 + 4 + 0 - 1 + 2 - 2 - 3 + 4)*(-5 + 5 - 2).\nAnswer: 1944*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 4*l + 3*d - 4*d, -3*l = -2*d + 9. Let j(g) = -g + 1. Let m be j(l). Let r be 4\/(-14) + (-2)\/(-7). Solve r = -m*w + 6 + 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 72*u**3 - 4*u**2 - 35*u - 25*u**3 + 0*u**2 + 50*u**3 + 2*u**2 wrt u.\nAnswer: 582*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00004843665 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 22306, -5.\nAnswer: -5, 5, 22306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 52146 - 1?\nAnswer: 52145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(250)*-5 + -4*2*sqrt(250))\/(((sqrt(320) - 4*sqrt(320)) + sqrt(320))*-2).\nAnswer: -45*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 4*m - 16 = -2*o, 3*o - 4 = m. Suppose -m*g = 4*c - 213, 5*c - 200 - 91 = 2*g. Let d = c + -23. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000890695 to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence did when three letters picked without replacement from diddddddiddddddddddd?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/(-12) - 1\/12. Let y = 0.4 + -56.4. Let w = y + 55. Which is the biggest value?  (a) w  (b) f  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -1. Let m(s) be the second derivative of -2*s**3\/3 + 4*s**2 + 4*s. Let l(c) = m(c) + 8*v(c). Let x(f) = 2*f. Determine l(x(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y = -9*y - 52 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 614293160?\nAnswer: 2, 5, 13, 41, 28813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -217*i - 325786392 + 1129749692. Round i to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -2787, -5468, -8131, -10776?\n\"Answer: 9*j**2 - 2708*j - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 828 + -27a?\nAnswer: 57b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes after 2:18 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 2 = 1. Let o(l) = -5*l**2 - 3*l + 1. Let s(b) = 4*b**2 + 2*b - 1. Let j(r) = z*s(r) + 2*o(r). Find the first derivative of j(f) wrt f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -10*((-1)\/6)\/(6\/18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.17 in -1005, 3, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -107*l**3 + 227*l**3 - 164*l**3.\nAnswer: -44*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -a**2*v**3*x**2 + 142796*a**2*v**3*x - 13792*a**2*v**2*x**2 - 53*a*v**2*x**2 wrt v?\nAnswer: -6*a**2*x**2 + 856776*a**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 101681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 + 14*f**2 + 3*f + 47. What is m(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*p = -30*p - 16*p + 644 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*((z*z**(1\/4))\/z*z)\/z)**9\/(z**1)**(24\/11) assuming z is positive.\nAnswer: z**(399\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*j**4 - 1135*j**3 + 835*j**2 + 280*j.\nAnswer: 5*j*(j - 56)*(j - 1)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -223, -251, -297, -361, -443, -543, -661?\n\"Answer: -9*j**2 - j - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:04 PM and 9:18 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 - 2)*(3*t - 2*t - 3*t - 3*t - t + 5*t + (-2 + 1 - 1)*(1 - 1 + 2*t) + 4*t - 2*t - 3*t) + 97*t + 101*t - 193*t + 474.\nAnswer: 11*t + 474","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 178252538.\nAnswer: 2, 1669, 53401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44 is divided by 31?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.0381 + 0.5761. Let z = 0.438 - y. Let n = 18\/7 + -40\/21. Which is the biggest value?  (a) -5  (b) n  (c) 3  (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j - 6. Let o be a(8). Suppose o*l = -4*x + 38, 3*x = -0*x + 2*l + 11. What is the lowest common multiple of x and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 118 - 114. Let f(g) = -4*g**2 + 10*g**2 - 17 + 2 + i*g + 0*g. What are the prime factors of f(-6)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**2\/11 + 136*h\/11 - 576\/11.\nAnswer: 2*(h - 4)*(h + 72)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 147 + -81. What is the third derivative of -d*b**3 - 34*b**2 + 38*b**3 + 3*b**2 wrt b?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 135019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97*t - 585 = -88*t + 146*t for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 142333213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2336033 by 10.\nAnswer: 2336033\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**3 - k**2 - k + 5. Suppose 4*t + 4 = 3*p, 5*p + t - 5*t = 4. Let q be c(p). Let v(i) = -i + 1. Calculate v(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the third derivative of -y**5\/12 - 35*y**4\/2 + 425*y**3\/6 - 2*y**2 - 531. Suppose l(j) = 0. Calculate j.\nAnswer: -85, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -4*a**2 - 13*a - 13. Let r(y) = -2*y**2 - 6*y - 6. Let f(v) = -6*p(v) + 13*r(v). Let k(w) = -10*w**2. Calculate f(k(x)).\nAnswer: -200*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, -2690, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 + -48?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9\/82 + 57\/41. Which is the nearest to i?  (a) -3  (b) -4  (c) -1  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 637 a factor of 767585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19 - 18. Let o(t) = 0*t**2 + 4*t**2 - 3*t**2. What is the units digit of o(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 - -11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 34*n**3 - 2*n - 56*n**3 + 14 - 8*n**4 + 7*n**4 wrt n?\nAnswer: -12*n**2 - 132*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -c**2*w - 3*c**2 + 22*c - 14558*w - 4 wrt w?\nAnswer: -c**2 - 14558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.477642 rounded to two dps?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -63*(-1 - (-1 + 1)). Let j(m) = m**2 - 4*m - 4. Let q be j(-6). Suppose 6*n + 2 = q. Calculate the highest common factor of n and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7728\/13807 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -8*h**2 - 113*h - 3. Let w be s(-14). Suppose w*t = 31*t - 88700. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 411032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1d (base 14) to base 6\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1840077, 1840541, 1841807, 1844277, 1848353?\n\"Answer: 67*c**3 - c**2 - 2*c + 1840013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 + (-27)\/(-3) + -1. Suppose -w*i + 36 = -2*i. Suppose 4*h - i = h. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 590\/200 + 165\/(-60)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -32 - -31. Find the common denominator of 8*k\/(-16)*(-47)\/(-2) and -2\/39.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.08 times -173010\nAnswer: -13840.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15, -20, -29, -42, -59, -80, -105?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.015745935957 rounded to 5 decimal places?\nAnswer: 0.01575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -367 (base 10) to base 3.\nAnswer: -111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/8 in 212, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = -g - w, -5*g + 3*g + 2 = -4*w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rtexexrbf. Give prob of sequence xxfr.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -0.3, -978.\nAnswer: -978, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are -146536 and -146536 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-64)\/992 - 1401\/(-93) - (0 - -63).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 3*n + 4*k, 4*n - 16 - 10 = -5*k. Let f = 10 - n. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4494*m = 4574*m + 480 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -73*(5 + -3)*(-1273)\/38.\nAnswer: 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-four fifths of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 84 - 81. Let m = -3.5 + z. Let g be (-1 - (-2 - -2))*0. Which is the smallest value?  (a) m  (b) 0.5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from svkssvokkkvkevkkkk. Give prob of sequence ek.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 53777626, 53777622, 53777618, 53777614, 53777610, 53777606?\n\"Answer: -4*c + 53777630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-304 + -271 - -669) + 0 + -14 + 1.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a hour in seconds?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 2*f - 10. Let l be k(8). Suppose 3*o = l*o - 6. Let g = -8 + 9. Sort o, 5, g in decreasing order.\nAnswer: 5, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -15472, -18, -3 in increasing order.\nAnswer: -15472, -18, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, 38019, -4 in increasing order.\nAnswer: -4, 10, 38019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 908, 12684, 44646, 106886, 209496, 362568, 576194?\n\"Answer: 1682*u**3 + u**2 - u - 774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -304 + 215. Let y = 23 - b. Calculate the remainder when y is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**3 - 16*m**2 - 16*m - 10. Give z(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -438 + 454. Suppose 20 - 8 = -3*w, 3*w = -2*x + o. Let h(j) = -8*j. What is the remainder when h(-3) is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/24 + 0 + 3 + -2\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4316?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1964 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 503.20126 to zero dps.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 146?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ddgddgg?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 + 4. Let p be (1\/3)\/((-3)\/(-9)). Let n = u - p. What is the remainder when 25 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hss when three letters picked without replacement from psphshsp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (6\/4)\/(((-30)\/4)\/5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -562609112*d**2*w + 2494975*d**2 + 9*d + 3 wrt w?\nAnswer: -562609112*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 42319949 - 7.3\nAnswer: 42319941.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -86*b - 40 = -85*b. Suppose -5*u + 4*u = 42. Let t = b - u. Solve c + 6 = t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(252) + 2) + sqrt(252) + 0 + sqrt(252) + -3 + 0 + 2)*5)**2 + 5.\nAnswer: 26400*sqrt(7) + 406230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -4, -8 = -5*q - 4*z - 9. Solve 3*u = -3*c + 24, q*u = 2*c - 4*c + 19 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.0699 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 31057.3 rounded to the nearest one thousand?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(270)\/(sqrt(12)\/sqrt(2)))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d = -f + 1, -4*f = -51170*d + 51175*d - 48 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1349, -1335, -1321, -1307?\n\"Answer: 14*v - 1363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**3 + 44*x**2 + 300*x. Let w be l(50). Put -0.5, w, 4\/61 in decreasing order.\nAnswer: 4\/61, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(980)\/sqrt(2))\/sqrt(5) + (2*sqrt(22))\/sqrt(11) + -1 + sqrt(200).\nAnswer: -1 + 19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 7*h - h. Let g(d) = 7*d**3 - 15*d**2 + 9*d + 1. Let s(u) = 4*u**3 - 8*u**2 + 5*u. Let k(q) = -3*g(q) + 5*s(q). Determine k(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8016278, -8016296, -8016314, -8016332, -8016350?\nAnswer: -8016368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 86993239 to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**3 + 67576*o**2 + 337859*o + 270284.\nAnswer: (o + 1)*(o + 4)*(o + 67571)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.96 - -1.06. Let k = -1\/68 + -27\/476. Let h = k - -33\/70. Which is the closest to 2\/5?  (a) h  (b) r  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 635*r - 4439. Give n(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 77816 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*a + 2*a**2 + 3*a)*(a + a - 3*a) - 7*a**3 - 9*a**3 - a**3 + (-3*a + 3 - 4 - 2*a)*(-2*a**2 + 5*a**2 - a**2) to o*a**2 + p*a**3 + h + b*a and give p.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 13*j - 10 = 0. Let p be 48\/30 - (-1)\/(j\/(-2)). Which is the smallest value?  (a) p  (b) 5  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 9*p**2 - p - 22. Give h(3).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 32394239 a multiple of 4474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u + 308. Let y(q) = 2506*q. What is y(s(f))?\nAnswer: -2506*f + 771848","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1122 + 1133. What is the least common multiple of 105 and w?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2361498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12265*q + 26*q**2 - 2*q**6 + 6*q**3 - 12262*q - 10*q**6 wrt q.\nAnswer: -1440*q**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-148 + 69 + 69)*(o - 2*o + 4*o).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -2*l - 8. Let m be v(-5). Let k = 4.72 + -0.22. Let d = 4 - k. Which is the third smallest value?  (a) d  (b) 4  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 144, 576, 1288, 2274, 3528, 5044, 6816?\n\"Answer: -l**3 + 146*l**2 + l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 33273 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: Three letters picked without replacement from {z: 2, h: 5, j: 1, u: 1, p: 1}. What is prob of picking 1 u, 1 p, and 1 z?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i**2 + 3*i + 3*i**2 - 4*i**2)*(-3*i + 0*i + 5*i).\nAnswer: -2*i**3 + 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -48*u**2 + 2101*u + 308. Determine a(44).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = 2*m + 2*q - 36, m + 3*q = 24. Let c = -11 + m. Suppose -y - 39 = -c*y. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 1:32 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 - 145 = -2*u. Find the second derivative of -173*g**2 - u*g**2 + 22*g**2 - 147*g**2 + 133*g + 49*g**2 wrt g.\nAnswer: -632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 321633475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 5 + 1 + (5 - 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1057210952 to the nearest integer?\nAnswer: 32515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 884.6 + -876.6. Which is the biggest value?  (a) 3\/5  (b) 1  (c) -24  (d) f  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -437 = -10*o + 6573. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -133*g - 4639. Determine l(-36).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1123 + (2 - 3)*1. What is the common denominator of -10*2*1\/22 and (-3)\/9 - o\/(-72)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (4\/5)\/((-2)\/(-270)). Let d(f) = -46*f - 10. Let g be d(-1). Calculate the highest common factor of g and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(1\/11)\/(r\/((r\/r**20*r)\/r)) assuming r is positive.\nAnswer: r**(-219\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/6 of a minute in seconds?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6005731 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 nearest to -4 in 5, 3\/2, 2\/705?\nAnswer: 2\/705","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 51\/5 of a decade?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/(-6) - (-2)\/6. Suppose i + 2 = -r. Which is smaller: -2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 46944, -3, 2, -5, -20, 4 in ascending order.\nAnswer: -20, -5, -3, 1, 2, 4, 46944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**3 + 3*a**2 - 4*a - 14. Let u be f(-3). Let r be (u\/(-8) - (-12)\/16) + 0. Solve 0 = n + 3 + r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the third derivative of -m**8\/1176 + 4*m**7\/245 - 23*m**6\/210 + 2*m**5\/7 - 25*m**4\/84 + 2*m**2 - 517. Determine t, given that s(t) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 f when two letters picked without replacement from {m: 1, o: 1, t: 1, n: 1, f: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/8)\/(67\/268)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**3 - 5*u**2 + 4*u + 3. Give f(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -360*o = -610*o - 598*o + 22896 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, -10, -15 in decreasing order.\nAnswer: -1\/2, -10, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 140 and 3?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m + m - 3*m)*(m - m + m**2) + 10 - 10 - 5*m**3 + 2*m**3 + 29*m**3 - 27*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tee when three letters picked without replacement from fsete.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dzd when three letters picked without replacement from qbbzzqzzqbdzdhz.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 63222272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 63 + 403. What are the prime factors of m?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hzbsaszzzzhz. What is prob of picking 1 b and 2 h?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50 is divided by 32.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 148*g - 1659. Give n(4).\nAnswer: -1067","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**2 - 8*c - 35. Let v be b(11). Let h = v + 40. Let i = h - 36. Solve 2*y = -i*y + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -42511, -85020, -127529, -170038, -212547?\nAnswer: -255056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes before 4:35 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 12 - 2 - (-1 - -2). Suppose 14*w - 130 = t*w. Find the second derivative of 2*y**2 - 32*y + 3*y**2 + w*y wrt y.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 950949 is divided by 1119.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(171)*-4 - (-5 + (sqrt(171) - (sqrt(171) - -2*sqrt(171)))))**2*5 + 0.\nAnswer: -600*sqrt(19) + 3920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4311.3 - 4311. What is the closest to 2\/7 in 6, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1615318182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**2 - 3*o + 10. Let q be v(-4). Suppose -3*k - 3 = -q*k. Which is smaller: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -4286, -4278, -4260, -4226, -4170?\n\"Answer: w**3 - w**2 + 4*w - 4290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -200 = -15*n + 7*n. What is the remainder when n is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -4*t**2 - 39*t - 8. Let y(o) = 4*o**2 + 40*o + 6. What is 2*p(a) + 3*y(a)?\nAnswer: 4*a**2 + 42*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*n**5 + 3*n**5 + 13*n**5 + 26*n**4 - 57*n**2 - 7*n**5 wrt n?\nAnswer: 60*n**2 + 624*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -255*z + 258*z + 2*d = 18, 2*d = 7*z - 22. Solve z*c = -5*a - 10 - 15, 5*a + 25 = 5*c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -301 divided by -8684.\nAnswer: 301\/8684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5036740?\nAnswer: 2, 5, 71, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13492*v - 161 + 13498*v + 161 - 26955*v.\nAnswer: 35*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8001864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*q**2 + 4552561 - 4552561.\nAnswer: -26*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 3, 1\/3, 5, 2\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:07 PM and 2:50 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (36\/1488)\/((-27)\/72).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, p: 4, o: 3, y: 2}. Give prob of sequence ipyo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/67  (b) 3\/4  (c) -580  (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 - 10)\/(-2) + -1. Suppose 4*z - m*n = -4, -3*z = -z + 3*n - 18. Solve -z - 1 = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 2*z - 6 = 0. Let l = 14 - z. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(49) - (sqrt(490)*-5)\/sqrt(10))*4)\/(sqrt(700)*6*4).\nAnswer: sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 150\/55*(-286)\/39?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*o + 13 + 11. Let v(f) = 4*f**o - 7*f - 3*f**3 - 2 + 19*f**2 - 20*f - 42. Is 26 a factor of v(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*o - o - 1 + 5*o**3 - 4*o**3 + o**4 + 2*o as m*o**4 + c*o**2 + h + b*o**3 + x*o and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l**4\/4 + 21*l**3\/2 + 10*l**2 - 21*l\/2 - 41\/4 = 0. Calculate l.\nAnswer: -41, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*b - 25 = -4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 + 6)*(112\/21 + -5). Let o(h) be the third derivative of 3*h**2 + 0*h + 0 - 1\/8*h**4 + 1\/6*h**3. Give o(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-5 + 5 + -3*sqrt(5)).\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 145*o - 496 = 83*o. Solve -128 + 184 = -o*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 261012*t**2 + t - 65690 wrt t.\nAnswer: 522024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*x**5 + x**5 + 0*x**5 + (x**3 - 4*x**3 + 2*x**3)*(242*x**2 - 5*x**2 + 107*x**2).\nAnswer: -343*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2 - 0 - (3 - 4). Let q be r\/(-3 - (-14)\/5). Suppose c + q*z + 13 = 5*c, 0 = 5*c - 2*z - 12. Solve 0 = h - c + 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from jjmbjkjjmjjtjl.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2067 and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.93513 hours in seconds?\nAnswer: 14166.468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h*(h\/(h\/(h*h*h**(-2\/3)*h*h*h)))\/h*h*h)**(-2\/105)\/(h*((h*(h\/h**6*h)\/h)\/h)\/h)**(11\/4) assuming h is positive.\nAnswer: h**(17149\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 2*c**2 - 9*c + 92. What is o(9)?\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/24)\/((-21)\/28). Let a(v) = -v**2 - 7*v - 2. Let t be a(-6). Let h be (-4)\/(-14) + t\/(-14). Which is bigger: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32c (base 14) in base 8?\nAnswer: 1164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 158 - -55. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (72960\/(-288))\/76*6*1\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*c - p - 2155, -4*p = -21 + 1. Let w be 9\/(-12)*-14*c\/(-105). Calculate the greatest common divisor of 126 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -702\/7 + 100. Which is the nearest to l?  (a) -0.3  (b) -4  (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/1*(0 - 2). Suppose -c - 6 = 4*n, 2*c - 2*n + 0 = -i. Calculate the remainder when 17 is divided by c\/4*(1 + -11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u - 141*k - 18 = -144*k, -3*u = -3*k + 18 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 3, z: 13, c: 2}. What is prob of picking 1 z and 1 u?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -3\/44994568?\nAnswer: -3\/44994568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1020?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 3) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -34 - -33.51. Round i to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/8*(-32)\/(-8)*700\/(-300).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**4 - 100*s**3 - 1728*s**2 - 12636*s - 33534.\nAnswer: -2*(s + 9)**3*(s + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1336\/(-16) - 1\/2. Let f be (-1)\/9 + r\/(-189). Let n = -199\/4 + 1019\/20. What is the nearest to -4\/17 in n, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**3 - 30*g**2 + 55*g + 19. Determine l(-32).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 63\/77 - (-4)\/22. Let n(v) = 25*v**2 + 2*v - 1. Calculate the remainder when n(d) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 12\/27 + (-2)\/9. Is 0.9 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 20*p**2 + 17*p - 17. Let r(z) = 2*z**3 - 2*z**2 - 2*z + 3. Let o be r(2). Let f(q) = 5*q + 5*q + o*q**2 - 4*q - 6. Give -6*b(n) + 17*f(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1123 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -5*t + 6. Let w(h) = -4*h + 5. Let f(p) = p**2 - 3*p + 4. Let d be f(3). Let s = -12 + 8. Let i be (-18)\/s*(-4)\/6. Give d*w(m) + i*r(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-50)\/(-6)*(-675)\/(-20250)*(-3)\/(-5)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 44183245*q**4 + 103137715*q**2?\nAnswer: 1060397880*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -0.5  (b) -108  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2  (b) -5  (c) 13938  (d) -64  (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 181455302?\nAnswer: 2, 7, 12961093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**2\/3 + 154*x\/3.\nAnswer: x*(x + 154)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57*j**2 - 3*j - j + 1 + 4*j.\nAnswer: -57*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(6*((sqrt(147) - (3 + sqrt(147) + 5)) + sqrt(147)*-1*1)*-3)**2*-3.\nAnswer: -1230552 - 653184*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 122 = -3*m, 2*m - 300 = -2*u - 80. Suppose -u = -k - 116. Let z(h) = 6*h + 2. Let x(v) = 5*v + 2. Determine k*x(i) + 2*z(i).\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 311373115 divided by -1\nAnswer: -311373115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10*108\/225*390\/819.\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 826 - 623. Factor s*g - 19*g**2 - 17*g**2 - 5*g**3 + g**2 - 220 - 3*g.\nAnswer: -5*(g - 2)**2*(g + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1117*d**2*t**2*u + 473*d**2*t + 2*d**2*u*w + 2*d*t**2*u*w - 4*u*w wrt t?\nAnswer: 2234*d**2*u + 4*d*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((sqrt(22) + sqrt(22) + sqrt(792))\/sqrt(11)*-3 + 2 + sqrt(18)\/(sqrt(90)\/sqrt(10)))*-6.\nAnswer: -8 + 138*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the third derivative of 43*v**7\/70 + 17*v**5\/60 - 3*v**4\/8 + v**3\/3 + 1862*v**2 - 3. Find the second derivative of r(m) wrt m.\nAnswer: 1548*m**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1\/11820, -2\/17, -0.5, -0.1, 2, 9, -2\/7?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2857 is divided by 481?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -20.98 + 21. Let i = -72.3 - -71.8. Which is the closest to -1\/3?  (a) i  (b) o  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 715509, 1431018, 2146527, 2862036?\nAnswer: 3577545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 123, 172, 211, 240, 259, 268?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 5*o**2 - 277*o - 163. Let f be c(56). Suppose -r + 45 + 86 = 0. Suppose m = -5*d + 77 + 50, 3*m = -f*d + r. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/9 at most as big as 28\/225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(3*-1*sqrt(1539) + -3))**2 + -5 + (sqrt(1539) + -3 + sqrt(1539))*4 + -2.\nAnswer: 2664*sqrt(19) + 221741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w - 0*w - 9. Suppose 0*p + w*p = 633. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3*(-4)\/6 + -1. Let y(k) = k**2 + 9*k + 12. Let t be y(-8). Let l = t - u. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hscppscpcnccchpphp. Give prob of picking 1 n and 3 h.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 50 + 42 - 30*m + 48 - 136 in the form p + k*m and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 36843 + -34803. What is the greatest common divisor of o and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10823250 to the power of 1\/2, to the nearest integer?\nAnswer: 3290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are 98 and 97 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19*-10920.2.\nAnswer: 207483.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s - 5*s + 6*s)*(-1 + 3 - 5).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t*t**(-36))\/(t*t\/(t**(2\/3)\/t*t*t)) assuming t is positive.\nAnswer: t**(-103\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 4*f**2 + 2*f + 3. Let h(m) = 271*m - 4063. Let l be h(15). Let t(i) = 3*i**2 + i + 2. Give l*w(x) - 3*t(x).\nAnswer: -x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-354)\/59 - ((-2 + -681)*14 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -8220674 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1\/((-8)\/(-6)) + (-412300)\/(-496)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 127946.6 to the nearest ten.\nAnswer: 127950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 33637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -q + 27*q**3 - 37*q**3 - 3*q**2 + 19*q**3 as c + h*q**2 + i*q + x*q**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-175203)\/216 + 2\/16. Let n = a - -1280. What are the prime factors of n?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31066.98 months to centuries.\nAnswer: 25.88915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1271 + 2020. List the prime factors of p.\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 9*d**2 + 5*d - 7. Let s(h) = 17*h**2 + 11*h - 13. Let m(l) = -11*p(l) + 6*s(l). Let y be m(-6). Are y and 41 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4e164e6 - 0?\nAnswer: -4e164e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 11957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/((-2)\/2) + 3931336\/(-4102464). Let f = -1\/21367 + b. What is the common denominator of f and (-2)\/15*3\/(-8)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7111535 * 0.4\nAnswer: -2844614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.07  (b) -4\/3  (c) 0.12  (d) -4  (e) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 2*m - 13. Let c be y(9). Solve 0 = -5*r + o + 17, -c*r + 39 - 16 = -4*o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -4*i - 26 - 3, 7*s + i + 51 = 0. Let a(g) = -4*g - 21. Determine a(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 - 2*q**2 + 0 + 5*q**2 - 3*q**2 - q**2 + (-2*q + 1 - 1)*(4*q - 5*q - q) + 3*q**2 - 7*q**2 + 2*q**2 + 2*q - 2*q + q**2 as r*q + s*q**2 + z and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -127.73 - -129. Let g = q - 1.27000053. Round g to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -33\/181064 and -185\/950586.\nAnswer: 3802344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 23995 - 23995.34. What is the second biggest value in h, 1\/3, 1\/5, 0.12?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -m - 12*m - 18*m + 27*m - 11*m.\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 17 divided by 425663\nAnswer: 1\/25039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z + 4. Let s = 2 + 1. Calculate f(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -244313103 + 3?\nAnswer: -244313100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-155)\/(-31) - (2 + 185\/60)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1242432 is divided by 19412.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.0173307 millimeters?\nAnswer: 17.3307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 11359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 2084590.41 hours?\nAnswer: 12408.27625","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 35, 19, -13, -67, -149?\n\"Answer: -j**3 - 2*j**2 - 3*j + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((-1 + sqrt(2736))*-6 + -6*(sqrt(2736) - (-1 + sqrt(2736) + sqrt(2736)))**2).\nAnswer: -98496 + 432*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0 + 1)\/((-78)\/(-10764)). What is the greatest common divisor of r and 4002?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 495109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**3 - w. Let g(j) = -2*j**3 + 2*j**2 + j - 1. Let k(b) = -3*a(b) - g(b). Let p be k(-2). Put p, 1, 5, -1 in descending order.\nAnswer: 5, 1, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 c, and 1 m when three letters picked without replacement from fmflcflcfu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-42*605\/(-223608))\/(((-2)\/(-8))\/(-1))?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (8\/60 - (-10)\/(-75))\/1. Which is the biggest value?  (a) 18\/19  (b) q  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times -6.57\nAnswer: 1.971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**3 + 6*r**2 + 10*r + 4. Calculate x(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-48)\/(-408) - (-62)\/340)\/((-1)\/(-10)). Solve 2*s = -h*t + 272 - 279, -3*t + 3*s - 27 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 250230 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkkkkwkwkkkkkwkkk. Give prob of sequence wkww.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.2, -5, 2\/9, 271, -22?\nAnswer: 271","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddm when three letters picked without replacement from ddm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1755 - -5.440766231?\nAnswer: 1760.440766231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 18, b: 2}. Give prob of sequence bbdb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 3 + 6 = -5*h, 0 = 3*h + 9. Suppose -2*k = -l - 7. What is the remainder when k is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -153 + 168 + (-14 + 3 - -5) - (-8 + 3)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 2*i = 0. Suppose -10 = -5*z - i*z. Suppose -3*x + 2*k = -228002, -2*k + 4*k - 151998 = -z*x. Round x to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**(-4)*c**(-3))**3*(c**(-5)\/(c\/(c**(2\/13)\/c)))\/(c*c*c*c*c**(1\/8)\/c*c*c**(-1\/2)*c) assuming c is positive.\nAnswer: c**(-569\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 67 + 274. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.2  (b) -2  (c) -0.4  (d) -142.9  (e) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38848*w**2 - 77708*w**2 + 17*w + 38864*w**2 + 0*w.\nAnswer: 4*w**2 + 17*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r**3 + 656*r**2 - 7804*r - 18200 = 0. Calculate r.\nAnswer: -175, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s**(-1)\/s)\/s**(-3))\/(s\/(((s**(2\/5)\/s)\/s)\/s))**4)\/(s\/(s**(-3\/2)\/s)*(s*s\/s**6*s)\/s)**(-5) assuming s is positive.\nAnswer: s**(-149\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*b - 150 = -3*b - 15. Solve g - 83 = -88, -b*h - 2*g = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 - -11) + 2 - -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-22*u + 2*u**2 + 22*u)*(-3 + 1 - 3 + (3 + 0 - 1)*(5 - 4 + 2)) as d*u**2 + g + k*u and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -42545 - 102?\nAnswer: -42650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0*2693.61\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -2*a**3 + 20*a**2 - 351*a + 3003. What is b(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 57*p - 60*p + 39*p.\nAnswer: -78*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, 3, 0.41?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2410 or 342?\nAnswer: -2410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/14 - (-15305)\/(-63). Let k = x + 243. Let r be (-3)\/27 - 60\/(-54). Which is smaller: r or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-2)*(-3)\/(-12)*-2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9666, -76968, -259594, -615204, -1201458, -2076016?\nAnswer: -3296538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 346.8152 hours to microseconds.\nAnswer: 1248534720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - v = -3 - 6, -2*v + 26 = -4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 4*h = 617, -4*h + 195 = k - 0*k. What are the prime factors of k?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 2*y**2 - y - 50. What is the tens digit of m(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:08 PM and 2:54 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 223*g - 4. Let p(x) = -18*x**2. What is p(t(z))?\nAnswer: -895122*z**2 + 32112*z - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(((sqrt(160)*2*-5)\/sqrt(4))\/(sqrt(48)\/(sqrt(216)*-2)) + 1).\nAnswer: -480*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 2\/19, 3\/7, -3, 650, -324?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 6118624 * 0.3\nAnswer: 1835587.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v + 2*v + 6*v. Solve -5*w = x + 17, 0 = 5*w - v*x - x + 23 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -87\/4508 and -73\/2898?\nAnswer: 40572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f - 2*p + 13 + 11, -4*f + 3*p + 14 = 0. Let a be 4\/(-10) - 12\/(-5). Suppose -19 = -3*s - 0*t + t, 2*s + a*t - 2 = 0. Solve 0*y = s*y - f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -28, 1\/10, -373\/4, -0.039, -4 in descending order.\nAnswer: 1\/10, -0.039, -4, -28, -373\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 3*y - 402, 3*c - 2*y - 2*y - 388 = 0. Calculate the highest common divisor of 33 and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 4\/105345717 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 25523340.\nAnswer: 1\/12761670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59609947.\nAnswer: 397, 150151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -214, -397, -518, -547, -454?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 99\/281554 and 10\/1443.\nAnswer: 31252494","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**2 + 9*r - 23. Calculate the remainder when (8 - 5)*((-785)\/(-15) + -5) is divided by m(-13).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0033724976 rounded to 4 dps?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -24631953 divided by -3?\nAnswer: 8210651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 13*f + 86. Let b(k) = 4*k + 30. Let i(r) = -8*b(r) + 3*q(r). Give i(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.019 to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 7\/(245\/(-15))*-7. Let t(x) be the second derivative of -1\/12*x**4 - 1\/6*x**s + 5*x**2 + 0 - x. Give t(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 165*z + 3638. What is k(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4285 - 4280. Which is the nearest to 0.3?  (a) -1  (b) z  (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 76\/6 + 11186\/(-658)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 11 + -22 + (-6 - -9).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1, -36, -156, 22 in descending order.\nAnswer: 22, 1, -5, -36, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 - 1. Let s be 0 - b - 2\/1. Suppose -s*f = -f + 4, 3*f = -3*a + 468. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, -2, 20875826?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 2*p - 4. Suppose -20*b = -26*b + 24. What is w(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 40*c + 89 + 191. What is the nearest to 1 in 0, c, -1\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 35*h**2 + 11*h - 10. Let a be z(1). What is the highest common factor of a and 927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes after 9:22 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6\/5*y**4 + 12\/5*y**3 - 24\/5*y - 18\/5*y**2 + 24\/5.\nAnswer: 6*(y - 1)**2*(y + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-30)\/(-72)*(-3)\/(-30)*-3.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2.158 + 0.038. Let w = 1.12 + c. Which is smaller: w or 0.036?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((0 + 90)\/(-9))\/2 + 7. Let m(n) be the second derivative of -1\/8*n**4 - 14*n + 0 - 15\/4*n**r - 3\/2*n**3. Factor m(c).\nAnswer: -3*(c + 1)*(c + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -11*l - 5*l + 18*l - 30 - 5*l. Let j(h) = -5*h**2. What is j(b(k))?\nAnswer: -45*k**2 - 900*k - 4500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1506, -6, -9.7 in ascending order.\nAnswer: -1506, -9.7, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/13, 2\/7, 68, 0.5, 4\/3 in decreasing order.\nAnswer: 68, 4\/3, 0.5, 2\/7, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 268\/(-22)*(-4)\/8*396990\/36090\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 5*c - 2. Let v(d) = -d. Let m be 2 - (1 - (-1 - -1)). Let z(j) = m*g(j) + 4*v(j). Let o be z(3). Solve 2*w + 2*w + o = -b, 3*b = -15 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 149\/69930 and 121\/30?\nAnswer: 69930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 97035154 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -278675, -278488, -278301, -278114?\nAnswer: -277927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the third derivative of -25*m**8\/336 - 31*m**5\/60 - 15*m**2. What is the third derivative of a(i) wrt i?\nAnswer: -1500*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**2. Let s(z) = z**2 + z + 1. Let o(c) = -4*c**2 - 3*c - 3. Let j(u) = o(u) + 3*s(u). Calculate j(w(q)).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:08 PM and 10:18 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 25 and 77559075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*s**2 - 173325*s + 173320.\nAnswer: 5*(s - 34664)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 2*a + 5 = 4*y, -3*a + 24 = -4*y. Let i be y\/(-5)*70\/21. Find the third derivative of 60*c**2 + i*c**6 - 4*c**6 - 48*c**2 wrt c.\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28562*(3 + (280\/16)\/(-7)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 89061, 89060, 89057, 89052, 89045, 89036?\nAnswer: 89025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 2*y**3 - 17*y**2 + 7*y + 15. Determine q(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-5)\/((w*w**(-4))\/w))\/((w*w**(-9))\/(w\/w**(-1\/2))))**5 assuming w is positive.\nAnswer: w**(85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 9 - 8 = 0. Let w(c) = -266*c**3 - c**2. Let f be w(x). Suppose -17*z = -22*z + f. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the third derivative of f**5\/60 - f**4\/24 + 5*f**3 - f**2. Calculate the remainder when u(0) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3cc - -5?\nAnswer: -3c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(19) + sqrt(19) + 5 - (sqrt(684)*-1)**2.\nAnswer: -679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 257641381 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -14655000 rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 744 and 12.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 6*f + 2*y - 136, -3*f + 80 = 2*y. Let w = -250\/9 + f. Let o be (-6)\/(-15) + (-3)\/(-5). Put w, o, 1\/4 in increasing order.\nAnswer: w, 1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*x - 15*x - 3168. Let y = -146 - x. Sort y, 0, 1 in descending order.\nAnswer: 1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16823 is divided by 276.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 + -e?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 6*n**2. Let y(h) = -79*h**2 + 133*h - 6. Let s(v) = -80*v**2 + 152*v - 7. Let f(u) = -7*s(u) + 8*y(u). Determine f(l(z)).\nAnswer: -2592*z**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**3 + 22*f**2 + 253*f + 5590. Let h be n(-22). Suppose 3*z - 346 = 5*v + 600, -5*z = 5*v - 1550. Calculate the greatest common divisor of h and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (6*(-88)\/(-33) - 11) + -2. Sort n, -4, -2, -152 in decreasing order.\nAnswer: n, -2, -4, -152","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 541*y - 57837 = 57*y - 9437 for y.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.1 + 0. Let v be (0 - 0)*(-12)\/(-24). Let w be (3 + -1)\/(130\/10). Which is the nearest to v?  (a) s  (b) w  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -4 - (3 - 3 - 35). Suppose 3*w - 4 = -2*f, 3*w - 3*f - d + 7 = 0. Let v be -5*w\/(-40)*4. Solve 0 = z + v - 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1861185 and 89.\nAnswer: 165645465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**3 - 10*c**2 - 8*c - 29. Let w be l(11). Let s = 4 - -1. What is the biggest value in 0, w, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -43*u**2 - 2*u + 7. Let o(n) = 4*n**2. Calculate w(o(s)).\nAnswer: -688*s**4 - 8*s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 3, a: 7}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.036, 1, -1\/3, -0.2, 0.21 in ascending order.\nAnswer: -1\/3, -0.2, -0.036, 0.21, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 117 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 + 4. Suppose r = -r + 24. What is the lowest common multiple of f and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of -2*x**5\/25 - 73*x**4\/10 + 506*x**3\/5 + 1733*x**2\/5 + 1804*x\/5 + 6401. Determine t, given that b(t) = 0.\nAnswer: -82, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -58\/17 - -338\/119. Sort -4\/5, -0.4, h.\nAnswer: -4\/5, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3593607 is divided by 338?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 46252848?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3503 - 2?\nAnswer: 3501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 10584, 84700, 285872, 677628, 1323496, 2287004?\n\"Answer: 10588*b**3 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 7 and -12.656.\nAnswer: -5.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) -398  (b) 5  (c) -0.4  (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(-7) + 70755\/420*4 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4003134 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28 is divided by (-1 - 11\/(-5))*5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -4 + 2 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -4*f**2 + f. Let b(r) = r**2 - 7*r - 7. Let m be b(8). Let o be v(m). Sort 1, o, 4.\nAnswer: o, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 325 or 4244\/13?\nAnswer: 4244\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19945, 79228, 178033, 316360, 494209, 711580, 968473?\nAnswer: 1264888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-8)\/(-4) + -2*4\/4. Let c be -17 + 17 - l\/(-2). Solve c*i - 6 = -2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*x + 1843*x + 16 + 17 - 33 in the form d*x + o and give d.\nAnswer: 1845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 6, 1533, 5, 12, -4, -3.\nAnswer: -4, -3, 2, 5, 6, 12, 1533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 - l**2 + 2*l + 2. Let m be t(0). Factor 3*g**m + 116*g + 30*g + 112*g + 5547.\nAnswer: 3*(g + 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**1\/m)**(-23))**(-43)*(m*m*m**0)**(-34)\/((m**(2\/5)*m)\/m)**42 assuming m is positive.\nAnswer: m**(4521\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*l - 23*l = 792. What is the highest common factor of 18 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -17237 - q**2 + 8603 + 8620. Let g(a) = 9*a**2 + 3*a. Let o(l) = 13*l**2 + 5*l. Let f(n) = 7*g(n) - 5*o(n). Let t be f(-2). What is w(t)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 189538224 a multiple of 1320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the first derivative of 5\/2*y**2 + 0*y + 200. Let u(h) = -16*h**2 + 8 - 8. Determine u(t(q)).\nAnswer: -400*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**5 + 21*l**3 - 20*l**2.\nAnswer: -l**2*(l - 4)*(l - 1)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -627 - -1017. Suppose 11841 - u = 3*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*h**2*k**3*t**3 - 12*h**2*k**2*t**3 - 2*h**2*t**2 - 2*h*k*t - 4*h*t**2 + k**3*t**2 wrt t.\nAnswer: 24*h**2*k**3 - 72*h**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 - -4 - -6*1. Let h be (-3)\/(6\/w) + 2. Let n be (0 - 3) + (-12)\/h. What is the second biggest value in 0, -2\/7, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 432.5 + -432.2. Suppose -q - 3 = 0, -2*f + 49 = -2*q - 3*q. What is the fourth smallest value in -1, 0.1, f, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*j**2 + 34 - 44 - 2 to the form w*j + x*j**2 + b and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 369427737 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.10646811 to 3 decimal places.\nAnswer: 0.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -10 - 5*j - 3*j - 4 + 11 in the form a + t*j and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 - 3. Let v(j) = -5*j**2 - j - 1 - 3*j + o*j**2. Give v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2\/(-6))\/((-4)\/3). Let h = -60874 + 60869. Sort h, f, 2\/5 in ascending order.\nAnswer: h, f, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*r**2 + 0*r**2 - 32924*r**3 + 106581*r**3.\nAnswer: 73657*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u + q + 244 - 237 = 0, -2*q = 3*u + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8283*a**2*x**3 + a**2*x + 40*a + 2*x**4 + 2*x - 83 wrt x?\nAnswer: -49698*a**2*x + 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(44) + sqrt(440)\/(sqrt(20)\/sqrt(2) + sqrt(10)))*5)\/(-1*sqrt(40)\/sqrt(10)*1))**2.\nAnswer: 2475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4327897 at most -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 918248 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*a**2*l*r - 23*a**2*l - a**2*r*y - 19*a*r + 3*l*r*y + 3*l*r + l wrt a.\nAnswer: -14*l*r - 46*l - 2*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -1625*o - 525. Let p(d) = -28*d - 9. Let a(n) = -175*p(n) + 3*w(n). Let x(b) = 6*b. Determine x(a(m)).\nAnswer: 150*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 93*g*v*x*y**4 - 2*g*v*x*y**3 + g*v*x*y**2 + 6*g*v*y - 3*g*x*y**2 + x*y**2 wrt y?\nAnswer: 2232*g*v*x*y - 12*g*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-7 + 2 - -2) + (-5 - -26) + 21\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 32, -0.2, 2\/11 in descending order.\nAnswer: 32, 2\/11, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 130770 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -14 - (-40 + (-14 - -37) + 16)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**3 - 7*a**2 - a - 31. Let x be h(-10). Suppose 0 = -4*s + 77 + x. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -587*-1.2025\nAnswer: 705.8675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z + 1. Let p(r) = r. Let j(v) = 27*v - 13. Let y(h) = j(h) - 6*p(h). Let q(s) = 10*s - 7. Let a(g) = -5*q(g) + 2*y(g). What is 2*a(o) - 18*c(o)?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1312025, 1312117, 1312273, 1312493, 1312777?\nAnswer: 1313125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 535 + 19?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*l**5 - 780*l**4 - 951336*l**3 - 7558720*l**2 = 0. Calculate l.\nAnswer: -395, -8, 0, 598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 5, s: 11}. What is prob of picking 4 s?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*f + 3 - 3)*(-9 - 1 + 2)*(4*f + 3*f + 0*f) to the form i + v*f + b*f**2 and give b.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 364097163?\nAnswer: 3, 97, 431, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - 2. Let f = 2 - u. Let t = 2 + f. What is the biggest value in -2, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -187 - 1370 = -41*c + 411. Let l(b) = -2*b + 2. Let k be l(2). Sort -4, k, 1, c in descending order.\nAnswer: c, 1, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13 + 21. Suppose -4*j + 3*q = -11 - 21, -j = 5*q - h. Let c = 16 - 14. What is the highest common divisor of c and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the first derivative of -b**2\/2 - 15*b - 16. Let r be i(-16). Which is bigger: 2\/31 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*h + h**2 - 4*h)*(-354*h + 380*h + 6 - 3).\nAnswer: 26*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 846, 845, 844, 843, 842, 841?\nAnswer: 840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(-8)*(-4)\/(2\/(-2)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6157824360?\nAnswer: 2, 3, 5, 51315203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v = 2*y - 51, -4*y - 4*v = 35 - 88 + 17 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-304)\/48 + ((-4)\/3)\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3253898826 to the nearest integer?\nAnswer: 57043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(832)*-1)**2.\nAnswer: 32*sqrt(13) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000114578 rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -403.2 in 1, -7408, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 30*o - 33*o + 21 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -q + 5*b, 0*q - 5*q - 4*b = -4. Let f(v) = v**2 - 7*v. Let s be f(8). Find the third derivative of -13*l**2 + 11*l**4 - q*l - 4*l + s*l wrt l.\nAnswer: 264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 98, -4, 4 in decreasing order.\nAnswer: 98, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*d + 7*d + 3*d + 4)*(-d**3 + 2*d**3 - 3*d**3) in the form v*d**4 + s*d + p + o*d**2 + t*d**3 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bwblblllblwlblbbbbw. What is prob of sequence bbl?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 1837 = -8*n + 3*n, -2*c + 1838 = 4*n. List the prime factors of c.\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/(-49))\/((-48)\/14)*-3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/2  (b) -3  (c) -4  (d) 3\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -36 - -84. Is w a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 13811 and 1057528.\nAnswer: 7402696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j + 6 + 4. Let y(c) be the first derivative of -c - 3 + c**3 - 5 + 5 + 4*c**2 - c**j. Let k(q) = 2*q**2 + 5*q - 1. Determine -5*k(g) + 4*y(g).\nAnswer: 2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1489875 divided by -685\nAnswer: 2175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1982278296.\nAnswer: 2, 3, 29, 193, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (25 - (7 - -18))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 112734.099 - 112824. Let b = 0.099 - r. Let o = b + -90.053. What is o rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11278 - -2?\nAnswer: 11280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.04*-382.\nAnswer: 15.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -89  (b) -5  (c) 3\/76  (d) -77.1  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 211211021021 - -11?\nAnswer: 211211021102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 11719.4883 rounded to the nearest 10?\nAnswer: 11720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11432 and 2.\nAnswer: 11432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 618478 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000231285 rounded to 7 decimal places?\nAnswer: -0.0000231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -203*j + 83 = -729. Let w(u) = 11*u**3 - 5*u - 7. Let s(b) = 6*b**3 - 3*b - 4. Give j*w(l) - 7*s(l).\nAnswer: 2*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (2 - -5) + -23 + -5 + 11\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 2 = 0, 0*s = 5*s + 3*t - 322. Solve -11*w - 54 = -s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:49 AM and 11:15 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -6*h - 4*w, 3*w - 9 = 89*h - 87*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 769040007 to the nearest integer?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -126*u**4*x - 2*u**2 + 8*u + 19*x wrt u.\nAnswer: -3024*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p - 2*p - p)*(-p**3 - 2*p**3 - 3*p**3) + (0*p - p**3 + 0*p)*(5*p - 2*p - p).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.45 - -72.95. Let n = -70 + s. Which is bigger: n or 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-11)\/(-7) + (-6)\/(-14). Find the third derivative of 8*u**2 - 40*u**4 + 36*u**4 - 6*u**l + 14*u**2 wrt u.\nAnswer: -96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6.68 + -1.32. Which is the second biggest value?  (a) 2  (b) 2\/9  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1061 - 953 + 689)*(0*i**2 + i**2 + 0*i**2).\nAnswer: -1325*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2181152 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 + 2740?\nAnswer: 2737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19 + 14. Calculate the lowest common multiple of ((-6)\/(-15))\/(o\/(-125)) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -51 + -4?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-1\/5)*a\/(a\/((a**(2\/11)*a)\/a)))\/(a*a**5)**(4\/27) assuming a is positive.\nAnswer: a**(-449\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*n - 3*n - n to z*n + u and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 15516601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -356943, -713848, -1070753?\n\"Answer: -356905*c - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -2*m + 2. Suppose 2*b + 3*b + 5*c = 40, c + 8 = 3*b. Let u(v) = 0 - b + 2*v + 3. Suppose -11 = -5*g - 1. What is g*z(y) + 3*u(y)?\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5\/548 + -1181\/9316. What is the second biggest value in 0.1, y, 1, -79?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 714, 4\/3, 3, -2\/19, 0 in increasing order.\nAnswer: -2\/19, 0, 4\/3, 3, 714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + -2. Let r = 4 - i. Let c = -5311 + 5315. Solve -3*n = -3*d - 24, 0*n + c*n = -r*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 624 = 49*j + 575 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 65044348?\nAnswer: 2, 16261087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -15654, -15739, -15800, -15825, -15802, -15719, -15564, -15325?\n\"Answer: 2*z**3 - 99*z - 15557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3792 is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 464 and 725.\nAnswer: 11600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -3*s**2. Let p(x) be the third derivative of 739*x**4\/24 - 224*x**2. Give p(j(u)).\nAnswer: -2217*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3345983 a multiple of 953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 22*r - 65. Let t be w(-14). Let y = t - -1530. List the prime factors of y.\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1 from -8934730.3422.\nAnswer: -8934729.3422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -5*m**3 - 12*m**2 + 24. Let n(g) = 4*g**3 + 10*g**2 - 21. Calculate 5*f(o) + 6*n(o).\nAnswer: -o**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 62 - 60. Let r = -7 + 11. Solve -r*d = -o*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32 (base 6) to base 9.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 0, 0 = -125*u + 121*u - 2*k + 47824. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -49 divided by 913.\nAnswer: -49\/913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 66.8474 + -0.1374. Let k = 67 - j. Let b = k - 0.215. What is b rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the first derivative of -3 + 0*q**2 + 2*q + 1\/3*q**3. What is the first derivative of a(b) wrt b?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/22)\/(-1*4\/6)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k\/((k*k**(6\/19))\/k)*k*(k*k**(-6))\/k*k assuming k is positive.\nAnswer: k**(-63\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 34\/(-6) - 20\/(-30)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 23 + -20. Factor -4*d**p - 8*d**2 + 10*d**2 + 2*d**3 - 2*d**4 + 4*d - 2*d**3.\nAnswer: -2*d*(d - 1)*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (9 - 3 + 8)*(14*u**4 - 23*u**4 - 3*u**3 + 19*u**4) to the form n*u + l + f*u**2 + i*u**4 + d*u**3 and give d.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 7*v - 3. Let h(l) = 20*l - 6. Let c(q) = -17*b(q) + 6*h(q). Determine c(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45600 is divided by 14033.\nAnswer: 3501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -2*z - 10. Let n be d(-6). Let h be (5\/2)\/1*n. Suppose 0 = -h*y - 0 + 90. Calculate the highest common divisor of y and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -9*u + 161. Let v be n(15). Let k(r) = 66*r - 3. Let h be k(3). Suppose -y - h = -4*y. Calculate the greatest common divisor of v and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 10*j - 330 = 0. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + -1 - -2*1. Let k(b) = b**3 - 11*b**2 + 2*b - 15. Let t be k(11). Let z = t - 9. Are z and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 43 + -16. What is the remainder when 107 is divided by q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, -0.07, -2\/3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-21)\/(-2))\/7*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r. Let k(y) = -97 - 23 + 3*y**2 - 3*y**2 + 277 + 2*y**2. Give k(z(h)).\nAnswer: 2*h**2 + 157","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -8*x + 3. Let r be k(-2). Sort -2, r, -3 in ascending order.\nAnswer: -3, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 81504 by 288.\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 - 99?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes after 1:54 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 6, 45, 11 in ascending order.\nAnswer: -3, 6, 11, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 324 a factor of 11664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 - 3*z**2 - 12*z + 12. Let r be v(5). Let p be (0 + 3)*(-7)\/(-3). Suppose -r*s - 74 = -p*s - o, -4*s - 2*o = -58. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1771012, 1771040, 1771068, 1771096, 1771124, 1771152?\n\"Answer: 28*p + 1770984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6644, 6648, 6654, 6662, 6672, 6684?\nAnswer: 6698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 + -2. Let y = 0.1 + 0.3. Sort y, l, -2.\nAnswer: -2, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 bigger than 127261\/2747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(1\/3)*u)**(-1\/6)\/((u\/u**(-8))\/(u\/u**(-1\/7))))\/((u**(-2))**(1\/20)*(u*u\/(u\/u**(3\/7)))\/u**(1\/4)) assuming u is positive.\nAnswer: u**(-11749\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from rrjjqjnrjjzjj.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 578 + -512. Suppose 0 = 18*c - l - 168. Let i(m) = -m**2 + 10*m - 10. Let s be i(9). Put s, c, 0 in descending order.\nAnswer: c, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 5 = -2*x - 9, -15 = a + 4*x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 51*h**5 + 11462*h**2 - 11462*h**2 + 47*h + 2*h**3 wrt h?\nAnswer: 1020*h**3 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3*592\nAnswer: -1776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**2 + 10*j - 5. Let o be (5 - (-260)\/(-8))*12\/(-10). Suppose 9*n - o = 6*n + 3*q, -5*n - 2*q + 41 = 0. Calculate p(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**2 + 4*m + 2. Let l be r(-3). Let z = 2 - l. Let y be 8\/2 + (2 - 3). Solve 4*x + 6 = x - y*j, j + z = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -8*j**3 + 5*j + 6. Let l(z) = -7*z**3 + z**2 + 4*z + 5. Calculate -6*l(o) + 5*y(o).\nAnswer: 2*o**3 - 6*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 301180397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from {p: 1, l: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0.034, -2, -19 in descending order.\nAnswer: 1, 0.034, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -3954 (base 15) in base 11?\nAnswer: -9208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17402 divided by 113.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -34, -31, -42, -73, -130, -219, -346?\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m*m\/m**(13\/2))\/(m*m*m\/((m*m**14\/m)\/m)*m*m))**(-47)\/((m\/((m*m*(m*m\/m**(-2\/9))\/m*m)\/m))\/m**(-5))**(-15) assuming m is positive.\nAnswer: m**(-1019\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -14*i - 20*i + 161 + 39*i - 18*i. Suppose 4*t - 5*u - 108 = 0, 12 - 104 = -4*t + u. Calculate the remainder when t is divided by d(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -33*y**2. Suppose 0 = -2*j + r + 36, 4*j = -4*r + 37 + 47. Let s(h) = -44 + 19 + 9*h - j*h + 25. Determine s(w(a)).\nAnswer: 330*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0562 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l + 7. Suppose -4*f - 3*b + 80 = 0, -f - 11 = -2*f - 3*b. Suppose 0 = 4*s + 2*o - 30, 5*o - f = 2*s - 8. Determine q(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -7 + 10 - ((-2 - (13 - -62)) + 4)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5499741389.\nAnswer: 379, 14511191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 9 = -2*j. Let f be (-2 - (-10)\/15)*-3. Let p(y) = 2 + 5*y - 9 + f + 0. What is p(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ujjtctj. Give prob of sequence cjt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -46.097 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:12 PM and 4:33 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -g - 2*z - 0*z - 25, g + 34 = -5*z. Let o = 23 + g. Solve 20 = 3*s + 5, -o*x - 4*s = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + k - 15 = 0, 0*m - 4*m + 20 = -2*k. Suppose m*t + 225 = 20*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -50 - -45. Let i(k) = -k**3 - 6*k**2 - 7*k - 1. What is i(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 108513 is divided by 12817.\nAnswer: 5977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 259 = 5*l - 0*v, -5*v = -l - 41. Is -1 - 448\/((-202)\/l + -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-118) + (13 - 209038\/15694).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-37)\/(-1648350)*150*-9\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -91*u + 61*u + 75*u - 97*u + 66*u.\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**2 + f + 1. Let c(i) = -1. What is 4*c(m) + 3*l(m)?\nAnswer: 3*m**2 + 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -8 at most -328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 220 divided by -261357?\nAnswer: -220\/261357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -44?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**3 + 14*s**2 + 8*s - 49. What is c(-9)?\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -2*z. Suppose z = -5*g + 11 + 9. Let s be 6 + -3 - -27 - -6. Solve 0 = 5*x + 11 - s, -3*f + g*x = 26 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 3 x when four letters picked without replacement from zzzzzzxzxzxz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - 102 = -2*i, 5*t - 328*i = -329*i + 101 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrh when three letters picked without replacement from {r: 5, h: 8}.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 77*a. Let w be y(2). Suppose -4*r + r + 276 = 4*i, 2*r + 58 = i. Calculate the highest common divisor of i and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*h - 11 + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55430?\nAnswer: 2, 5, 23, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -32, 4, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 241, -4, 3, -5\/2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**2 + 5*a - 1. Let q be u(3). Suppose -3*z = -3*h + 45, -2*h - q*z + 33 = -h. Let k = 13 + -11. What is the least common multiple of h and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 10*w - 12 = -14*w, 3*p = 4*w - 22 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 47923825 to the power of 1\/3, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - i - 12297 = 0, -2*d + 12*i = 8*i - 6166. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -757196\/75 + 10097. Find the common denominator of 1\/10*((-8918)\/21)\/7 and q.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 4*x + 11 = -9, -15 = 2*v - 3*x. Solve 0 = 3*d - 5*n + 4, 0 = -v*n - 5*n - 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t + 3*f - 11 = 5, t - 4 = 4*f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes after 8:48 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1 - (20 + -11 + (0 - 216)). Solve 44*v - k = 70*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -73 - -154. What is the greatest common factor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 9198831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 - 9\/(0 + -3). Determine x, given that 237*x**3 + 2*x**2 + 3 - 3*x - 234*x**g - 5*x**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(-4) + 1\/(-4). Let d = 4.718 + -0.018. Let r = -0.3 - d. Which is the smallest value?  (a) 5  (b) r  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 267148676.\nAnswer: 2, 17, 173, 22709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:54 PM and 12:52 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence adp when three letters picked without replacement from dwpaewewapwpwaapawdw.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11580 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5206, -5206, -5198, -5176, -5134, -5066, -4966, -4828?\nAnswer: -4646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 39617*k**2 - 113*k + 359?\nAnswer: 79234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11 + -10. What is the biggest value in -0.5, o, 1\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 = 14370236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 218a (base 13) to base 3.\nAnswer: 20102020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 78*i**2 + 140*i**3 - 78*i**2 - 32*i**3.\nAnswer: 108*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(2\/5)*f*f)**41)**(-37)*(f**1)**30*(f**1)**(1\/32) assuming f is positive.\nAnswer: f**(-577723\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < 27\/77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0\/((6\/(-10))\/((-9)\/(-45)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 6. Let a = p + -3. Let j = -0.8 - a. Which is bigger: j or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 5. Let l(v) = -147*v - 29. What is l(r) + 5*y(r)?\nAnswer: -147*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -9986.4005 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/39, -37, -0.21, 36, -8, -1 in decreasing order.\nAnswer: 36, 2\/39, -0.21, -1, -8, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -16 + 20*s + 30*s - 64*s - 2*s + 2*s - s + 3*s + s - 2*s + (-2*s + 0 + 0)*(-2 - 1 + 1) - s - 4*s + 3*s - s - s + s + 0*s + 2*s - 4*s.\nAnswer: -14*s - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*m + 67*m + 37*m + 40*m as z + r*m and give r.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(162) + sqrt(162)*1*5 + sqrt(162))\/(2*sqrt(12)\/sqrt(2))*4)*-1.\nAnswer: -42*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -5*8\/(-60)*18. Let x = h + -12. Differentiate -3 + 1 + x - 20*m**3 - 5 with respect to m.\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + z)*(-2*z**2 + 3*z**2 + z**2) + (2 + 4 - 4)*(-z - 2*z + 0*z)*(z**2 - z**2 + z**2).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 14*q + 67. Let g(u) = -5*u - 22. Let r(k) = 11*g(k) + 4*s(k). Calculate r(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 698, 697, 696, 695, 694?\nAnswer: 693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 13967, 27922, 41879, 55838?\n\"Answer: c**2 + 13952*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the third derivative of m**8\/168 + 13*m**7\/70 - 431*m**4\/24 - 236*m**2. What is the second derivative of p(q) wrt q?\nAnswer: 40*q**3 + 468*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*t + 4*t - 3*t)*(0*t + 0*t - t) + 2*t**2 - t**2 - 2*t**2 - 3*t**2 + 4 - 1 - 2.\nAnswer: -2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4300*i**2 - 4181*i**2 + 1296*i**2 to the form n + j*i**2 + s*i and give j.\nAnswer: -7185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -1735 + 308*d - 96*d - 107*d - 106*d in the form i + p*d and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -122237 or -122240?\nAnswer: -122240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*w + 2*w + 0*w)*(-16 + 4 - 6)*(2*w**2 + 5*w**2 + 2*w**2) to l*w**3 + b*w + a + c*w**2 and give l.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(448) + sqrt(448)*-4)*-1 + 3 + sqrt(448) + -1 + 2)**2*-5.\nAnswer: -35920 - 1280*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 401186?\nAnswer: 2, 29, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -287*m - 24683. Determine g(-86).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 98 = -126. Calculate the common denominator of 1196\/b - (-12)\/21 and (-2)\/8 + 170\/(-32).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.5, 0, 13, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -19539064531 - -993678665625433\/50856. Let a = 5\/4238 - m. What is the common denominator of -19\/40 and a?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in fourteeen ninths of a hour?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(65)*-4 - sqrt(65)) + sqrt(65))\/sqrt(5).\nAnswer: 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*o - 693 = 25*o + 3*k, 0 = -3*k + 9. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*o - 5*o - 43176 + 43176.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 117\/(-6) - (-2)\/(-4). Suppose 6*k - 24 + 108 = 0. Let a = k - n. Let o(t) = t - 14. Determine o(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.083 - 11.783. Let k = 8.7 + y. Which is the closest to -0.1?  (a) 3  (b) -5  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000398097 to six dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10ba26 (base 13) to base 8.\nAnswer: -1407576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 79906861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 16921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -69 + 100. Suppose 11*t - z = 2. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15568.\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-14)\/3 - (-6)\/(-18). Let i = d + 16. Solve 3*k = -6, 4*h + 1 + i = 4*k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (3 - 0) + -85 + 89?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13403.\nAnswer: 13, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/5 or -1547.755?\nAnswer: -1547.755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -402 - 0?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 104184 and 23152?\nAnswer: 208368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 27248233 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1223103013 (base 4) to base 11.\nAnswer: 280221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 42967 + 88236. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(847) - sqrt(847)*1)*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 492549 is divided by 302?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2\/26551 - 49656\/45747373. What is the second smallest value in -0.1, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -2*w**3 + 34*w**2 + 18*w + 203. Let a be g(18). Is -2.5 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-14 - 27 + 9)*(3*u**3 - 2*u**3 + 0*u**3) as f + x*u**3 + b*u**2 + c*u and give x.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*l*p**2 + 8*l*p + 5608*l - 1455615*p**2 with respect to l.\nAnswer: -3*p**2 + 8*p + 5608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 4*s**3 + 18*s**2 + 213*s - 33. Let w(n) = -2*n**3 - 10*n**2 - 105*n + 18. What is 5*v(t) + 9*w(t)?\nAnswer: 2*t**3 + 120*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 29476, 117962, 265438, 471904, 737360, 1061806?\n\"Answer: 29495*m**2 + m - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1181468, -1181467, -1181468, -1181471, -1181476, -1181483, -1181492?\n\"Answer: -d**2 + 4*d - 1181471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 132 - 48. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (74*r**3 + 24*r**3 + 17*r**3)*(-2*r + 5*r - 5*r).\nAnswer: -230*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 3*n - 711 = 0, 221 = w - 10*n + 7*n. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-115)\/4)\/((-137790)\/110232)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 20 = 0, 2*x + 4*q = 14 + 90. Suppose -6*t = 96 + x. Let j = 60 + t. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.05 and 1989708?\nAnswer: 99485.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 2574 + 548. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(52) + sqrt(52) + sqrt(832) + 4 - (sqrt(5200) - (sqrt(5200) + 2))))*3.\nAnswer: 9 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 0, 3 - 19 = -4*t + 5*i. Is 18 a factor of 134\/(5*t\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -692777.80093 - -692549.8. Let f = m - -228. Round f to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 6*v**2 + 1. Suppose 0 = -w - 3*w + 4. What is l(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1248 - 1137. Sort j, 1, -1 in descending order.\nAnswer: j, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/16 - 405\/(-120). Let c be (5 + -2 - i)\/(4\/2). Solve 3*m = -c*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 669098 to the power of 1\/2, to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -f**4 - 559038*f**3 - 1677101*f**2 + 2236140*f = 0?\nAnswer: -559035, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**2 + 6*h - 12. Let o be -6 - (-4)\/(-1)*(-13)\/(-52). Calculate l(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12811 - 12806. What is the nearest to 0 in r, 4.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jxjx when four letters picked without replacement from jxdxdjjjxdj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = n - 5*i + 10, 0 = 3*n - 4*i - 11. Suppose -2*o + 0*o + 11 = p, o = 3*p - n. Solve 0 = 2*u - 0*m - 2*m - 8, -p*u - 2*m + 17 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28452 divided by 12.\nAnswer: -2371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1.8845896 times 5\nAnswer: 9.422948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 10) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1964 + 4943*l + 4473*l - 1945 + 3909.\nAnswer: 9416*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 5*v, -22*u - 5*v + 20 = -21*u. Let g be 20\/(-5) - 7\/(-2). Which is bigger: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12221004.\nAnswer: 2, 3, 23, 44279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the second derivative of 3*f**5\/10 - f**2\/2 - 31*f. Give d(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 1559*v - 15620. Calculate k(10).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1953 - -2916. Let d = 5891\/6 - v. Let i = 2\/35269 + 3773755\/493766. Calculate the common denominator of i and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/(-12) - (-3)\/((-72)\/186). Let v(m) = 3*m - 4. Let f(l) = -10*l + 11. Give h*v(x) - 3*f(x).\nAnswer: 6*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1016341 (base 8) in base 4?\nAnswer: -1001303201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k = -c - 10, 0 = 3*k - c + 275767 - 275787 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1972392186?\nAnswer: 2, 3, 23, 14292697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -633934.7126 rounded to the nearest 10000?\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 270763 - v + 270783 - 541546.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 19189, 77165, 173927, 309481, 483833, 696989, 948955?\n\"Answer: b**3 + 19387*b**2 - 192*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/3, -5037, 5, -1\/2, -0.2 in descending order.\nAnswer: 5, 4\/3, -0.2, -1\/2, -5037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -3*g**3 - 10*g**2 - 19*g - 51. Let n be w(-3). Let c(d) = -23*d. Let r(a) = 11*a. What is n*c(s) - 7*r(s)?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 23429300 rounded to the nearest 100000?\nAnswer: 23400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 111251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1\/5  (b) -3  (c) -5  (d) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + -2418778.8643?\nAnswer: -2418774.8643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 2, -59196, 23 in decreasing order.\nAnswer: 23, 3, 2, -59196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7424559 is divided by 2692?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y - 34 + 38. Calculate the smallest common multiple of 6\/y*(420\/9 - 10) and 44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**(-6\/17))**31)**(9\/5))**47 assuming d is positive.\nAnswer: d**(-78678\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the first derivative of 28*b**3\/3 - 300. Let x(h) = -13*h. Determine c(x(r)).\nAnswer: 4732*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/4, 0, -2\/5, -4.61?\nAnswer: -4.61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.124  (b) -0.4  (c) 4  (d) 1\/2  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 53 - 51. Let t be ((-75)\/20)\/(h\/(-16)). What is the greatest common factor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2624912, 4\/7, 3 in decreasing order.\nAnswer: 3, 4\/7, -2624912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.3 - 0. Let g = -3.05 + 0.05. Which is the nearest to -1?  (a) g  (b) 0.1  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/10 and -17\/36590.\nAnswer: 36590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 22727442 a multiple of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2 + 2)*(-3)\/6. Let m = 0 - c. Solve -3*r = -0*w - m*w + 7, 5*w = 5*r + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in fourty-five eighths of a kilogram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 10 + 2. Let m(p) = p + 2. Let j = -8 + 13. Let a be m(j). Solve -5*z + a = -q, z + o = q + q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 60554076.\nAnswer: 2, 3, 11, 283, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (39\/(-6))\/((-18)\/16) and -64\/87.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3116829 divided by -3.\nAnswer: 1038943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 31091950*b + 21583621?\nAnswer: 31091950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 509.9734 to the nearest ten.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 79.94 - 25.94. What is the nearest to 0.1 in 3, x, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 310473960 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of -130.6 and -0.3.\nAnswer: -130.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 85768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 5*n - 6 = n, -6 = -3*p - 3*n. Let l(i) = -2*i**p + 12 - 12 - 8*i**2. Let h(v) = 2*v**2. Give l(h(r)).\nAnswer: -40*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -121\/144 and ((-1)\/(-66))\/(12 - (-11376)\/(-954))?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - 244\/42 - -12 - 4\/(-6)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 + 3. Suppose 2*x + t = d, 5*d + 4*x = -17 + 119. What is the lowest common multiple of d and ((-1)\/(-1))\/((-1)\/(-4))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -697*o**2 + 246*o?\nAnswer: -1394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1768*z + 120 = 1766*z - 2*f, -5*z - 297 = 4*f for z.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 8 = i + 4*g, 4*g = -20. Let u(b) = 0*b + 1 + b + i*b**2 + b**3 + b**2. Suppose -6 + 2 = t. Determine u(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**3 - 14*i**2 + 12*i - 43. Let c be t(-15). Let q(z) = -c*z**2 + 21765*z + 1 - 21765*z. Let x(m) = -3*m**2 + 1. What is -7*q(o) + 6*x(o)?\nAnswer: -4*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in fourty-nine quarters of a day?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 2087*p**3 - 2*p**2 - 4*p - 2. Let a(r) = 160704*r**3 - 155*r**2 - 310*r - 155. Give 2*a(g) - 155*o(g).\nAnswer: -2077*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -6*o + 11. Let r(h) = 16*h - 22. Calculate 2*r(b) + 5*t(b).\nAnswer: 2*b + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1733?\nAnswer: 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.38 - 7.38. What is the fourth smallest value in d, 0.01, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:52 AM and 1:44 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 48762 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 9  (b) 1\/10  (c) 5\/364  (d) 1\/2  (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 231*o = -226*o - 8668, 0 = -4*q - 4*o + 8668. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 938787869 to the power of 1\/2, to the nearest integer?\nAnswer: 30640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 11*b**2*i - 3*b**2*z - 97*b*i*z - 556*z wrt i.\nAnswer: 11*b**2 - 97*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 4*h = 124 + 372, -10*f = h + 4843. Is f at most -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 > 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 621*z - 552*z - 1033758 = 0. Is z a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/((18\/24)\/(1\/(-26))).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((m**(2\/3)\/m)\/m)\/m*((m*m**5)\/m*m)\/m)\/(m\/(m\/(m\/(m*m\/((m\/(m**(-2\/5)*m)*m)\/m)))))**(-42))\/((m\/m**(1\/3))**(-1\/11))**(2\/57) assuming m is positive.\nAnswer: m**(-211906\/9405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**3 + 6*i**2 + 4*i. Let v be y(-5). Let l = -1032 + 1036. What is the fourth biggest value in v, -0.5, 5\/7, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 318 + 34 = 0. Let k = x + 83. What is the remainder when 45 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 148 divided by -1189298.\nAnswer: -74\/594649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n - 23. Let h be q(18). Sort -4, h, 2, -2 in descending order.\nAnswer: 2, -2, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5437\/16 - 334. Let d = 19373\/756 + -698\/27. Calculate the common denominator of d and m.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the second derivative of x**9\/1008 - x**7\/140 + x**5\/40 - 11*x**3\/6 + 12*x. Let r(f) be the second derivative of c(f). Determine y so that r(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3182 and 3096.\nAnswer: 114552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 197, 349, 511, 689, 889?\nAnswer: 1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -6*p**2 + 7*p + 45. Let t(m) = 17*m**2 - 21*m - 136. Let j(z) = -11*d(z) - 4*t(z). Let r be j(7). Solve r = h - 7 + 4, -3*i + 12 = h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -4*k + 4. Suppose -l - 1 = -3. Let x be w(l). Let a(u) = u**2 + 4*u - 2. Let g be a(x). Put 4, g, -1 in increasing order.\nAnswer: g, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.4  (b) -9  (c) 3\/22  (d) 4  (e) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9 by 8701.\nAnswer: 9\/8701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4575677 is divided by 217887.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, -54, 3, 2, -1.49?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 498993 a multiple of 935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 7412\/9*z - 2\/9*z**2 - 6867218\/9.\nAnswer: -2*(z - 1853)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1131 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: Calculate the remainder when 99996 is divided by 6230.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2\/105 of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*t + 15*t - 3. Let i(c) = -3*c - 5*c**2 + 1 + 2*c**2 - c**3 - c**2. Give i(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (85\/68)\/(3\/(-18)*5)*38\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 63*x - 16*x**3 - 23*x**3 - 8 - 63*x in the form g + i*x**2 + m*x + c*x**3 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 9 - (-1 - (-10 + 20) - -9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 3 = -2. Let h = r - 3. Suppose -5*x + h*x + 4 = 4*l, -x + 5*l = -33. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.04025 + -0.84025. Sort t, -4, -1, 1\/3, 1 in ascending order.\nAnswer: -4, -1, t, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 180191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - w - 1 = 2*w, 4*w + 6 = 5*c. Let p be (-26)\/(-6) - c\/6. Solve 0 = 5*t + p*z, -4*z = -2*z - 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/188?  (a) 78  (b) 0.5  (c) 3  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*o - 285319 = 1016693 + 5112. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(168))\/sqrt(7) + sqrt(24))\/(sqrt(12) + (sqrt(972) - 1*sqrt(972))) + ((-4 + 1 + sqrt(162) - sqrt(162) - sqrt(162)) + -3)**2.\nAnswer: 111*sqrt(2) + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -55033772 + 3?\nAnswer: -55033767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 676626438187 plus -0.1?\nAnswer: 676626438186.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 27983.944 + -28084. Round h to zero dps.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -248*p**2 + 495*p**2 + 2*p - 2*p - 244*p**2. Let u(v) = 9*v + 13*v + 6*v - 1. Determine u(c(t)).\nAnswer: 84*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4012.623 litres to millilitres.\nAnswer: 4012623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 648420 is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 1 - (6 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 + -16165396428?\nAnswer: -16165396427.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2199376 is divided by 421?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -25*o**5 + 1120*o**4 - 17025*o**3 + 104930*o**2 - 257000*o + 168000 = 0.\nAnswer: 1, 24\/5, 5, 14, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.81 and 24.9?\nAnswer: 20.169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, k: 9, y: 2, g: 2}. What is prob of sequence yky?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 13\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3778480 and 876.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-2)*6\/3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -813*j**3*m - 37*j**3 - 3*j**2 wrt m?\nAnswer: -813*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 + -25 - -4) + 23.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 1 + 0)*(4 + 0 - 2)*(-6*h**2 - 2*h**2 + 16*h**2) in the form z + f*h**2 + k*h and give f.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 2 + k - 2*k + 0*k. Let c be h(3). Let j be ((-3)\/(-3) - c) + 0. Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1720695 and 120?\nAnswer: 13765560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 + 3.3. Let q = -33 - -34. What is the second smallest value in 14, q, b, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -5*f + 3*b, -27*b + 10*b = -14*b + 4 + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3737233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 681431331?\nAnswer: 3, 7, 37, 877003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 173785 is divided by 86568.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the second derivative of 0*p**2 + 3*p - 1\/12*p**4 + 0*p**3 + 0. Let w(l) = l. Determine f(w(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -48 - (-55 + 18 + 31)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6*(-2)\/2 + 1315. Let m(z) = -p + 4*z**2 + 1309. Let c(j) = -6*j. Give c(m(u)).\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2485 and 34435.\nAnswer: 241045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -61\/2520 and 163\/19530?\nAnswer: 78120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1970526 divided by -1970526\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.012 - 164672.\nAnswer: -164671.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**3 - 10*z**2 + 8*z + 18. Let c be 66\/8 + 9\/12. Let p be q(c). Calculate the greatest common factor of p and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -187 - -94. Let l be 40\/(-90) - m\/27. Solve g - 2*u + 10 = l*g, 5*u = -3*g + 17 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 0*f + 3*f**2 + 28 + f**2 - 3*f - f**3 - 27. Let c(s) = -s + 11. Let b be c(7). Calculate a(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 33 + -21. Let w be 0\/(-2*(4 - 3)). Suppose -k + u = -w*k. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -30392 - -30361.067. What is q rounded to one dp?\nAnswer: -30.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -9*j - 5. Let m(d) = 13*d + 7. Let a(o) = 3*g(o) + 2*m(o). Let p(b) = 5*b - 3. Determine -3*a(x) + p(x).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 3) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - -51?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h**3 - h + h)*(-19 - 21*h + 44*h - 20*h).\nAnswer: 6*h**4 - 38*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4 + (-4)\/(-6) + -2 - (-122)\/(-183). Let d be (0 - 2\/(-6))\/(-2). Let i = d - -17\/30. Which is the closest to k?  (a) i  (b) 0.1  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 807*a = 795*a. Solve -4*f - 3 - 5 = -2*n, a = -4*f - 5*n - 22 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -49489\/8 - -6195. Let b be 3 - (-20)\/(-4) - -5. Calculate the common denominator of f and b + (-34)\/(-44) - 1.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.69 - 1.9.\nAnswer: -1.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -22 - (4 - (18 + (0 - 9)))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes before 1:52 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3385*h**4 - 1185*h**2 - 2?\nAnswer: 81240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 142586218 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 - 5 = -3*i. Suppose 0 = 5*r - 7 - i. Solve -4 = 3*k - b - 1, 3*k + b = r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -421*o + 841*o = 411*o + 133281. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15*h**3 - 3 + 3 + (-2*h**2 + 0 + 0)*(4*h - 3*h + h) + 0 + 2*h**3 + 0 - 3683*h**2 - 84*h**3 + 3683*h**2)*(-3 + 2 - 5).\nAnswer: 426*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 336\/(-33) + ((-144)\/(-180))\/((-22)\/(-5)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 2*t - 10. Let z be f(8). Suppose -z*u + 17 = 5. Suppose 0 = u*m - 3*l - 92, -5*l + 80 + 12 = 2*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/266)\/(3766\/(-71554)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 9*b**2 + 131*b - 376. What is p(-17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5565?\nAnswer: 3, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6604)\/(-104) - 64)*2\/(-26)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -206 - -208. Let f(u) = 3*u**3 - 987*u - 2 - h*u**3 + 1 + 986*u. Let p(k) = k**3 - 4*k - 5. What is 4*f(m) - p(m)?\nAnswer: 3*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the first derivative of -c**2 - 22*c + 5. Let o be g(-9). Let p be 0\/8*(-1)\/o. What is the second biggest value in p, 0.2, -2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4975992 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -78 (base 10) to base 2\nAnswer: -1001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -196 + 51 = 5*s. Let z = -9 - s. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20.1439852 rounded to 2 decimal places?\nAnswer: 20.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(2057) + 2 + 2 + (sqrt(17) + (sqrt(17) - (-2 + sqrt(1377) + sqrt(1377)) - sqrt(17)) - (sqrt(17) + -3 + 0)))**2.\nAnswer: -140*sqrt(17) + 933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zww. Give prob of sequence wzw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**2 - r - 2*r**2 + r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12 + 18. Suppose 198 = r*w - 3*w. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -140*s**4 - 1 - s**2 + 309*s**4 - 152*s**4 + s to o*s**4 + c*s + b + n*s**3 + x*s**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 102508 + 0.8009372\nAnswer: 102508.8009372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(-3) + (-40)\/15. Which is the smallest value?  (a) 5  (b) d  (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/2*((-20)\/16 - -1). Sort 0.5, -1\/4, -4\/3, d in ascending order.\nAnswer: -4\/3, -1\/4, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4623?\nAnswer: 3, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + y = -4*l - 30, -30 = 3*l + 3*y. Let b(g) = g + 5. Let h be b(l). Solve h = 6*w - 2*w + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.04  (b) -5  (c) 5  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l = -5*b + 5368 - 5396, 28 = -5*l - 2*b for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the third derivative of 97*r**5\/60 + r**4\/24 - r**3\/3 + 2*r**2 + 3*r + 489. Let c(a) = a. Calculate c(b(k)).\nAnswer: 97*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 31481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-6)\/(-15))\/(1\/(-5))*403\/62. Put 447, -1, o, 1 in increasing order.\nAnswer: o, -1, 1, 447","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 6 = -6, 0 = 4*h + 2*j - 14. Put -5, h, -4 in ascending order.\nAnswer: -5, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -2*l - 6. Let n be m(-4). Suppose a - 7 = -n. Suppose -53 = -2*o - a*q - 18, 2*o - 42 = 2*q. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*b**3 - 2*b**3 + 2*b**3 + (b**2 + 2*b**2 - 2*b**2)*(-b + 2*b + 0*b) + 2*b**3 + 0*b + 0*b + 8*b - 8*b - 15*b**3.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 2, a: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 184 divide 240121383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19467 - -20345. Calculate the remainder when v is divided by 122.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20)\/56 - 15\/70?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i. Let k(u) = u**2 - 4*u - 1. Suppose 4*z = 5*r + 3*z - 33, -18 = -r + 4*z. Let g(j) = r*n(j) - k(j). Give g(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the first derivative of -2\/3*i**3 + 0*i**2 - 2 + 4*i. Differentiate q(b) with respect to b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**2 + 7*c - 4. Let w be x(5). Suppose w*t = 12 + 6. Suppose -y + 4 = g - 6, -t*y + 44 = 4*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 439256 and 439256 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x + x - 3*x)*(2 + 1 + 2*x**2 - 6 + x**4) + 5*x**5 - 5 + 5.\nAnswer: 3*x**5 - 4*x**3 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*m + 43*m + 1030960 = 0. Suppose 8793 = -5*r + m. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3.835321 litres?\nAnswer: 3835.321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -43*q**2 + q + 7. Let v be f(0). Let m(i) = -5*i + 9. Let p(l) = 4*l - 8. Give v*p(t) + 6*m(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.0852 and -5.38.\nAnswer: 5.838376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1793109751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 2*a**3 - 12*a**2 - 3*a + 20. Let t be y(6). Let g(q) be the first derivative of -1\/2*q**t - 2*q - 3. What is the first derivative of g(r) wrt r?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -3*w + 5*y + 2, 0 = -3*y - 15. Let x(d) = -d - 9. Let u be x(w). Let o = u + 7. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/((-14)\/(-9))*(-2)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*m**3 - m**3 + 0 - 1)*(-3 - 4 + 4) - 219971*m + 1020*m**3 + 219971*m to the form w*m**2 + a*m**3 + i + b*m and give a.\nAnswer: 1023","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -48932 (base 11) in base 7?\nAnswer: -412030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -4 + j + 5*j**2 - j**3 - 5*j + 5*j + 0. Let k be z(4). Let r = -9 + k. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**3\/m)\/m**5*(m*m\/m**(-1\/3)*m)**(-4\/7) assuming m is positive.\nAnswer: m**(-103\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/(-5))\/((-5922)\/164970).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 14507 divided by 2\nAnswer: 14507\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70 - 122 = -96*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = -2*l. Suppose 5*d + 87 - 2 = l. Which is the nearest to 1\/2?  (a) -2\/11  (b) d  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9 + -6. Suppose -39 = 2*o - f*o. Suppose -3*r + 8316 = 105*r. Calculate the remainder when r is divided by o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 21109834?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r - 41540 = 41417. Let i = 30502 + r. Is i 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) 0.0208  (b) -45\/12863  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**3 + s**2 + 9*s - 5. Let i be l(3). What is the second derivative of 36*c + 4*c**2 + 4*c**i + 23*c + 2*c + 3*c**4 wrt c?\nAnswer: 84*c**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.4 - -0.6. Let p be (175\/10)\/(-35)*(-1)\/2. Which is the nearest to q?  (a) p  (b) -1  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 4 = -2. Suppose -2*a + 4*t + 10 = 0, 0*a + 2*a + 4*t - 2 = 0. Let n be a\/9 + 59\/w. Calculate the greatest common factor of n and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6\/(-2)*(-4)\/6. Suppose 10 = -n*x + 32. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -122102 - 0?\nAnswer: -122102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 43920, 6, 2, 0 in increasing order.\nAnswer: 0, 2, 6, 43920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -37*q**2. Let g(t) = -t**2 + 12*t - 25. Let x be g(9). Let i(f) = x*f - 105 + 56 + 49. Give p(i(w)).\nAnswer: -148*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*x**5\/7 - 1090*x**4\/7 - 19038*x**3\/7 - 34814*x**2\/7 - 16864*x\/7 = 0. What is x?\nAnswer: -527, -16, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 680.\nAnswer: -1\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-102)\/(-66))\/((-4)\/(-8) + 0) - 2\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 90 - 167. Let n = -77.14 - c. Let s = n + 0.14176. What is s rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l + 2*l**2 + 2*l)*(4*l**2 + 85*l**2 - 72*l - 74*l**2).\nAnswer: 30*l**4 - 144*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2527.357 - 4.643. Let c = -2342.3 - z. Let r = -182 + c. What is r rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i - 1. Let v(a) = -3*a - 23. Determine v(h) + y(h).\nAnswer: -2*h - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 189742490 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 68 + -48. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve p + 40 = -5*w - 36 + 12, -23*p - 14*w + 8*w - 164 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = -4*p - 8, 2*b + 3 - 4 = -p. Sort b, 1, 5 in increasing order.\nAnswer: 1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 179*i + 636 = 149*i + 486 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 45*h**4 + 2 - 24*h**4 - 2*h**3 + 3*h - 2*h**2 - 20*h**4 in the form l*h**2 + s*h**3 + r*h**4 + d*h + z and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 3*t - 1351, 684*t + 2300 = 689*t + 3*h. List the prime factors of t.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*w + 34 - 89 = 0. Solve 2*n - v = -3, 2*v = -w*n - 14 - 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2 + 4 - 96\/44. Let l = -43.83 - -13.83. What is the closest to -1 in l, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 16 and 0.0174?\nAnswer: 15.9826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -431*b - 33615. What is k(-78)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the second derivative of o**5\/20 - 5*o**4\/12 + 3*o**2 - o. Let w be 4 - (6 + 0 - 7). What is the units digit of b(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -7 and -93861369.\nAnswer: 657029583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5\/147 + 137\/294. Let m(h) = h**2 + 4*h + 4. Let i be m(-3). Which is the nearest to -0.3?  (a) i  (b) 5  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 5 = 17. Let n = 1 - -1. Let w(a) = -a + 7*a - 9*a - a**3 - 7 - 7*a**n - 3*a. Give w(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-252)\/(-48))\/((-15)\/(-12) + -1). Solve 100 = u*f - f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.417 + -0.183. Put 2\/5, -1\/4, -1, w in decreasing order.\nAnswer: 2\/5, -1\/4, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5278.829 to the nearest 10.\nAnswer: -5280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -16 in 4000, 0, 0.1, 13\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 21 + (-2 - -19) + (116 - 186)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000887881567 to 6 decimal places.\nAnswer: -0.000888","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41187 (base 11) to base 15.\nAnswer: 12c26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - 0. Suppose 0 = 2*q + c*q - 40. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes after 7:35 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -357*v**4 - 12879*v**2 - 29295288?\nAnswer: -1428*v**3 - 25758*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -83*k + 41*k + 38*k + (2*k + 2 - 2)*(0 - 1 + 0) - 5*k - 2*k + 5*k as x + l*k and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14259, 14258, 14257, 14256, 14255?\nAnswer: 14254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*y, -2*j - j + y = -19. Let k = 17 - 12. Suppose 44 = k*w - j. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 474 + -474. Solve m = q - 6 + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -3561, -3589, -3649, -3753, -3913, -4141, -4449?\n\"Answer: -2*y**3 - 4*y**2 - 2*y - 3553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*s**3*y**2 + 9*s**3*y + 777*s**3 - 6599*s**2*y**2 wrt y?\nAnswer: -4*s**3 - 13198*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13668\/5 + -983791\/360. Let z = m + -5\/8. Factor -4\/9*v**3 - 2\/9*v**2 + 0 + 0*v - z*v**4.\nAnswer: -2*v**2*(v + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1525418903.\nAnswer: 23, 83, 881, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -59717*b**3 - b**2 - b. Let s be c(-1). Suppose 4*r - 35847 = -3*n + r, 2*r + s = 5*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -r - 9, 0 = -4*r - l + 4 + 4. Suppose r*w - 12 = -0. Find the second derivative of -4*c + 6*c - w*c + 2*c**5 wrt c.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 239 a factor of 2474934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81*f + 17870 - 55778 = 0. What is the greatest common factor of 972 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 217.482kg in tonnes?\nAnswer: 0.217482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + v = -0*f + 17, -f + 8 = 4*v. Suppose 889 = 3*t + f*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.231 - 87.231. Let h = o + 83. Which is the third smallest value?  (a) 0.1  (b) 3\/7  (c) -1\/3  (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*d - 11*d + 5*w = -16, 4*w + 15 = d. Let z(l) = 14*l**2 - 23*l**2 + d*l**2. Let o(u) = -25*u - 19*u**2 + 25*u. What is z(o(x))?\nAnswer: 722*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Total of 57 and 54042.5.\nAnswer: 54099.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -13853 greater than 13064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*w = -7*w + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 324 and 922626.\nAnswer: 16607268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 0*a - 6*a**5 + 7*a - 19*a**3 + 19*a**3 wrt a?\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -3364.596848 to 0 dps.\nAnswer: -3365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + l + 1)*(-287*l**4 - 3 + 279*l**4 + 4).\nAnswer: -8*l**5 + 16*l**4 + l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -4*y**2 - 1. Let b be f(-1). Let h = 8 + b. Suppose l + 18 = h*l. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1650)\/(-33))\/(-25)*(-2)\/(-24).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (1\/3*8)\/((-404)\/(-606))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 60, 82, 108, 138?\n\"Answer: 2*h**2 + 16*h + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2379445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.602 - -1.95. Let i = m + -0.552. Sort i, 4, 51, 1 in decreasing order.\nAnswer: 51, 4, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 30*j**3*x + 96121*j**3 + 18*j*x - 3*x wrt x?\nAnswer: 30*j**3 + 18*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1527\/1144 - 3\/104. Find the common denominator of j and -38\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**3 - n**2 + 39*n + 97. Let s be y(-5). Solve -j = s*v + 11, 2*v + 19 - 3 = -2*j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8149 - -8151. Which is the biggest value?  (a) -4  (b) -3\/10  (c) -0.4  (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in fourty-five halves of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*x - 9*x - 10*x**3 + 16*x**3 wrt x?\nAnswer: 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -80299 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -157.37*2979\nAnswer: -468805.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -60*r + 60. Let n(p) = 2*p. What is a(n(x))?\nAnswer: -120*x + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/2 - (-3)\/(-42). Let q = -74 - -90.1. Let v = q + -14.1. Sort -4, v, w, -1\/4 in increasing order.\nAnswer: -4, -1\/4, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 102471514?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -51005480 divided by -5?\nAnswer: 10201096","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/3*(-45)\/(-30)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 925500171.\nAnswer: 3, 29, 47, 113, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9\/680 - -2417\/1190. What is the common denominator of r and 1\/(-14) - 549\/(-126)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, -0.5, -0.04, -33\/10, -3, 0.08?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 2*r**2 - 9*r + 6. Let l be g(6). Let m = -45 + 80. Let n be m*(3 - 9\/7). What is the highest common divisor of n and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6170910 divided by -10034\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1316328, -1316325, -1316322, -1316319, -1316316?\nAnswer: -1316313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -45 + 45.042. Let c = 171.552 + -171. Let o = g - c. Round o to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.105 - -6388374814.\nAnswer: 6388374813.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2054 + 1482. List the prime factors of x.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 3*k**2)*(-k**3 + 4*k**3 - k**3) - 208*k + 665484 + 3*k**2 - 665484 + k**5.\nAnswer: -5*k**5 + 3*k**2 - 208*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 6, b: 1, t: 3, v: 5, i: 2}. Give prob of picking 2 z and 1 v.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/4)\/(-18 + 37\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 a when two letters picked without replacement from jjajjjajja.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s + s = -d, -4*d = -8*s + 3*s + 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 885011 divided by -527?\nAnswer: -885011\/527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*y - 9*y - 81*y = 24*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, 0.2, 14 in ascending order.\nAnswer: -0.5, 0.2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) -2\/9  (c) 0.08  (d) -88.2  (e) 1.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -33*i + 0*i + 1 - 1 to h + s*i and give s.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x - 1. Let h(n) = 2*n**2 + 3. Let m(i) = i + 1. Let f be (-6)\/(-15) - 7\/5. Let s be m(f). Suppose -4*g = -s*g - 4. What is g*h(k) + 2*d(k)?\nAnswer: 2*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -13976 divided by -373\nAnswer: 13976\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g + 5. Let i be y(-6). Let m be (6\/(-9)*3)\/i. Solve 0 = b + m + 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (-7 + 4 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1235146992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/((-44)\/(-165))*(-2520)\/(-525)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06687594 rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(13) + 1 + -1 + (-1 + sqrt(13))*1)**2*3 + 5).\nAnswer: -48*sqrt(13) + 656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 77 = -2*m, -m - q + 7 = -39. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2044, -4128, -6256, -8446, -10716, -13084, -15568, -18186?\nAnswer: -20956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the second derivative of -1967*b**6\/10 - b**4\/12 + 2715*b**2\/2 + 2952*b. Find the third derivative of l(g) wrt g.\nAnswer: -141624*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**3 - 5*q**2 - 2*q - 4. Suppose u = -2*b - 3*u - 22, 4*u = -b - 17. Give g(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 4, e: 3, x: 2, q: 2}. Give prob of sequence xj.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4.093 + 0.093. Let d = 0.025 + 9.975. Let i = d + -15. What is the third smallest value in i, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) 7\/48  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t*t\/(t*t**(-8\/3))*t*t\/t**9)\/(t*t**(-10)*t**17) assuming t is positive.\nAnswer: t**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -333*s - 4216. Give c(-14).\nAnswer: 446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 3 = -9, -5*y = -4*j - 164. Find the common denominator of -151*(-2)\/j - -4 and -187\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1500 - 1495. Let h be ((-20)\/25)\/(4\/(-10)). Which is the nearest to 7?  (a) 0.3  (b) f  (c) 1  (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -2 - p + 2 - 7. Let t = -19 - -11. Let b be d(t). Solve -b = -h - 3*n, 2*n - 3*n = -h - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21725, 1, -0.1, 3.89.\nAnswer: -21725, -0.1, 1, 3.89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 157060038 divided by -6?\nAnswer: -26176673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -158*q. Let a(o) = 21092*o. Give c(a(w)).\nAnswer: -3332536*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*k = -59*k + 34 + 834 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 20 = 3*b, 2*b - 5*b + 17 = -z. Let u be (-4)\/(8\/b) + (-5)\/5. Sort u, -2, -5, 5 in decreasing order.\nAnswer: 5, -2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 33434 and 14?\nAnswer: 234038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 15505 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 54101 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 286747165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:40 PM and 5:46 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 50310*s**5 - 5631*s**3 + 223*s**2 - 721816*s wrt s?\nAnswer: 3018600*s**2 - 33786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 687201.\nAnswer: 3, 37, 41, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**2 - q + 1. Suppose 6*a - 4*a + 2 = 0. Let u(r) = -r**3 + r**2 + r. Give a*g(w) - u(w).\nAnswer: w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-11 - (-224)\/20) + (-88)\/(-10). Which is the nearest to 1\/4?  (a) n  (b) 0.2  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000581231 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23688.\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105*d = -110*d + 175. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 7*z. Let w(f) = f + 4. Let d be w(-2). Let q(u) = 2*u**d - 21 + 0*u**2 + 21. Give r(q(j)).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 40 = -32. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(252) + sqrt(252) - sqrt(252)) + sqrt(21)\/(sqrt(3)*-6).\nAnswer: 71*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 260541*j**3*p**2 + j**3*p - 65*j**3 - 3*j*p**2 - 19*p**2 + 75130*p wrt p.\nAnswer: 521082*j**3 - 6*j - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(190) + 4*-1*sqrt(190))*-1)\/(2*3*(sqrt(160) + sqrt(10))))**2.\nAnswer: 19\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 122205?\nAnswer: 3, 5, 8147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -74 + 78. Let f = 0.01 + -0.61. Let y = -256 - -257. Which is the nearest to y?  (a) f  (b) 1\/3  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 4 = -0*r. What is the third derivative of -r*m**2 - 2*m**2 - 119*m**5 + 133*m**5 wrt m?\nAnswer: 840*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 163*q**4\/4 + 2773*q**3\/4 - 6503*q**2\/2 + 3383*q + 42 = 0.\nAnswer: -21, -2\/163, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -387162 > -0.152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4473 is divided by 55.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 519590455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000061613 rounded to seven dps?\nAnswer: -0.0000616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -5  (b) 0  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 77 - 70. Suppose 0 = i*t + 2169 + 323. Let k = -243 - t. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s - 4*x - 47, 0 = 4*s - 0*s - 3*x + 264. Find the common denominator of 1\/(-10)*s\/(-7) and ((-3)\/4)\/((-3)\/98).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.073937 - 312.\nAnswer: -312.073937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t - 8*t + 4*t)*(0 + 0 - 1)*(1 - 5 + 2)*(-33 + 7 - 49).\nAnswer: 450*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.38 - 0.08. Let p = 15 + -14. Let w = -0.63 - -0.33. What is the nearest to p in i, -5, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, -3, -5752, -2, -13 in descending order.\nAnswer: -2, -3, -13, -16, -5752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*(-24 + 1 - -16)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, m: 2, k: 1, s: 1}. What is prob of sequence snk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 127266221 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 6 + 4. Suppose -p = -5*c + 20, -7 = -t*p - 4*c + 9. Differentiate -20 + 16 - 2*a**2 + p*a**2 with respect to a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 630796688 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 - 3. Let o = -98 + 684\/7. What is the nearest to o in -0.2, g, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1382.8 - 1384.8. Let d be 1 - (29\/13 - 1). Which is the second biggest value?  (a) k  (b) -1\/4  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 84090058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2*(7 + 51\/(-6)). Let i(k) be the first derivative of 3\/4*k**2 + 0*k + 7 - 1\/2*k**s. Solve i(z) = 0 for z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -10\/5657?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -63371, -63414, -63483, -63578?\nAnswer: -63699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**4 + 891380*j**3 - 132407957088*j**2 + 6552426151800576*j + 406759610069047296.\nAnswer: -2*(j - 148584)**3*(j + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 102892*o**2 - 51432*o**2 - 51434*o**2.\nAnswer: 26*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 131 divide 1048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -219*n**5 + 2363*n**2 - 29*n - 1381 wrt n.\nAnswer: -4380*n**3 + 4726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 2 i, and 1 b when four letters picked without replacement from {b: 3, q: 2, i: 10, a: 4}?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 0*s - 2 = 3*z, -2*s + 3*z + 14 = 0. Suppose -3*b - 16 + s = 0. What is the second smallest value in 2\/23, -1\/5, b, 13?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.058, -74, -6?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -6*f - 2. Let b be (-584)\/(-365) - 2\/(-5). Let c(o) = 78*o + 27. What is b*c(a) + 27*r(a)?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -282*n*r**3 + 55*n*r**2 - 2*n wrt r.\nAnswer: -1692*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 3*c**2. Suppose 2*p + 7 = 33. Let a(z) = 21*z**2 - 9*z**2 - p*z**2. Give r(a(g)).\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 982266?\nAnswer: 2, 3, 31, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 323 and 8436?\nAnswer: 143412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes after 12:50 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/150 and 157\/2679150.\nAnswer: 2679150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51289 is divided by 309.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 414281 less than -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 12*a**3 - 10*a**2 + 6*a. Let c(g) = 13*g**3 - 10*g**2 + 7*g. Suppose -3*x = x + 20. Let d(t) = x*l(t) + 4*c(t). Let d(h) = 0. Calculate h.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 4*p + 384 - 391, 3*p - 34 = 2*q. Let o(c) = -c**3 + 4*c**2 + 2*c - 1. Let i be o(4). Solve f = -p + i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 9258, 0.4, -2, -0.5 in increasing order.\nAnswer: -2, -0.5, 0.4, 9258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 51\/4 of a year?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 86337339 to the power of 1\/2, to the nearest integer?\nAnswer: 9292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 58313293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-60)\/45*4812\/(-16). Suppose m = z - 731. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7.35 - -34.95. What is a rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 126 and 27?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 6812 times 187.3?\nAnswer: 1275887.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 94.2 times -120455\nAnswer: -11346861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -239, 3, 67?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -93 + 28 + 52 - 2*y to the form b*y + g and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in fourty-seven quarters of a week?\nAnswer: 1974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1970*g**3 - 1976*g**3 - 1968*g**3 + g**2 + 5900*g**3.\nAnswer: -14*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.109 * 4\nAnswer: -0.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is w in w**5\/9 - 2*w**4\/9 - 2*w**3\/9 + 4*w**2\/9 + w\/9 - 2\/9 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(36)\/sqrt(2) - (sqrt(2178) - sqrt(2178)*-2))\/((sqrt(36) - sqrt(36)*1)\/sqrt(4) + 1*sqrt(900)).\nAnswer: -17*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**2. Let u(t) be the second derivative of 5*t**4\/12 + t**3\/3 + t**2 + 15*t - 84. What is -u(x) + 4*y(x)?\nAnswer: -x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 138 = -4*r - 78. Let p be 1\/6 - (-8217)\/r. Let y = -67 - p. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 10}. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (13 - 27) + 8 - (-8 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h\/h**(6\/13)))\/(h*h*h\/(h*h*h**(-1))))**(1\/28)\/(h**(-7)*h*h**6)**(1\/16) assuming h is positive.\nAnswer: h**(-5\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**2 - 38*i + 208. Let g be y(6). Which is the third biggest value?  (a) 1\/7  (b) -2\/9  (c) g  (d) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 31*k - 26*k + l, 0 = 4*k - l + 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 483238.76 rounded to the nearest ten thousand?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 696*q - 4412*q - 2146*q - 3150*q in the form s*q + y and give s.\nAnswer: -9012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 4223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the first derivative of 7*l**6\/15 - l**4\/8 + 39*l**2\/2 + l - 9. Let y(q) be the second derivative of d(q). Find the second derivative of y(s) wrt s.\nAnswer: 336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -2*f + 6. Let h be x(4). Let l be (h + 11)\/((-6)\/(-4)). Suppose 0 + 6 = 3*a. Solve l = a*z - 5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -124*q + 3. Let l(r) = -4*r - 1. Calculate l(z) + m(z).\nAnswer: -128*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -12*x - 45. Let j(l) = 2*l + 9. What is -11*j(m) - 2*n(m)?\nAnswer: 2*m - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 21420 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 q, 1 y, and 1 m when four letters picked without replacement from diiiyyoidimoqiy?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -7*w**4 - 6*w**2 - 17*w + 6. Let r(n) = n**2 - 1. Let f(q) = a(q) + 6*r(q). Find the second derivative of f(p) wrt p.\nAnswer: -84*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 4*n = 456, -4*o = 3*n - 0*n - 633. Suppose u = k - o, 3*u - 10 = u. Let d = -52 + k. What is d rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14441742 + 14441742 + 7*n.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 3\/(-18)*-4*1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**2 + 8*i + 9. Let u be y(9). Let l = -5 + u. Is 2 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 86496440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 659719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*i\/(i\/i**1)*i**10)**(-11)*((i\/((i**(1\/18)*i)\/i))\/i**4)**(-13\/4) assuming i is positive.\nAnswer: i**(-9581\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 146954916 to the nearest integer?\nAnswer: 12122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z = 4*s - 16824 + 16994, 2*s + 142 = 4*z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -972, -3827, -8576, -15213, -23732, -34127, -46392?\n\"Answer: w**3 - 953*w**2 - 3*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00195536 rounded to six dps?\nAnswer: 0.001955","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2258, -3, -1, 0, -5 in descending order.\nAnswer: 0, -1, -3, -5, -2258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20.07 - -0.4.\nAnswer: 20.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 205 or -0.1?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lyqlony. Give prob of sequence noy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -5*q + 25. Suppose 10*i = q*i + 98. What is the highest common divisor of i and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -36bb2 (base 15) to base 12.\nAnswer: -8517b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*g**2*o**2 + 5731800*g*o**2 + 4*g*o + 147680833*o**2 wrt g.\nAnswer: 6*g*o**2 + 5731800*o**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the third derivative of -q**7\/9240 + q**6\/1980 + q**5\/1320 - q**4\/132 + 13*q**3\/6 + 18*q**2. Let v(y) be the first derivative of w(y). Factor v(z).\nAnswer: -(z - 2)*(z - 1)*(z + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**2 + 5*l - 5. Let x = 322 - 321. Let f(w) = 29*w - 21. Let s be f(x). Calculate d(s).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -3, -0.2, -0.5, 32?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(119)*1 - sqrt(119)*2*-3)\/(sqrt(7) - (sqrt(7) - sqrt(35)\/sqrt(5))*-1 - sqrt(56)\/(sqrt(8)*2)).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -18 + -2. Is -21 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -876991 and -0.10461.\nAnswer: -876991.10461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8\/77 + -709\/154. Let p = 11 - 9. Suppose 3*y - p*y = -4. Which is smaller: y or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g = 14*g - 1242. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 774268 a multiple of 442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 78 divided by 39?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1490\/40 + (-100)\/16.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -2*p + 1. Let u(v) = 2*v**3 - 5*v**2 + 5*v - 4. Let j be u(p). Let y = -10 + j. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nrn when three letters picked without replacement from lnrnnlrlll?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -0*g. Suppose -l + u + 56 = g, u = 5*l - 5 - 271. Suppose -2*x = 3*x + 5*i - l, 6 = -2*i. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 + 120*i - 1879. Give v(101).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2*(2 - -1 - (-8 + 12)). Suppose v*u - 2 + 0 = 0, -4*q + 3*u - 35 = 0. Let f = 2 + 0. Which is the third biggest value?  (a) f  (b) 1\/6  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 168 and 51936?\nAnswer: 363552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5930376 litres to millilitres.\nAnswer: 593.0376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/(4\/4 + 0). Suppose -3*v - 3*z = -4*z - 29, 6 = -r*z. Let u(h) = -h**2 + 95 + 0*h**2 + 51 - 154 + 11*h. Calculate u(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3*1190159\/3*(-6 - -5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16\/28 + -4 + (-342)\/(-112)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 + -4. Calculate the common denominator of (-1510)\/12*d\/15 and 32\/21120*-2515 - -5.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 2*n - 1999836 - 6660166 = 0, -3*n = -4*r + 34639997. What is r rounded to the nearest 100000?\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**3 - 3*r**2 - 5. What is m(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 72\/7?  (a) 3  (b) -5  (c) -0.2  (d) -0.4  (e) 1\/11537\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 25 - 23. Let t(j) = 2 + 46*j**2 - 2 - 44*j**l. Let z(y) be the third derivative of 2*y**5\/15 - y**2. Calculate z(t(w)).\nAnswer: 32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 577 - -1087. Let n = v + -675. List the prime factors of n.\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55 - 57 - (5 + -20)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 1  (b) 0.21  (c) 256.8  (d) 2  (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1018074 smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 * 0.6035.\nAnswer: -0.06035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11 and 499.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 5 = 3*r - 5*r, -q = r - 5. What is the greatest common divisor of 20 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 4237187 = -5*m, -15*x + 3*m = -16*x + 1059302. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40947 is divided by 13646.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 125\/18 and ((-98)\/(-16))\/(40\/32).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**3 + i**2 - i - 1. Let m be -1 + 6*(-2)\/(-6). Let b(j) = j**2 + j - 1. Let q(z) = m*b(z) - k(z). Find the second derivative of q(o) wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 468622 and 714.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 174480 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 4*y + 11. Let j be s(-2). Let k be 3\/1*(-4)\/(-6). Suppose 2*c = k*g + 178, j*c - 2*c - 5*g - 81 = 0. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 2*l**3 - 8*l**2 + 2*l + 12 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -313*d*i**2 + 11*d*i - 84478132*d - 467*i**2 wrt i.\nAnswer: -626*d*i + 11*d - 934*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(2448)*-3*-3 + sqrt(2448)) - (sqrt(68) - (1*sqrt(68) + sqrt(68))*-6)\/(sqrt(4) + (sqrt(48)\/sqrt(3))\/sqrt(4)))**2.\nAnswer: 3707513\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccccglggccgcclcc. Give prob of sequence llcc.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 34*m + 1. Let p(w) = 35*w + 1. What is 4*f(c) - 5*p(c)?\nAnswer: -39*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 2*z**2 + 382*z. Let u(y) = -y**3 + 5*y**2 + 763*y. Give -5*f(w) + 2*u(w).\nAnswer: -2*w**3 - 384*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 23*o**4 - 528160*o**3 - 18098976?\nAnswer: 92*o**3 - 1584480*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 2*q - 4, 2*q + 4*r - 19 = -3. Suppose 0 = q*f - 4*p + 2*p, 4*p + 5 = 3*f. Suppose 1 + 5 = -3*c. Which is bigger: c or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 36482.1014 to the nearest 1000.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**3 + 6*d**2 + 1. Suppose -4*z = -5*q - 20 - 18, 0 = 4*q + 5*z + 14. What is the units digit of m(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -426, -427, -428?\n\"Answer: -s - 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 4*w - 3. Let j(y) = 2*y - 1. Let k = 66 - 28. Suppose 4*o = -0*o + 5*q + 43, -k = -5*o + q. Let f be (-23)\/o - (-8)\/28. What is f*c(r) + 7*j(r)?\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 - 22. Let i be j(-6). Let d(a) = -7*a + 112. Let z be d(i). What is the highest common factor of 112 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = s - 5. Suppose -19 = 1760*d - 1762*d + 5*k, -5*k = -3*d + 41. Put s, d, 4 in decreasing order.\nAnswer: d, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**2\/7 + 1146*a + 2298303.\nAnswer: (a + 4011)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -79 - -128. What is the least common multiple of 11 and r?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 2, r: 2, x: 1, m: 2, t: 2, z: 10}. Give prob of sequence ztm.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 31275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 4*p**2 + 5*p - 23. Let g be k(-6). Let i = g + -86. Suppose -4*h - 4 + 8 = 0, -5*h + i = 3*b. Solve -5*l - 20 = b, 2*x - 5*x + 5*l = -23 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 11765  (b) 0.09  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n - 5*b + 10, 3*n + 10 = 2*n + 3*b. Let g = 5 - n. Factor g*a**2 - 4*a**3 - 2*a**2 + 3*a**3.\nAnswer: -a**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -17 - -16.3. Let b = 0.3 - a. Let m = -2.04 + 0.04. What is the nearest to -1 in b, -0.5, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 682026?\nAnswer: 2, 3, 71, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 181 divided by -1456305.\nAnswer: -181\/1456305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28516 is divided by 4746?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*n - 13*n = -441. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.3  (b) -1  (c) -3  (d) -416  (e) 3  (f) -292\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 76260  (b) 2\/5  (c) -4\/3  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*d + 89*d - 224 = 138*d for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b\/b**(-2)*b)**(-2\/31)\/(((b\/(b\/b**(41\/3)*b))\/b)\/((b*b**31*b*b)\/b)))**18 assuming b is positive.\nAnswer: b**(11724\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4514 and 5337.\nAnswer: 24091218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*w**3 - 1293*w**2 - 1394*w - 1?\nAnswer: -18*w - 2586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the first derivative of 3*l**3 - 9*l**2\/2 + 6*l + 49. Let w(b) = -4*b**2 + 4*b - 3. What is 3*v(u) + 7*w(u)?\nAnswer: -u**2 + u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -28.1 - -28. What is the second smallest value in 4, k, -1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3*(-6)\/4*2888\/(-228) is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15, -128, -425, -996, -1931, -3320, -5253, -7820?\nAnswer: -11111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 38 and 5280986?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i + j + 4805, -3*i = i - j + 3835. Round i to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -18 + 1\/((-2)\/(-4)). Let i = k - -22. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 20*r - 255*r - 386*r.\nAnswer: -661*r - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -17*t**2. Let r(l) = 3*l - 3*l + 2*l - l. Calculate r(w(b)).\nAnswer: -17*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/(n\/(n*n**0))))**12\/(n**5*n**(-1)))**(-35) assuming n is positive.\nAnswer: n**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (25*m - 9*m + 21*m + (-2*m + 4*m + 0*m)*(3 + 1 - 2) - 3*m - 3 + 3 + 3*m + 3 - 3 + (-2 + 6 - 2)*(m + 0*m - 2*m))*(2*m - 2*m + 3*m**2).\nAnswer: 117*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 - -1)*(-30)\/(-10). Suppose -2*t = -z*m - m - 80, t = m + 36. Suppose 6*g - 22 = t. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.41 * 1434.\nAnswer: -3455.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/56 and -21\/512.\nAnswer: 3584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -3*j - o + 43, 3*j + 78 = -3*o. Let y = 32 + j. Let v(x) = -y*x + x - 3*x + 2*x. What is v(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -14 - -871010.\nAnswer: 870996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**1*i*i\/i**(4\/9)*i*i*i**4*i**2 assuming i is positive.\nAnswer: i**(95\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -31102333113 (base 4) to base 8\nAnswer: -15227727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-84)\/(-20) + -5)*(-15)\/6. Let c = -40 + 75. Let g(h) = -120*h**2 - 35*h + 35. Let n(r) = 7*r**2 + 2*r - 2. Calculate c*n(k) + l*g(k).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9877 by 581.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 2*i**2 + 11*i + 13. What is m(-8)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 487864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 PM and 7:30 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the second derivative of -20 - 3*q**2 - 1\/2*q**3 - 2*q. Give c(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 54039, 108078, 162113, 216144, 270171?\n\"Answer: -2*v**2 + 54045*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2024041?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -44 - -46. Let -1944*p - 70*p**2 - 82*p**2 - z*p**3 - 6502 + 44*p**2 - 5162 = 0. What is p?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the first derivative of 3*f + f**3 + 5\/2*f**2 - 1\/4*f**4 + 4. Let p be -3 - -2 - (0 - 5). Give z(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1968 - 1968 - 1983*j + (4 + 0 - 3)*(4*j - 4*j - j) in the form z*j + c and give z.\nAnswer: -1984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 - 9. Let z = 28 - f. What are the prime factors of z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 8 - 6*w - 11 + 4*w. Let k be m(-4). What are the prime factors of k - (2\/1 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34989239 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -7*t**3 - 7*t**2 + 14. Let a(n) = 8*n**3 + 8*n**2 - 15. Give 5*a(w) + 6*u(w).\nAnswer: -2*w**3 - 2*w**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 6 - -266597\nAnswer: 266603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 553002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p + 4 - 4 - p + 2*p - 2*p + (3 + 4 - 5)*(-3*p + 3*p + 2*p))*(2*p - p - 10*p + (-p - 3*p + 3*p)*(-5 - 19 - 5)).\nAnswer: 100*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -3*y**2 - 2022*y + 2019. What is v(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.8?  (a) 0.23  (b) 0.2  (c) -22  (d) -67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 586972 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: Let p be (((-27)\/6)\/9)\/(-3). Which is the closest to p?  (a) -0.5  (b) -1  (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 83262 is divided by 5437?\nAnswer: 1707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*r**3 + 3*r**3 + r**3)*(-30*r - 7*r + 53*r**2 - 20*r**2).\nAnswer: -33*r**5 + 37*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes before 7:55 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1757*w - 1754*w + 2*t - 26 = -3, -t = 2*w - 14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 38*s + 103. Let a be r(-12). Let d = 350 + a. Let v(n) = -n - 5. Let u(g) = g + 6. Calculate d*v(h) - 4*u(h).\nAnswer: -h - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*s + s - 3*s)*(4 - 5 + 3 + (1 - 2 + 0)*(1 - 1 + 1) + 0 - 3 + 1).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -857944 by 342.\nAnswer: -428972\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4\/(-6))\/((-12)\/54). Suppose l*b - 2*b = 2. Suppose b*q - 2 - 2 = 0. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 + -7.8. Let b = y + -1.2. What is the smallest value in b, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 189836 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 20*t - 1779 = -22*t, -v + 3*t = -1764. Is 133 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 3, 6 in descending order.\nAnswer: 6, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sum 79.839 and 162.\nAnswer: 241.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 7, s: 1}. What is prob of sequence sq?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 - -2524621.73.\nAnswer: 2524625.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-24)\/20)\/((288\/80)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 86485303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 - -10056211?\nAnswer: 10056211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -13a + 0?\nAnswer: -13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 133714539 + -133714539.62500333. Let m = a + 0.625. Round m to seven decimal places.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = 4*h - u, 2*u - u - 11 = -h. Solve -h*n = 23*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 2*t + 276. What is the least common multiple of 8 and j(-78)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p**3 + 5*p**2 - 3*p - 2. Let u be t(4). Let j be 324\/60 + 2\/(-5). Solve -j*x + u*x = -6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(-9) - 98\/1260. Let s = 888.9 + -889. What is the closest to s in u, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(196) + sqrt(196)*5)\/(-3*(sqrt(7) + sqrt(7) + -2*sqrt(7)) + sqrt(7))*-3.\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 95, 84, 65, 38, 3, -40?\n\"Answer: -4*d**2 + d + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -244283*a**3*p**3 - 2*a**3 - 151*a**2 - 9 wrt p?\nAnswer: -732849*a**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 190.60173s to minutes.\nAnswer: 3.1766955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -802284 and 0.001.\nAnswer: -802.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -21.5 and 0.0897206.\nAnswer: -1.9289929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7.3771, -1, 9, 13\/5 in ascending order.\nAnswer: -1, 13\/5, 7.3771, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -23*i - 2. Let h(z) = 9490677*z. Calculate y(h(j)).\nAnswer: -218285571*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -80*r. Let j(d) = -32*d - 39*d - 33*d + 136*d - 35*d. What is j(i(w))?\nAnswer: 240*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1071252*i**2 - 2*i + 7667643?\nAnswer: 2142504*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3809?\nAnswer: 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 - (-4 - 0)) + -1. Suppose 0 = -a + o, w + 14 = -2*a. Let i = w - -12. Let v(p) = -p - 5. Determine v(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1.3585 from -50.362829689.\nAnswer: -49.004329689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 + 11*v**2 + 3*v - 69. Determine w(10).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 93.94095 milligrams in grams?\nAnswer: 0.09394095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 13*i**3 + 3*i - 2. Suppose n + w = 22, w + 12 = 4*n - 86. Calculate the remainder when n is divided by o(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 2*b**3 - 21*b**2 - 136*b + 14. What is k(15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 930\/93*(-2)\/(-5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*m**5 + 28*m - 5*m**5 + 8 + 22*m - 47*m wrt m?\nAnswer: -140*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, e: 1, u: 5, y: 1, s: 3}. Give prob of picking 2 u and 1 s.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 171 and 93357?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80*y - 2926 = -1086. Calculate the highest common divisor of 2783 and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -545159.1813 from 1.1.\nAnswer: 545160.2813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*c + 123 = 2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 590829555?\nAnswer: 3, 5, 39388637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 708688*x - 9212942. Give v(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*j + 25 = -17*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**2 - 6*d - 4. Suppose 3*k = 3*g + 9, 4*g + 2*k + 18 = 3*k. Let b be c(g). Suppose 47*h - 51*h + 20 = 0. Solve t = -2*t - i + 7, b = h*t - i for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1370, -1371, -1374, -1379?\nAnswer: -1386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w + 12 = -4*p, -24 + 16 = 3*p - 2*w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -89 - -74. Let a be (1 - (-33)\/z)*-90. Suppose -x = -5*l - 115, 3*x - a = -2*l + 203. Is x a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.025725023 rounded to four decimal places?\nAnswer: 0.0257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 46046 or 38137?\nAnswer: 38137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 389*v**4 - 14544*v**3 - 9152106*v**2.\nAnswer: 9336*v - 87264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (9394\/168 + -40 + -16)*(1 - (-22)\/(-6))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66268 is divided by 383?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 13 - 13. Suppose w = -3*l + l + 2. Let h be (2 - -1)\/(4 - l). Calculate the highest common divisor of h and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {x: 1, y: 1, c: 1, i: 2, w: 1, h: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 21113 + -9?\nAnswer: 21104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence clw when three letters picked without replacement from {c: 6, l: 2, w: 9}?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 2 - 15*l**2 + 4*l**2 + 0. Let q(z) = -5*z**2 + 1. Let u = -15 - -9. Suppose -5*j = -j + 5*s - 62, 20 = 2*j - 3*s. Give j*q(v) + u*n(v).\nAnswer: v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-2 + sqrt(19) + -5*sqrt(19) + sqrt(19) + -5)**2 + (sqrt(931)*-4 - sqrt(19)) + sqrt(19) + sqrt(152)\/sqrt(8)*3.\nAnswer: -109*sqrt(19) - 440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 794092 - -1289755. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes after 4:15 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 51049 is divided by 12670.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -165745, -331491, -497249, -663025, -828825?\nAnswer: -994655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(147)*-2)\/sqrt(3)*-3)\/(((3*sqrt(140) - sqrt(35)) + sqrt(35) + sqrt(35) - sqrt(35))\/sqrt(5)) + 5.\nAnswer: sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -2*x + 16. Let i be a(11). Let r(m) = -m**2. Let f = 0 - -1. Let v(n) = -5*n**2 + 2*n + 2. What is f*v(j) + i*r(j)?\nAnswer: j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1596 divided by 12?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lgghlqhgqghlgggjllgj. Give prob of picking 1 h, 2 g, and 1 q.\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 23 = 12. Let i(a) = 6*a**3 + 9*a**2. Let x(g) = -12*g**3 - 17*g**2. Let v(n) = l*i(n) + 4*x(n). What is the third derivative of v(c) wrt c?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/4070 and 11\/290.\nAnswer: 118030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14 + 6. Let k = 16 + h. Let m be (1\/3)\/(k\/72). Let p(i) = -2*i - 4. Calculate p(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1392 by 232.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1103 - -679. Let x be (t\/(-5))\/(34\/85). What is the greatest common divisor of 159 and x?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -843, -3, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.234312 rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 618527.4mm to meters.\nAnswer: 618.5274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 0, 11, -4, -5, 3 in descending order.\nAnswer: 12, 11, 3, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w - 25 = 2*l, -3*w = -23*l + 26*l + 24 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1665739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the first derivative of -2*b**3\/3 - 497. Let f(k) = -k**2 - 1159. Give f(s(n)).\nAnswer: -4*n**4 - 1159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1294 (base 10) in base 13?\nAnswer: -787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9360 - -9378. Which is the third biggest value?  (a) 0.2  (b) s  (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 102389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from xzggwmv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-8)*5 + (4 - 7).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**3 + 22*u**2 + 20*u - 21. Let s be l(-21). Let i be -2 - 4\/5 - (1 - 3). What is the closest to i in s, 2\/3, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the first derivative of -8*i**5\/5 - 5*i**3\/3 - 6. What is the third derivative of x(n) wrt n?\nAnswer: -192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2762331 (base 8) to base 11.\nAnswer: -4926aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 28730 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1506, 1512, 1520, 1530, 1542, 1556?\n\"Answer: x**2 + 3*x + 1502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5214 >= 5130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -4*w + 1. Let a(p) = 2*p. Determine 5*a(x) + 3*v(x).\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 1 w when three letters picked without replacement from {p: 5, w: 9, f: 2}?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/(-4 - (5 + -6)) - -3 - 1. Suppose a = -2*a + 9. Solve -2*h + 5*t + 40 = 3*h, g*t = -a*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 125042017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2960, 3679, 4398, 5117, 5836?\nAnswer: 6555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 51068652*w**3 - 7706*w**2 - 2*w + 998?\nAnswer: 306411912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add 8152738959 and -0.1.\nAnswer: 8152738958.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 7447 = 4*g, -13*s - 5*g = -14*s + 1481. Is s a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 2*f = 2*f + 4, 12 = 4*s + 4*f. Suppose -s*h + 3 = -5, 8 = 5*n - 3*h. Suppose 3*j - 483 = 4*l - 140, l = -n. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z + 48 = 19*z. What is the closest to 1\/18 in -1, z, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2327 is divided by 57?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -263*j - 11301. What is c(-35)?\nAnswer: -2096","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -118, -188, -244, -280, -290, -268?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4 and 1600?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -7*j + 25. Suppose -2*r - 4*n + 4 = -4*r, 2*n - 6 = 0. Calculate the smallest common multiple of j and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, s: 5}. Give prob of picking 1 f and 1 s.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -507949322 + -17877.\nAnswer: -507967199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 28 + -29.52. Let g = -1.52 - n. Let l = -2 + 1. Do l and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 173*g - 90872 = 166*g, 90848 = x + 3*g. What is x rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 8*q - 2)*(-5*q + 0*q + 2*q) - 3 - 2*q**2 + 3 to the form u + g*q + o*q**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*g**2 + 14*g**2 - 16*g**3 - 11*g**2 - 456 - 4*g**2 - 6*g**2 wrt g?\nAnswer: -48*g**2 - 20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:43 AM and 9:04 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(4 + (sqrt(14) + (1*sqrt(112))\/sqrt(8))\/(sqrt(128)*-5 - sqrt(128)))*5 + -5)**2.\nAnswer: -2375*sqrt(7)\/12 + 5202775\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61 = -4*b - 5. Solve -4*y = b + 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -2*t. Let j be (-1140)\/1425 - (-114)\/5. Let q(m) be the first derivative of -3\/2*m**2 - j + 0*m. Calculate c(q(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-1444)\/38988 - 1666\/216\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -161*u + 163*u + 2*m, 25*u = -m - 82 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*b**2 + 4*b**2 + b**5 + (-2*b + 2*b - 3*b)*(-1 - 3 + 5)*(-b**2 + 0*b**2 + 2*b**2)*(-4*b - 2*b + 0*b)*(-3*b + 4*b + 3*b)*(2 + 1 - 6).\nAnswer: -215*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17510 (base 9) to base 3.\nAnswer: -121120100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-156)\/18)\/13)\/(4\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 516137 is divided by 64513?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**3 - 3*k**2 + k + 3. Let w be r(-3). Suppose -6*c + c + 25 = w. Let n = c + -3. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 5*q = 4*g + 1, -5*g + 3*q + 13 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -49*r - 7802. Calculate s(-159).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3) + -4*(sqrt(3)*1)**2 - (sqrt(3) + 1)*2.\nAnswer: -14 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + z = 4, 9 = 5*j - 4*z - 9. Let f(n) = n**3 + 2*n**2 - 5. What is the least common multiple of f(j) and ((-4)\/6)\/((-3)\/27)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 459222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -l + n, -n = 4*l + 2*n - 8. Suppose l + 23 = -4*q + 4*w, -5*q - 2*w = 0. Sort q, -4, -6 in ascending order.\nAnswer: -6, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -7, -10, -11, -10, -7, -2, 5?\n\"Answer: c**2 - 6*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -695, -1860, -3503, -5606, -8151, -11120, -14495?\nAnswer: -18258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 + 10*v**2 - 12*v + 27. Let z be x(-11). Let h be (-4)\/z + (-3645)\/(-513). Let r(f) = -f**3 + 6*f**2 + 8*f - 2. Give r(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.7448 and 0.74824?\nAnswer: 0.557289152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (-3 + -44 + 0 - (122 - 125)) + 8\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (166296\/943)\/78*-23?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00006234622 rounded to 7 decimal places?\nAnswer: -0.0000623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 265\/3 + -88. What is the fourth biggest value in -2\/5, -1\/3, -1\/21, d?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1188 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3726 and 324.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -10239, -10182, -10137, -10110, -10107?\n\"Answer: -g**3 + 64*g - 10302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w - w - 248. Suppose -4*b + 0*p - 3*p = -82, -3*b + w = 2*p. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1*2\/(-8))\/(6658\/(-1890872))\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6638 is divided by 58?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 2*j**3 - 23*j**2 - 13*j + 16. Let s be h(12). Factor s*v + 2*v**2 - 3 + 7 - 6*v - 4*v.\nAnswer: 2*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/873 and ((-23)\/(-24))\/((-324)\/3024) - -1.\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11100 (base 2) to base 13.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, 0.11, 4, 75359.\nAnswer: -2\/7, 0.11, 4, 75359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 182 + -351\/2. What is the common denominator of (-4 - 76\/(-20))*(-1070)\/(-72) and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (8\/(-52))\/(-1) + (-14)\/(-78). Let w(d) = 3*d**2 + d + 1. Let x be w(-1). What is the second biggest value in c, -0.3, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/11, 4, -1\/6, 1\/51, 2\/9?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -79*u**2 - 80*u**2 + 232*u**2 - 74*u**2 - 7*u + 6. Determine v(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 1041*j**2 - 609*j + 1. What is the thousands digit of r(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 56 and 19439?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-7)\/(-15) + (-4)\/12. What is the closest to -6 in w, -3\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1580 is divided by 1461.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*q**2 + 3*q**2 + 2*q**2 + (1 + 4*q - q - 4*q)*(-2*q - 3*q - 6*q) to the form h + s*q**2 + u*q and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 146158788 is divided by 964.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4578 a factor of 1928226132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 5*n + 2*n = 3, -12 = -4*t + 5*n. Let m(h) = 0 + h**t - 8 + 8*h**2 - 2*h - 3*h**2 + 2. Calculate the remainder when 6 is divided by m(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -4191*w + 129982. What is s(31)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -4*u**4 + 456*u**3 - 1340*u**2 + 888*u = 0.\nAnswer: 0, 1, 2, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 284f8 - 2?\nAnswer: 284f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 222247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v*v**49))\/v**(-19)*(v**(20\/9))**(-18) assuming v is positive.\nAnswer: v**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.4 + 2. Let q = 0.6 + x. Let d = 59\/69 + -12\/23. What is the closest to d in q, 1, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 256 - 246. What is the nearest to 1 in -0.2, 4, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -2 + 9*b**4 - b**2 + 8*b**4 + 5*b**2 - 19*b**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c**2 - 1768*c - 1772 = 0. Calculate c.\nAnswer: -1, 443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1148593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -27669 by -2028.\nAnswer: 9223\/676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 34 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is (25\/2 - 4)\/(1\/34) 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 368 and 3472?\nAnswer: 79856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**3 - 5*d**2 - 8*d - 11. Calculate the remainder when 142 is divided by j(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 125 (base 6) in base 15?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(2\/23)*b)**(4\/3)\/(b**14\/((b*b**(-11\/6)*b)\/b*b)) assuming b is positive.\nAnswer: b**(-1709\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1371.65464 rounded to the nearest integer?\nAnswer: -1372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (204\/(-170))\/((-3)\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25069.6633 + 25068. What is j rounded to 2 dps?\nAnswer: -1.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 34, 0, -12\/13, 0.08 in decreasing order.\nAnswer: 34, 0.08, 0, -12\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -63 - 4*k**2 - 22 + 169 - 4 + 184 + 260*k.\nAnswer: -4*(k - 66)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1012 is divided by 91.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/450*5*-6\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 27*n - 44*n + 12 + 15*n. Calculate g(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -799110664*a**3 + 17560855*a**2 + 4*a wrt a?\nAnswer: -4794663984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.4 in 1, -0.046, -4, 344, 0.3, -11\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(1573) - (sqrt(1573) + 0)*6 - ((sqrt(1573) + 0)*1 + sqrt(1573))) + 4 + 4)**2.\nAnswer: -1078*sqrt(13) + 77126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1 - 0)\/39)\/((-56)\/(-144)). Which is bigger: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*g**2*w - 324999*g**2 + 2*g*w - 518609*w wrt g.\nAnswer: 6*w - 649998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 1 b when three letters picked without replacement from {l: 2, a: 2, b: 3, m: 4, n: 1}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the first derivative of 0*t**3 + 0*t**4 - 3\/2*t**2 - 12\/5*t**5 + 61*t + 98. Find the first derivative of c(h) wrt h.\nAnswer: -48*h**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -83814, -83821, -83832, -83847, -83866?\nAnswer: -83889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**2 + 13*n - 7. Let x be q(12). Suppose 3*d = -4*a + 61, -x*d + 7 + 6 = 2*a. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6 - -1)*1*-1. Let m(u) = -u**3 + 31*u**2 - u + 29. Let c be m(31). Sort -4, c, l in descending order.\nAnswer: l, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 10, 4*u + 7*y = 2*y + 18. Let m(n) be the first derivative of -3\/2*n**2 + 4 - u*n. Find the first derivative of m(h) wrt h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2 + 3)*((-t + 0*t + 3*t)*(-65*t + 12601 - 12601) - 2*t**2 + 0*t**2 + 3*t**2).\nAnswer: 258*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -23 - -120. Calculate the remainder when t is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/12 - (-9)\/4. Solve m + 2 = q*y, -m + 5*y + 0*y = 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1179*2.\nAnswer: 0.2358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1\/(-25))\/((-10)\/50). Let s = -14.3 - -18.3. Which is the closest to -3?  (a) k  (b) s  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -35412, -35414, -35418, -35424, -35432?\n\"Answer: -p**2 + p - 35412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y\/(y\/y**(-23\/3)*y)*y*y**20*(y**(1\/3)\/y)\/y*y*y\/(y\/(y*(y*y*y\/(y*((y\/y**(5\/7))\/y)\/y*y))\/y)*y)*y assuming y is positive.\nAnswer: y**(302\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u + 8. Calculate d(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 + -4*1 - -4. Suppose b = 5*v - 4, -t*b - v + 4*v = -6. Is (-6)\/(-4)*88\/b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37003073 is divided by 948796.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:48 PM and 4:10 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 588\/22 - 58492\/(-45958)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23*f + 3 - 14*f - 2)*(2152*f - 1063*f - 271*f + 1637*f).\nAnswer: 22095*f**2 + 2455*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(3\/17))\/w*w*w\/((w**(-3\/5)*w)\/w))\/(w**(-20)*(w\/(w**(-3\/16)*w)*w)\/w) assuming w is positive.\nAnswer: w**(30241\/1360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, q: 2, x: 8, u: 5}. Give prob of sequence qx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -162719 + 27336895\/168. Find the common denominator of -155\/264 and w.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c + 2. Let y be h(2). Suppose 2*j = -4*z + 8, -10 = j + y*j. What is the third derivative of 12*t**2 - 14*t**2 + z - 3 + 2*t**3 wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -53 - -58. What is the tens digit of (75\/(-9))\/x*-33?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ku when two letters picked without replacement from ujmke?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-663)\/(-442))\/((-423)\/(-12)).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 + -3a?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9071.896 years to months.\nAnswer: 108862.752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10, -53, -126, -235, -386, -585, -838?\nAnswer: -1151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/9)\/(-2) + (-1100)\/225.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) 0.2  (b) -0.1  (c) -0.3  (d) 0.06  (e) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4 or -10798\/2881?\nAnswer: -10798\/2881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.035, 38, 15?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -65\/7*v - 1\/7*v**3 + 24\/7*v**2 + 6.\nAnswer: -(v - 21)*(v - 2)*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 459 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*b + 9182 + 70660. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-361*u - 1802*u - 2854*u + 487*u - 476*u)*(-1 - 4 + 2).\nAnswer: 15018*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**3 - 6*r**2 - r + 17. Let s be g(-5). Suppose -l = 3*o + o - 4, 4*o - 4 = 2*l. Let w be 4 + 6*(-4)\/8 + 2. Put s, -1\/5, o, w in decreasing order.\nAnswer: w, o, -1\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 20048709*b**3 - 2*b**2 - b - 5760765.\nAnswer: 120292254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v - 622 + 638 = -5*r, -2*v - 2*r - 8 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*a + 643 = -701. Let p = a - 89. Let z(x) = -x**3 + 6*x**2 + 7*x + 4. What is z(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -z**5\/3 + 4802*z**4\/3 - 19198*z**3\/3 + 28792*z**2\/3 - 19193*z\/3 + 4798\/3 = 0.\nAnswer: 1, 4798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 - 0. Let g = 1.2 - 1.5. Let t = -4 - -7. What is the biggest value in j, t, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 129*q - 167*q - 532 = 0 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i**5 - 3*i**2 + 3*i**2)*(-2 + 1 + 4 - 2 + 4 - 4 + (0 + 2 + 0)*(1 - 1 + 2)).\nAnswer: -10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3\/108)\/(3\/24). Let w be ((-35)\/126)\/((-15)\/9). Sort w, 2, g.\nAnswer: w, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**3 - 6*g**2 + 5*g. Let h = -1 + 0. Let b be h - -1 - -7 - 0. Suppose -a - 2*c = -3*a + 6, b = a + c. Calculate x(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 31452 + -31444. Suppose 0 = 3*j - 187 + 19. Calculate the greatest common factor of h and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*t - 5*g - 17 = -4*t, 2*g + 10 = 0. Suppose -6*w + 44 = 14. Suppose w*x - 883 = j, -4*x = t*j - 3*j - 707. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 32 - 8. Let z(d) = -d**3 + 103*d**2 - 16*d + 1719. Calculate the remainder when z(103) is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 0 - 10*h**2 - 13*h**3 + 3 - h**3. Let a(v) = -3*v**2 + 4*v - 5. Let r be a(1). Is i(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83 = 5*u + 13. Suppose -c = l + 26 - 79, 0 = 3*l - 4*c - 173. What is the remainder when l is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 - 13*t**2 - 15*t - 16. Let h be f(14). Calculate the least common multiple of (-5)\/(15\/2)*h and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 2  (b) -0.3  (c) -52  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-5) + (-40)\/150\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -434275 or -434283?\nAnswer: -434283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/288 and 71\/224.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hi when two letters picked without replacement from iilpiihig?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 2 + 2 + (-3 + 2 + 0)*(-1 + 3 - 4) - 3 - 1 + 5)*(-2 + 10 - 2)*(1 - 2 - 3)*(0*j + 4*j - j) to the form r + p*j and give p.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - h + 63 = 0, 5*b = 295226*h - 295240*h + 68 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:21 PM and 3:29 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 18 and 209601.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000191094 rounded to 6 decimal places?\nAnswer: -0.000191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4906303*a*j**2 + 2*j**2 + 42367*j - 10 with respect to a.\nAnswer: 4906303*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19905 is divided by 3312?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 1867*j - 15. Let x(q) = 469*q - 4. Give -6*l(w) + 22*x(w).\nAnswer: -884*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 148 a factor of 10360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -598 divided by 13.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/392*-7)\/(2\/(-6))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11\/(-154)*2 - 9010\/238.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.4559581ms to minutes.\nAnswer: 0.000040932635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8369\/9 - -927. What is the common denominator of -26 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -2*u. Let t(r) = -574*r. What is t(n(i))?\nAnswer: 1148*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94370 = 7*v - 74764. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -10.69 - -10.99. Let g = -0.02 + 4.02. Let i = -1\/18 - 23\/234. Sort i, k, g in ascending order.\nAnswer: i, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 99.47255 years to centuries.\nAnswer: 0.9947255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the third derivative of 1\/24*n**4 - 1\/60*n**5 + 9*n**2 + 0*n - 1\/3*n**3 + 0. Give y(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36 - -19 - -16 - -15.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 421293 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001088 to 7 dps.\nAnswer: -0.0000109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -369, -754, -1143, -1536, -1933, -2334, -2739?\nAnswer: -3148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - (3 - 1)) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0\/(3*8\/(-12)). Suppose -3*c - 46453 = 4*s, -4*c + j*s = 3*s + 61949. Let a = -8591 - c. Round a to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (13\/((-364)\/21))\/3\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, 2, 2821 in decreasing order.\nAnswer: 2821, 9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14014870 divided by 5.\nAnswer: -2802974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 115.525 - 117. Let s = n + 1.61. Round s to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-30)*1)\/(2\/5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1254419 is divided by 418133.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 2037727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**0)**(-5\/6)\/(c*c\/c**1*c*c)**(-31))\/((c**2*c*c*c\/(c*c**(-3\/2)*c))\/(c**2*c)**38) assuming c is positive.\nAnswer: c**(405\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 145\/744 and 8\/279.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:16 AM and 7:36 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -g + 6, 0 = -g - 0*g - 2*t - 4. Solve 8 = 2*z - g*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 8) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, 2, 7730, 4, -38.\nAnswer: -38, -4, 0, 2, 4, 7730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - 7 - 32. Let x = 16 + y. Solve 0*d - 6 = -x*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 44\/115 and 6 + (-1 + -4 - (-1472)\/(-240)).\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z**4\/2 + 304*z**3 + 3675*z**2\/2 + 2763*z = 0.\nAnswer: -3, 0, 614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*2*sqrt(42) + sqrt(168)\/sqrt(4)*-1)\/(sqrt(30)\/(-2*sqrt(5)*-6)).\nAnswer: 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, j: 4}. Give prob of picking 1 z and 1 j.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 6 = 8. Solve l + 2 = -u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20 - -112211111112?\nAnswer: 112211111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -188279.83 - -190027. Let m = a - 1695.1614. Let j = m - 52. Round j to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.9089868um?\nAnswer: 0.0000000009089868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 148.000079 - 148. Round s to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5080483.13 times -2\nAnswer: -10160966.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in fifty-three fifths of a century?\nAnswer: 12720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66158 + 66173 = 2*j + 5*s, 2*j = -2*s + 24 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 5, -0.4, 7\/5, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -4*f + 18. Give q(-5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 128 + 129. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8499335717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2427115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6795078?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 3*x + 44768 = 3*v, -3*x = -2*v + 29843. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -6.3  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x**3 + 2*x**2 - 4*x + 14. Let r = 65 - 55. Suppose -l - 8 = -p - 2*l, -r = -5*p + 5*l. Is w(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = 2*b + 11 - 9, 2*b = -10. Let a be 2*-21 - (-2 - -5). Let q = 51 + a. Solve 0 = o*r + r - q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 686894 and 2262?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13866?\nAnswer: 2, 3, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes before 5:06 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 2*n)*(-261 + 261 + 41*n)*(0 + 0 - n).\nAnswer: -82*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence waww when four letters picked without replacement from wqqwawqw?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 81, 329, 753, 1353?\n\"Answer: 88*h**2 - 16*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 53.04354 - 3838.\nAnswer: -3784.95646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 14 and (-4770)\/(-108) - ((-15)\/(-18))\/5.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2641\/6 + (-22)\/132 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2499, -9508 in decreasing order.\nAnswer: 2499, -4, -9508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 8231*h - 362167. Calculate m(44).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 51 = -3*k, k = -38*c + 35*c + 6. Let j(u) = 4*u + 1. Let x be j(1). Solve x*h + k = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1078) + 6*-4*sqrt(1078))\/(sqrt(66)\/(sqrt(42)\/(sqrt(56)\/sqrt(8)))).\nAnswer: -161*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*u - 106 - 80 = 30. Let k(j) = -j**3 + 5*j**2 + 5*j. What is k(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2000780867?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/3 + (-20)\/(-12). Solve 2 - 17*z - 7*z**4 - 19*z**f - 138*z**3 + 26*z**4 + 155*z**3 - 2*z**2 = 0.\nAnswer: -1, 2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the third derivative of -p**5\/60 - 5*p**4\/12 - p**3\/3 - 16*p**2. Calculate r(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 3*a - 7. Let k be p(3). Suppose h = x - 0*x - k, 2*h = 0. List the prime factors of 4 - -22*2\/x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 + (-4 - 36) + 3 + -13 + -14 + 21.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 238 = -80. Suppose -60 = l*z - 108*z. What is the lowest common multiple of z and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 + 9008c?\nAnswer: 90092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**2 - q + 12. Let a be -5 - 4\/((-16)\/68). What are the prime factors of l(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -23249\/98112 + -4\/511. Calculate the common denominator of f and -5\/328.\nAnswer: 7872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 5 + 3)*(-3 + 3*a + 3) + 25 - 10 + 8 + 2*a.\nAnswer: 8*a + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**3 + 20*i**2 + 9*i + 25. Let t be o(17). What is the hundreds digit of (-18)\/3*t\/(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9470.361nm to meters.\nAnswer: 0.000009470361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 + -2. Let b be 2\/l + (-138)\/(-18). Suppose 3*p = 58 - b. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -269 + 277. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -8.3038338 to two dps.\nAnswer: -8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-74)\/(-5))\/(5\/25). Suppose -t + 1 = -f. Suppose -p = -234 + t. List the prime factors of p.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1233154 (base 6) to base 14.\nAnswer: -1a4c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7094\/9 + -788. Let j(b) be the first derivative of -m*b**3 + 5 + 5\/3*b**2 - 8\/3*b. Solve j(q) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the second derivative of -157*i**8\/56 + 691*i**4\/12 + 168*i + 2. What is the third derivative of k(d) wrt d?\nAnswer: -18840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(3\/5)*z*(z*z**5\/z*z)\/z*z*(z*z**6)\/((z\/z**(-1\/5))\/z) assuming z is positive.\nAnswer: z**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.5 + 2. Let f = 76 + -75. Let i = -1\/2 - 0. Which is the closest to i?  (a) h  (b) -1  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.4  (b) 2  (c) 819  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 5*l + 113. Is x(32) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 2*n**2 + 33*n - 655. What is s(-28)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 20*u + 9 + 1 + 8*u - 5 in the form b*u + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4b0d4 - 1d?\nAnswer: 4b0b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + -2 + 10 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14\/95 + 52\/95. Which is the biggest value?  (a) w  (b) -2  (c) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes before 1:42 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**(2\/9)*x)\/x)\/x**(-2))\/(x**(1\/2)*x)**31 assuming x is positive.\nAnswer: x**(-797\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 - 116?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3.91 + 0.09. Let w = 257\/413 - 3\/59. What is the nearest to -4 in w, 0.4, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hoho when four letters picked without replacement from {o: 6, h: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i*i*i\/(i**(-1\/2)\/i)*i)\/(i**(-5)*i))**25 assuming i is positive.\nAnswer: i**(525\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.64 + 3.6. Let t = v + 0.04. Which is the smallest value?  (a) 5  (b) t  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 20 = -4*u, -u - 1 + 0 = 0. Suppose -a - 13 = -3*l, 3*a + 10 = -2*a + r*l. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:22 PM and 8:05 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16074*m**3 - 8040*m**3 - 8032*m**3 + 0 + 0.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from {u: 5, a: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2311, -4654, -6997, -9340, -11683, -14026?\nAnswer: -16369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in -1\/3, -5, 4\/7, 52?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 107 - 27. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1040 (base 9) to base 12.\nAnswer: -539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*c - 55*c - 56 = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1\/8, -11\/15 in decreasing order.\nAnswer: 1, -1\/8, -11\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + ((sqrt(931) - (sqrt(931) + 0 + -1)) + -2*sqrt(931)*-1 - 1*(-4 + -2 + sqrt(931))) + 4)**2.\nAnswer: 154*sqrt(19) + 1052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times -0.0444\nAnswer: -0.00888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + 4*o + 28 = -5*p, 56*p - 309*o = -305*o - 204 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1d (base 14) in base 11?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1219.167 plus -0.2?\nAnswer: 1218.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 129 divide 46563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.91 + 5. Let a = m + -0.1. Let b = -61444.5 + 61444. What is the nearest to a in -5, 1\/2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15864196 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 65 = -4*x - 12, 0 = -3*z - 2*x - 59. Let k = z + 17. Let u be k\/(-15) + 1780\/150. Calculate the highest common factor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.1  (b) 2\/7  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-42)\/5*100\/(-30). Suppose -4*h - m = m - g, -16 = -h + 4*m. Suppose -h = -n - 3*n. Solve -b + 2*b + n = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 44 + -35 + (-1 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 3.2 and 212 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 4 + 2)*(2*j - 3*j + 0*j) + 0*j + 0*j + j - 43*j + 36*j - 208*j.\nAnswer: -212*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 2*j = -52. Let y(d) = 2*d + 36 - 65 + 30 + 2*d**2 - j*d**3. Determine y(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1420308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*r = -12*r - 153760. Suppose 0 = 466*z - 474*z + r. What are the prime factors of z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.4353154 minutes in hours?\nAnswer: 0.04058859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, 4, -893.5 in ascending order.\nAnswer: -893.5, -2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 10 = -2773*h + 2776*h, 8 = -4*v + 6*h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 1968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -31 + 42. Let q = 10.705 - s. Round q to two dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/(-648)*-12*(-3)\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3)\/105*38 + (-4)\/(-5). Let l = -3 - 1. Which is the biggest value?  (a) l  (b) t  (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -1\/479, -6.\nAnswer: -6, -1\/479, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/((-24)\/(-42)) + (-660)\/(-40).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**2\/8 - 765*g\/8 + 1875\/4.\nAnswer: 3*(g - 250)*(g - 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 148617707 is divided by 74308851.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*d + 7*d**4 - 4*d)*(1 + 0 + 2 + (0 - 1 + 0)*(5 - 2 - 1) + 14 + 7 - 1 + 22) as k*d + h + o*d**3 + l*d**4 + m*d**2 and give l.\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(30\/(-20))\/(((-30)\/4)\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 600 and 20?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 301*y - 311*y = 233100000. Round y to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + (-1 + 4 - (7 + -3)) - -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*n - 848 + 4979. List the prime factors of n.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.205 and 98021.1846.\nAnswer: 98021.3896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (80*(-202)\/40400)\/(2\/125).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -49415, 5, -4.\nAnswer: -49415, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-808)\/16*(-6)\/9 + (-3)\/(-9). Solve c*p = 38*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 297 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 200*h**3 + 35510*h**2 + 526635*h + 154800 = 0.\nAnswer: -645\/4, -16, -3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (57\/15)\/(5\/50). Which is greater: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -31472832*u**4 + 12391982.\nAnswer: -125891328*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 42737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.2, -1, -14, 4, 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -7*x**2 + 5*x + 9. Let i(q) = -21*q**2 + 8*q + 7. Let s(t) = 5*t**2 - 2*t - 2. Let m(f) = -2*i(f) - 9*s(f). Calculate -5*m(a) + 2*w(a).\nAnswer: a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -476 + 5?\nAnswer: -471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 32 and 18757808?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.001 or -0.036?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 78 and 26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3\/76 + -191\/988. Is d at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 - 2 = -5*c. Let m be (1221\/7 - c)*31500. What is m rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**3 - 10*i**2 - 9*i + 2. Let w be a(-9). Suppose 2070 = w*r + 7*r. Suppose r = 22*y - 20*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*y + 27 = -90. Calculate the remainder when 25 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92*t = -121*t - 6*t - 2847 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-15)\/(9 + -6)*-3. Suppose -2*g = -3*o + 9, -g = 4*g - z. Solve -3*h + 10 = o*r, h = 2*h + r - 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 65.729254 to 1 decimal place.\nAnswer: 65.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**2 + 36*s + 299. Let j be u(-23). Solve j = -24*n - 52 - 20 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94 = -2197*i + 2193*i - 11*c + 13*c, 9*i = 3*c - 213 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + -3 + 18 + -13 - (21 - 25) - 103.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**2)**(7\/4)*(f\/((f*((f\/(f*(f\/f**(-1))\/f*f*f)*f)\/f)\/f)\/f))**(6\/5) assuming f is positive.\nAnswer: f**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 125 - 138. Let n be (-1 + -7)*(-1)\/(-6). Sort n, 3, x in increasing order.\nAnswer: x, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2*(-2)\/64)\/((-22)\/(-88))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3678093 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**3\/4 + 1309*s**2\/4 - 14157*s\/2.\nAnswer: -s*(s - 1287)*(s - 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*s**2 + 0*s**2 - s**5 + (-s**4 + 3*s**4 - 3*s**4)*(s - 2 + 2) + (0*s - s - s)*(2*s**4 + 7*s**2 - 7*s**2).\nAnswer: -6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -3723, -7490, -11255, -15018, -18779, -22538?\n\"Answer: q**2 - 3770*q + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**3 - 34*c**2 - 32*c + 62. What is q(-33)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u\/(u\/(u*(u*u\/u**(-4))\/u))))**(-2\/39)\/(u**2*(u*u**(3\/4)*u*u)\/u))**(-4\/5) assuming u is positive.\nAnswer: u**(701\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - o + 57 = 0, 2*o + 45 = j - 3*o. Suppose 8*v = 4*v + 80. What is the greatest common divisor of v and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**2 - 7*x + 12. Let d be j(-8). Suppose 0*z + 3 = d*u + z, -5*u = z - 5. Let a be ((-240)\/(-280))\/(4\/(-14)). Which is greater: a or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -3*a + 0*a**2 + 2*a**2 + 5 - 3*a**3 + 5*a**3 - 3. Let m(l) = 3*l**3 + 3*l**2 - 5*l + 3. Let u(p) = 5*b(p) - 3*m(p). Determine u(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -2151, -8635, -19445, -34581, -54043?\n\"Answer: -2163*z**2 + 5*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 88388489.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3132 - -3135. Sort 2, 5, 133, l in descending order.\nAnswer: 133, 5, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-seven quarters of a decade in months?\nAnswer: 1410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 10 + (-4 + 1 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 189 divide 7386498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qybyeiq. Give prob of picking 2 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -523*n**6 - 35305*n**5 + 298215146*n**2?\nAnswer: -62760*n**3 - 2118300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 27130 and 55928495.\nAnswer: 13565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/2, 10, 3\/8, -0.03, -2, -622\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-1 + 0 + 0)*(-4 + 2 + 1) + 3 + 2 - 3)*(2*x - 4*x - x)*(1 - 1 - 2) to j*x + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3\/6 + 769*b**2\/2 + 221568*b - 665858\/3.\nAnswer: (b - 1)*(b + 1154)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 0*i - 2 + 0*i - 5*i + 6*i. Let s = -2326 + 2328. What is r(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iijjjyipypyyjujy. Give prob of sequence piuy.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -55727 + 0.32.\nAnswer: -55726.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) 2\/5  (b) 5  (c) 0  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**2 - 11*j - 5. Let a be y(12). Is 6 a factor of 173 - a\/(-3 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*o**2 - 11866302*o - 11734093596267.\nAnswer: -3*(o + 1977717)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-5)\/(-5)*(8 + -1). Suppose y = c + 1. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 242894843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 1762*a + 850. Is k(5) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/15  (b) 51  (c) -69\/71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3835 = 1066*i - 429 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**2 + 25. Let d(c) = -209*c**2 - 2*c + 121. Give d(r) - 5*p(r).\nAnswer: -214*r**2 - 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 58916.05 decades in years?\nAnswer: 589160.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 167375.\nAnswer: 5, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -4*u**3 - 3*u**2 + 2*u + 5. Let r be b(-3). What is the tens digit of (27\/(-12))\/((-6)\/r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 216 and 4839210.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1106431118 to the nearest integer?\nAnswer: 33263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pcpp. Give prob of picking 1 c and 2 p.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 5*i + 92 = 0, 2*i + 2*i + 56 = 2*j. Suppose -5*m - p + 34 = 0, m + 1 - 5 = -3*p. What is the remainder when j is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/734 and -17\/217630?\nAnswer: 79870210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**2 - 23*f + 3. Let b be h(-23). Suppose -3*w = -b + 3. Solve w = -2*a + 4*a + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -356*m = -361*m - 30. Is m bigger than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*x = -18 + 4. Sort 2, -142, x in decreasing order.\nAnswer: 2, x, -142","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the third derivative of -t**5\/60 + 7*t**4\/24 - t**3\/2 - 2*t**2. What are the prime factors of n(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*x**4 + 0*x**4 + 0*x**4)*(-38*x + 18*x + 30*x + (-1 + 1 + 1)*(2*x + 0 + 0) + 5*x + 2*x - 2*x).\nAnswer: 68*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3476 divided by 1098\nAnswer: -1738\/549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, -15, -4, 3\/5, 0.086?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 9 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 455236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 180\/24*4\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2274 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -481888 to the nearest ten thousand.\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**3 + 7*j**2 + 10*j - 19. Calculate n(9).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*c - 25*c + 137 = -11. Solve 3*d - 2*j - 17 = 0, -3*d - c*j = -3*j - 14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1414 - 1284 = 13*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -27211318*j**5 - 402*j**2 - 1570*j - 2?\nAnswer: -1632679080*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9495 is divided by 49.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -63 + 117. Suppose -14*i + 768 - j = 0. Let q = 59 - i. Solve -s = -q + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d**3 + 7 - 7 + (4*d**3 + 0*d**3 + 3*d**3)*(102 - 2 - 5) - d**3 - 6*d + 6*d.\nAnswer: 663*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*w = 18*k + 300, 3*k + 8*w - 4*w - 3*w = 4*k + 10 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 5*i = -3 - 0, -8 = -2*u + 4*i. Suppose -5*o - 10 = 0, 2*a + 0*o + u*o - 4 = 0. Solve 7*d + 15 = a*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = h - 5*j - 25, -47 = 3*h - 219399*j + 219326*j - 354 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 80251639 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 divided by 2546598?\nAnswer: 19\/2546598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -62?  (a) 0.5  (b) 5  (c) -7  (d) -14  (e) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 57.0077 rounded to one decimal place?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -587 - 597 + 4*o + 1774 - 590.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -52 + 31. Let r = -46 - -31. Let j = r - k. Solve 0 = 2*b - 0*b - j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 - 2)*(21 - 8 + y - 14).\nAnswer: -4*y + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.06 in 0, -1951, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 minus -4905644724.2?\nAnswer: 4905644722.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**2 + 11*i - 6. Let m be a(8). Suppose -3*t = m - 87. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 - w - 1. Let x(k) = -109*k**3 + 6*k**2 - 5*k - 3. What is -4*n(c) + x(c)?\nAnswer: -109*c**3 + 2*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 + -14. Let u = s - -34. Let x = u - 15. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 5, -1, -3\/50, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12112 divided by 6056.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.336043mm in kilometers?\nAnswer: 0.000001336043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 299*p**3 - 15*p**2 - 3*p + 6. Let c(g) = 29600*g**3 - 1480*g**2 - 296*g + 592. Determine -3*c(o) + 296*s(o).\nAnswer: -296*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -4*l - 1617. Let s = l - -589. Let k be (2 - -1)*5 + 2. Calculate the highest common divisor of s and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -729*i = 323*i + 71*i - 43797 for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 2*c + 4 = 0, 7 = 2*c + 1. Suppose 0 = -3*q - 0*q. Suppose 2*y + 38 = 2*h - q, -75 = -3*h - 3*y. Calculate the highest common factor of h and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-15) + (-2)\/(-15). Is z != 3\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 174, 20, -5, 1, -4 in descending order.\nAnswer: 174, 20, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 180 and 183420?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 + 2*o**2 + o - 1. Let y(q) = 2*q**3 - 3*q**2 + 13*q - 3. Let n(r) = 3*c(r) - y(r). Find a, given that n(a) = 0.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 69*l**3 + 312*l**2 = 0.\nAnswer: -104\/23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - n + 5, -2*n = -11 + 1. Suppose -2*i - 6 = -r*i. Let w(b) = -b**2 - 12*b + 12. Let x be w(-13). Put x, 2, i in descending order.\nAnswer: 2, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.6 + -0.4. Let h = 16907\/535 + -1\/535. Let o = -32 + h. What is the closest to 0 in -0.2, u, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = a**3 + 9*a**2 + 15*a + 10. Let d be g(-7). Let c(z) = -3*z**2 + 24 + z**d - 81*z + 74*z - 3*z**2. Does 2 divide c(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -3*u**2 - 338*u + 8668. What is r(21)?\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10 and 340?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 11678653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -233863*w + 701595. What is u(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3.4 - -0.4. Let k = 4.02 + u. Let s = k + -1. What is s rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 158 + -54. Find the third derivative of -j*l**3 + 33*l**2 + 120*l**3 + 25*l**2 + l**5 wrt l.\nAnswer: 60*l**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1580 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -60*d + 195*d - 3240. Solve -41*y = -16*y - d*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-5)\/((-10)\/12))\/(-2). Let i be l\/(3 + 180\/(-8)). Which is bigger: i or -2\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 182520749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -20373 to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*u**4 - 45*u**2 - 5*u + 4244*u**3 - 1 + u + 2*u - 4222*u**3 as t*u**2 + k*u**3 + h*u**4 + w + a*u and give k.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3\/(-2)*20\/(-6). Suppose -k - 1 = 0, -x = -4*s - 3*k + 8. Suppose -s*c + 13600 = -2*c. Round c to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 48500 + 4?\nAnswer: 48504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 77 and 30954?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 5*l + 3*l + 2*l + 6*l.\nAnswer: 16*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**0)**29\/(i\/(i\/i**0))**31)\/((i\/i**6)\/(i**(1\/5)\/i*i*i))**(-2\/5) assuming i is positive.\nAnswer: i**(-62\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(156) + 4*(sqrt(156)*-3 - sqrt(156))))\/((sqrt(588) + sqrt(588)*2 - sqrt(588))*6 + sqrt(588)))**2.\nAnswer: 2025\/637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -10  (b) -47\/3  (c) -31  (d) -14.8  (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4002 and 577622.\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 4 = 0, 3*g - 2*y - 5 = 3*y. Suppose 0 = -3*a + w + 45 + 1, g = a + 3*w - 12. Let f = a - -5. Solve 2*k + f = -3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (342\/19 - 51\/3)*(-5)\/(-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 26132016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -24 - 10*c - 3*c - 19*c + 36*c in the form r + u*c and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12*s**4 - 32*s**3 + 132*s**2 - 40*s.\nAnswer: -4*s*(s - 2)*(s + 5)*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3990373.\nAnswer: 3990373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 13 - 7 = 0. Suppose q = 2*q + 3. Let r = q + v. Solve -r*g = 1 - 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 72 + 80*d**2 + 334*d**2 - 72.\nAnswer: 414*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 414154 is divided by 207006.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-15)\/(-14))\/(11*729\/9504) and -10\/1309.\nAnswer: 11781","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 243, 501, 749, 981, 1191?\nAnswer: 1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**3 - 8*a**2 - 7*a + 2. Let y be c(7). Let l = 136 + y. Is 20 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.02 or 46.7?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 10475  (b) 0  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, 3, -5, -6, 4, -2280, 1 in increasing order.\nAnswer: -2280, -6, -5, 1, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 17378287, 34756573, 52134859, 69513145?\n\"Answer: 17378286*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*c = 11*c + 113 - 7. What is the fourth biggest value in -3, 0.16, 0.05, 4\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -467.04 + 467. What is the smallest value in k, 2, -2\/11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*g**4 - 4*g + 2*g + 17 - 45*g**2 - 5 - 6 - 3*g**3 in the form b*g**3 + x*g**4 + p*g**2 + s*g + q and give p.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - i - 1)*(1 + 0 - 2) - 2*i + i + 4*i + 5*i + 0*i + 0*i.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**2 + 8314*d + 24937. Determine m(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**2 - 27*t + 76. Let d be u(24). Let j(z) = -572*z**2 + d + 3*z + 290*z**2 + 286*z**2. Let w(f) = 5*f**2 + 4*f + 5. Calculate -4*j(v) + 3*w(v).\nAnswer: -v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -783, -6492, -22069, -52446, -102555, -177328, -281697, -420594?\n\"Answer: -822*h**3 - 2*h**2 + 51*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:55 PM and 8:38 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 31669913 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f*f**1)\/f)**(-1\/76))**(-9\/4)\/(f*f**4\/f*(f*f**(-8)\/f)\/f)**(21\/2) assuming f is positive.\nAnswer: f**(15969\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 950 + 883 - 58*d**2 - 1833.\nAnswer: -58*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) -6\/5  (c) -81.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**3 + 3*i**2 + 4. Let r be j(-3). Suppose r = b + 2. Solve 2 + b = -2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -581, -745, -909?\n\"Answer: -164*m - 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*q + 35*q + 17*q + 816 = 0 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 5*n + 7972995, 5*n + 7972980 = -16*o + 20*o. Round n to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -32*p**2 - 11*p + 17. Let h(l) = -11*l**2 - 4*l + 6. Give -11*h(g) + 4*r(g).\nAnswer: -7*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1291 - -1317. Calculate the remainder when 264 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 5.22828 meters?\nAnswer: 5228.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yhh. Give prob of sequence hy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -67582370.\nAnswer: -3\/67582370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15768 and 17847?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 7, 5, -19, 80?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2015 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 243.0242 rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/4  (b) -2  (c) 1\/2  (d) -0.5  (e) 0.4  (f) -0.5349\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -4114 divided by -34\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1239162811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -2*u**2. Let l(a) be the third derivative of a**6\/90 + a**4\/8 - a**2. Let g(s) be the second derivative of l(s). What is g(q(o))?\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6333690 and 6120?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 582492 is divided by 34246?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1406, -2814, -4222, -5630?\nAnswer: -7038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 421*o + 211*o + 328*o + 5*o - 155*o in the form l*o + d and give l.\nAnswer: 810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -834201 plus -34055428?\nAnswer: -34889629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 5 + 3)*(-4*i + 2*i + 4*i) - 2 - 2*i + 2 - 6*i - 3*i - 26*i to g + d*i and give d.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -35 and -0.003?\nAnswer: 34.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6120, -12253, -18406, -24579, -30772, -36985?\nAnswer: -43218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzzzaaggzzpzzvzgazgg. Give prob of sequence gagz.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((384\/20)\/6)\/(555\/5550)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - (8 - (10 - (-15 + -3 + 6)))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the third derivative of -4*g**7\/21 - g**5\/20 - 19*g**4\/24 - 48*g**2. Find the third derivative of y(i) wrt i.\nAnswer: -960*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 44 = 212. Calculate the common denominator of (55 + -2)\/(5 - -1) and 950\/(-56) + (-16)\/z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, z: 2, m: 2, d: 1, n: 1, o: 1}. Give prob of picking 1 d and 2 m.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the first derivative of 2*d**2 + 2*d - 2. Let u be 6 + (-4)\/(-8)*-22. Let o be -3 + -4 + 7 + 1 + u. What is x(o)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 6*p - 4*p = -4, -4*v = -p - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**3 + 8*c**2 + 6*c + 2. What is l(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.1040411 rounded to 3 dps?\nAnswer: 2.104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of 3861*u**2\/2 + 175. Let d(x) = x**2. Calculate d(h(f)).\nAnswer: 14907321*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*t**2 - 281484079*t + 281484079*t.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -284*w + 251. Let h be 5 - -1 - -4*(-22)\/8. Is x(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 545297414 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(1\/9))\/m*m*m**(-2\/23)*m)**(-1) assuming m is positive.\nAnswer: m**(-419\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 268, 572, 1318, 2728, 5024?\nAnswer: 8428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 421745436 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -55 + 62. Suppose -d*b + 6*b + 6 = 0. List the prime factors of (26\/b)\/(3\/9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 947447929 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: Find the third derivative of 6625*a**3*g*l**2 + 184*a**3*g + 18*a**2*g - a**2 - 71*a + 2*l**2 - 8 wrt a.\nAnswer: 39750*g*l**2 + 1104*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -37*g + 1. Let f be h(-3). Suppose 8*c - 5*c = 48. Calculate the greatest common factor of f and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -33.00000115 + 33. Round l to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -6*a + 5. Let z(q) = -q + 1. Let n(c) = -18*c + 16. Let j(d) = -n(d) + 2*z(d). Let b(f) = 7*f - 6. Let t(u) = -14*b(u) + 6*j(u). Give t(o(p)).\nAnswer: 12*p - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -2*c**2. Let k(n) = 4*n**2 - 6*n. Determine k(m(i)).\nAnswer: 16*i**4 + 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of -28.3375 and 883.\nAnswer: -25022.0125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2993323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -9 - -1b?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 29956 and 2372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4768 a factor of 5200824736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -7*w - 1. Let i be x(-2). Let j be (-1452)\/(-26) + 2\/i. What is the highest common divisor of j and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 - -3. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 30 - 28. Suppose -z + 53 + 43 = 4*n, b*n - 5*z - 26 = 0. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 11*f**3 + 2*f**2 + 6*f + 1. Let u(g) = 12*g**3 + 2*g**2 + 7*g + 1. What is -5*i(k) + 4*u(k)?\nAnswer: -7*k**3 - 2*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that 16*q**4 + 28*q**3 - 24*q**2 - 28*q + 8 = 0.\nAnswer: -2, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1\/217 - -429\/1085. Suppose -1\/5*m**2 + 1\/5*m + q = 0. What is m?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -3*y - 3. Let d be 0 - (4 - 1) - (-1 - -4). Determine o(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -682\nAnswer: -2\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8682432.\nAnswer: 2, 3, 11, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (14\/9)\/(-7)*3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/4)\/(4\/64) - 5 - 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the third derivative of x**7\/1260 - x**6\/144 + x**5\/30 - x**4\/8 + 2*x**2. Let u(p) be the second derivative of c(p). Give u(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 2*t + 0*t - 52 = 0, o - 4*t + 8 = 0. Let p = o - -22. Solve 2 + p = -2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u + 50 = -u. Let q be u*((-24)\/20)\/(-3). Is (-3)\/(-1) + 216\/q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -32.\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 59915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3587460 by -1793730.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x + 6. Let z be w(-7). Let r = 14 + z. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13108, -33720, -54332?\nAnswer: -74944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.3237745 to 4 decimal places.\nAnswer: -0.3238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 209\/10 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5264 - 1?\nAnswer: -5265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:44 PM and 1:57 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 736 + -736.2. Which is the nearest to -1\/6?  (a) -0.1  (b) 2\/7  (c) -10\/7  (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-240)\/14)\/(6\/42). Calculate the common denominator of ((-6)\/o)\/((-3)\/486) and -27\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6 + (-78)\/(-18))*1026\/(-232). Let h = t + 40\/29. Is h at least 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0*(-3 + 2))\/((-22)\/11*3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*3*((sqrt(99)*1*4)**2 - ((0 + sqrt(99) - sqrt(99))*6)**2)*-1.\nAnswer: -4752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the second derivative of q**4\/12 - q**3\/6 - q**2 + 3*q. Let h be i(3). Let c(m) = -2*m**2 + 7*m - 6. Give c(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17*((-5)\/2)\/((109650\/36)\/215)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q + m + 17, q + 5*m = -0*m + 23. What is the remainder when 133 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-2*1\/3)\/((-12)\/31698)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**14\/x**(2\/31)*(x*x*(x\/x**(-1\/3))\/x)\/x**(2\/31) assuming x is positive.\nAnswer: x**(1507\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 AM and 8:38 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -80*s - 8. Let v be u(-4). Suppose -4*j + v = 4*m, 317 + 74 = 5*j + 4*m. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7\/5?  (a) -2  (b) 3\/4  (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) -0.1548  (c) -1\/15  (d) -16\/45  (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6067\/17 + 357. What is the second smallest value in -0.1, -3\/2, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + 12*o - 180. What is the highest common divisor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/(-4))\/(3\/(-144)). Suppose 0 = 3*w + q - 7 + 6, 2*q - 3 = -5*w. Let k = i - w. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**(-11))\/l**(8\/5))**6\/((l\/((l*l\/(l**(-2\/13)\/l))\/l)*l)\/l**(-1\/10))**(-42) assuming l is positive.\nAnswer: l**(-4671\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -105*p + 470. Give s(5).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and 27400?\nAnswer: 27400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5024668517.\nAnswer: 11, 456788047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**3 - 5*w**2 + 4*w - 4. Let t be ((-8)\/(-16))\/((-1)\/(-2)). Let y = t - 7. Is 5 a factor of b(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3200215 (base 7) in base 3?\nAnswer: 201122102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -135  (b) 0  (c) -1\/4  (d) 0.1  (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -37.6 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 750552 and 1188.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 13*n**2 - 5*n. Let s(q) = -40*q**2 + 16*q. Let f = 227 - 232. Calculate f*s(b) - 16*m(b).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4670 * 1.5.\nAnswer: 7005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f = -3*y - 16145 + 16179, -5*f - 2*y = -11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1884, 4042, 7640, 12678, 19156, 27074, 36432?\n\"Answer: 720*p**2 - 2*p + 1166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zlqzzzzgzgqlqgg. What is prob of picking 2 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/2*x + 1\/2*x**2 + 1\/8*x**3 + 0.\nAnswer: x*(x + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 297*k**2 + 3*k + 9. Let z be h(4). Is 5\/20 + z\/12 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 18852 - 18840. What is the highest common factor of n and 37308?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 2176 = 2*d, -2*d - 1318 = 3*k + 315. Let r = -399 - k. What is the lowest common multiple of 6 and r?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l + 1. Let b be q(7). Let v = -2 + b. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3688053 by 244.\nAnswer: 3688053\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -42*i**3 - 14*i**2 - 35*i**2 + 11*i**2 + 78*i**3 + 2*i**6 wrt i.\nAnswer: 240*i**3 + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-18)\/(-48)*4\/(-1))\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -66*z - 2 + 56*z - 1 + 0.\nAnswer: -10*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 1236295.81 to the nearest one thousand.\nAnswer: 1236000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.06 in -0.2, -1, -0.024?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10 + -13 - (-19 - -1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*3*sqrt(624))\/(sqrt(144)\/sqrt(3)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*r + 996 = -122*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -2*f - 9. Let d(y) = 6*y + 26. Suppose 569*s = 597*s + 84. What is s*d(z) - 8*o(z)?\nAnswer: -2*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 9 + -7 - (10 - (1 - -1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -126, -196, -268, -342, -418, -496, -576?\n\"Answer: -s**2 - 67*s - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*g + 512*g**4 - 12*g**2 - 511*g**4 + 28*g**2 + 120*g**3 - 17*g**2 + 6 as n*g + r*g**3 + s + u*g**4 + z*g**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -j - 2*u, 2 - 6 = -4*j + 4*u. Let a(y) be the second derivative of 0*y**2 - 1\/12*y**j - 1\/3*y**3 + y + 0 + 1\/20*y**5. Factor a(s).\nAnswer: s*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 74525940 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 5687234629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4098 is divided by 94.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*q**4 + 11*q**4 - 5*q**2 + 4*q - 3*q - 3*q**4 - 11*q**3 - 9*q**4 to the form d*q**3 + s*q**4 + a*q**2 + c*q + f and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in one tenth of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3354 and 112446462?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -35137, -70262, -105385, -140506, -175625, -210742?\nAnswer: -245857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.4, 3, 4, -1.347?\nAnswer: -1.347","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 5\/(20\/(-8)) + -2. Let v be (-10)\/(-6) - (1 - g\/(-3)). Suppose -y + 0*y = v, -5*u + 3513 = y. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -31.2 - -29. Let n = 2.6 + z. Let p be ((-8)\/(-10))\/(2\/20). What is the third biggest value in p, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16996, 33577, 49746, 65503?\nAnswer: 80848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 24 = x. Let s(j) = -j + 6. Let c be s(6). Suppose c = h + h - x. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 8:21 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-1)\/(20\/4390))\/((-1)\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 188946998*a**4*j + 123654864*j wrt a?\nAnswer: 755787992*a**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6*-2*(-45)\/(-20). Find the common denominator of 131\/12 and (-158)\/(-2772) + (-6)\/z.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000032854 rounded to seven dps?\nAnswer: -0.0000329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1861 - 22229\/12. Calculate the common denominator of x and (12\/(-32))\/((50\/15)\/5).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**3 + 8*b**2 - 9*b - 5. What is z(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 7 - 37 = 0. Let k = -11 - c. Solve k*l = 1 + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 36 + -25. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kggq when four letters picked without replacement from {q: 3, g: 2, v: 5, u: 5, j: 1, k: 4}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 250140018367 + -250140018808.999998993. Let h = 442 + i. What is h rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02416704364 rounded to 6 dps?\nAnswer: 0.024167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 128260129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 3*x - 21, 8*x - 5*x - 9 = r. Suppose 8*b - r*q = 5*b + 12, -3*q - 16 = -5*b. Sort 5, b, -8, 0 in decreasing order.\nAnswer: 5, b, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-1\/6)*l*l*l**(13\/6)\/l assuming l is positive.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 535 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -20 - -76. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 1861 - r**3 - 1861 - r**2 + r. Let c(u) = 6*u**3 + 3*u**2 - 3*u. Give -2*c(a) - 6*x(a).\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 11*b**2 + 8*b + 7. Calculate the remainder when 33 is divided by m(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighty-seven halves of a litre in millilitres?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**4 + 212*w**3 + 1102*w**2 + 888*w.\nAnswer: -2*w*(w - 111)*(w + 1)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/3 or 2.92089?\nAnswer: 2.92089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*m - 444 = 678. Calculate the highest common factor of m and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 350 - 214. Suppose -5*h + 164 = 4*n, 0 = 5*h - h + 2*n - f. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 157\/88 - 21\/11. Let m = 993\/88 + -120\/11. Which is the second smallest value?  (a) u  (b) m  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 21 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the first derivative of -c**2\/2 - 3*c - 13. Suppose -299 + 302 = -q. Determine i(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-312)\/(-72) + (-111)\/9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -4. Suppose u = -3*o + 4*o. Suppose 0*c = -o*c + 144. What is c rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.04707*-0.9.\nAnswer: 0.042363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 - -9. Let m = 4 + b. Let c = -14.99984 + m. Round c to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 303 + -264. Does 39 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7*g**5 + 107525*g**4 - g**3 - 16470463*g?\nAnswer: -140*g**3 + 1290300*g**2 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -383, -380, -375, -368, -359, -348, -335?\n\"Answer: b**2 - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18754015?\nAnswer: 5, 7, 41, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 667 and 1810153291?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 7157499211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2, 25, 52, 79, 106?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-15 - -12)*(-2 + 1). Solve 4*m = -5*q - 19, m + z = 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t + 42*u = 37*u - 5, -2*t + 4*u - 22 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 70261146 and 1692?\nAnswer: 140522292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 1 = -4. Let g(i) = -i**2 - i. Let k(q) = -3*q**2 - q + 4. Let b(t) = w*k(t) - g(t). Differentiate b(n) with respect to n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000269 to 7 dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 101166083?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19865054?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-24)\/(-9)*3\/4. Suppose 4 = -5*t + 5*l + 34, -c*l + 54 = 4*t. Let j = t + -34\/3. Put -0.4, 4, j in decreasing order.\nAnswer: 4, j, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 904597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 126822*g**2 + 126661*g**2 - 253487*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Let f = 829 + -846. Let k(i) = 7*i**3 - 2*i - 1. Let l be k(-1). Let o(r) = 5*r**2 + 3*r + 6. Let h(t) = -14*t**2 - 8*t - 17. Calculate f*o(c) + l*h(c).\nAnswer: -c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1269 + -7?\nAnswer: -1275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2055613935 rounded to the nearest one million?\nAnswer: -2056000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31787 = 43*v - 36755. What are the prime factors of v?\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1.72 bigger than -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4 - 0) + 6\/3. Let a(t) = 2*t + 3. Give a(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 604 + -1156?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 49559758 or 99119515\/2?\nAnswer: 99119515\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -9*o - 83. Let a be g(-15). What is the greatest common factor of a and 923?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**3 - 18*u**2 - 14*u + 28. What is the smallest common multiple of 350 and d(-18)?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2 - (2 - -1))\/1. Let u be 176\/40*(l - -6). Is 4\/u + 2412\/44 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 297.2 + -378.2. Let u = -3211501705.00000612 - -3211501624. Let y = u - p. What is y rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - (-34)\/(-14))\/(18\/21).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 379 divide 1505680588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.163*-25.\nAnswer: -4.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 335303, 335305, 335307, 335309, 335311, 335313?\nAnswer: 335315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of f**4*n**3 - 341*f**3*g*n**3 + 3*f**2*n**2 + 2*f*n**3 - g*n + 3*n**2 wrt f?\nAnswer: 24*f*n**3 - 2046*g*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/315*-3)\/((-15)\/(-35))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes before 7:17 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= -29\/15845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3\/(-6))\/((-1)\/4). Suppose 0 = -2*d + f*b + 42, -3*d + 5*b + 41 = -2*d. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -302 - -300. Sort 22, 1, g in increasing order.\nAnswer: g, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 425557760.\nAnswer: 2, 5, 332467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 3 k when four letters picked without replacement from {p: 2, k: 11}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2.345 + 2.369. Which is the fourth smallest value?  (a) 3  (b) -1  (c) k  (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64 = -g - g. Suppose -g = -2*u - 4. Let q = -125 - -128. What is the remainder when u is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g\/((g\/g**(-3\/7))\/g))*g*g)**23*(g*g*g**(-1)*g)**(2\/45) assuming g is positive.\nAnswer: g**(17623\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 52809, 52817, 52825, 52833?\nAnswer: 52841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -141 = -j - 2*j. List the prime factors of j.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 4*n = 24, -4*n - 4 = r - 2*n. Let v(o) = o**3 + 1 + o**3 - 4*o**2 - 3 + r. Let b(h) = 2*h**3 - 3*h**2 + 1. What is -3*b(g) + 2*v(g)?\nAnswer: -2*g**3 + g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3121536 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 3*r = 15. Is 11 a factor of (r - (-17 + -1)) + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 3*m**2 + 41*m - 16. Let s be u(-14). Calculate the common denominator of -2 + 3 + (-95)\/12 and s*8\/12*(-149)\/(-24).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h**4 - 350*h**3 + 41722*h**2 - 824370*h + 783000 = 0.\nAnswer: -261, 1, 25, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/4*(-4)\/23. Let f = -65\/46 + c. Let y be 16\/(-20)*(-5)\/(-2). Which is greater: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 595895003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 42715117?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.64 - -0.29. Let c = x + -0.61. What is c rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*v**4 + 0*v**4 + 12*v - 5*v + (-2*v**2 + 2*v**2 - v**2)*(-4*v**2 + 0*v**2 + 2*v**2).\nAnswer: 4*v**4 + 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3511 + 103614?\nAnswer: 107325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**3 + a**2 - a + 1. Let y(x) = -5*x**3 + 3*x**2 - 4*x + 9. Determine 3*s(m) - y(m).\nAnswer: 2*m**3 + m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1739 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -14?  (a) -1  (b) -20\/3  (c) 2\/7  (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/237748 and -9\/1952930.\nAnswer: 27341020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -125*a + 28851. What is n(231)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -39*g**2*i**3 - 2*g**2 - 2937*g*i - 29267*i**3 - 971*i wrt i?\nAnswer: -234*g**2*i - 175602*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, v: 1, x: 6, n: 5, t: 1}. Give prob of picking 1 t and 1 n.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22 (base 3) to base 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*i = -i - 12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12110100 - 12?\nAnswer: 12110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l. Let m be p(5). Let f(i) = i - 3*i - 9*i. What is the remainder when f(m) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -8 + 15\/(-7)*(-161)\/46. Let o = 5.7 + -0.7. Which is the closest to 2\/5?  (a) -1\/6  (b) r  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the second derivative of -a**5\/20 - 17*a**4\/12 - 3*a**3 + 5*a**2\/2 + 18*a. Calculate the remainder when 146 is divided by u(-16).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1114637.1 to the nearest 10000.\nAnswer: 1110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i + 4*t - 105 - 255, -2*i + 4*t = 172. Let n = -102 - i. Does 15 divide (-6)\/n*-86*(-38)\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sssspssississssissss. What is prob of sequence ii?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18 and 6\/15 - 152\/(-20)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 57.930626 to 0 decimal places.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**3 - g**2 - 3*g + 3. Let t be p(1). Suppose r - h - 124 = t, 0 = 3*h - 2*h + 2. Is 23 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -7  (b) -3  (c) 695  (d) 233\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -236 - 1?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -525*z + 5 - 580*z + 938*z as o + d*z and give d.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*n**3 - 190*n**3 + 35*n**3 + 39*n**3 + 45*n**3 + 30*n**3.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5947007252*h - 5947007252*h + 2*h**3 + 0 + 0.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1595*g**5*r**2*t + 4*g**4*r**2 + 4*g**2*r**2*t - 1003*g**2*r*t wrt g.\nAnswer: -95700*g**2*r**2*t + 96*g*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*g + 3*g + 6, 0 = 4*c - 3*g - 706. What is the remainder when c is divided by 64?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v - 5*i - 13, -i = -v - v + 5. Let n = 44.5 - 47.5. Which is the second smallest value?  (a) v  (b) n  (c) -2\/13  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 148*v**2 - 148*v**2 + 2*v - 13*v**3 - 5*v.\nAnswer: -13*v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 2*q = -1030, -77 - 441 = -2*j + 2*q. Calculate the remainder when 533 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the first derivative of p**5\/15 - 5*p**4\/6 + 13*p**3\/9 + 10*p**2 + 12*p - 11. Suppose n(i) = 0. Calculate i.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 33 + 3 = 0. Suppose 12 = -14*x + z*x. Let g(l) = -2*l - 1 + x - 2. Let r(a) = -a. Determine r(g(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(4\/(-3)))\/(93\/(-4464)*60)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 2*w - 4, 5*g - w + 0 = -2. Sort 2, 4, -11, g in decreasing order.\nAnswer: 4, 2, g, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 3163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 520416 a multiple of 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43994.\nAnswer: 2, 21997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 smaller than 10880\/1641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**2 + 408*g - 39845. Determine j(247).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**2 - 41*w + 100. Does 36 divide k(-37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -206.013 rounded to zero dps?\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 6933459 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yk when two letters picked without replacement from {a: 4, u: 3, h: 2, y: 2, k: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -9  (b) 1\/14  (c) -1\/3  (d) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1733746 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/(-6) - (4 + (-1442)\/21). Is ((-96)\/c)\/(6\/(-1240)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -137*v**3 - 2*v**2 - 38*v + 20. Let l be k(-17). Let t = -372935 + -50234. Let g = l + t. What is g rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-2*3*(sqrt(2) + -2)**2 + 1) + 0.\nAnswer: -48*sqrt(2) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*k**3 + 52790*k**2 - 2225795*k + 2173000.\nAnswer: 5*(k - 41)*(k - 1)*(k + 10600)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16, 37, 62, 91, 124, 161?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1404 = -2407*t + 2173*t. Suppose 2*n = 5*v - 588, -237 = -v - v - n. Calculate the remainder when v is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*u - 12 = -27*u + 5*x, 2*u = 3*x - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 24*i**2 - 75*i**2 - 42*i + 29*i**2 + 21*i**2 in the form u*i**2 + v + s*i and give s.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1756 is divided by 83?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*f**2*p**2 + 3*f**2*p + 38*f**2 + 131*p**2 + p wrt p.\nAnswer: -6*f**2 + 262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/198 and 68\/363.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*v + v - v)*(2*v + 2*v - 2*v)*(0*v - 2*v + 4*v).\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3 + 3 + 0 + -10. Let h = g + 48. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + 5*n = 3*m + 27, -3*m - 4*n = 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the second derivative of -f**8\/1120 - f**7\/315 - 3*f**4\/2 + 20*f. Let o(q) be the third derivative of l(q). Find the third derivative of o(s) wrt s.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/(392\/112)*(-4)\/(-628).\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 5*n + 1. Suppose 2*w + 5 - 11 = 5*j, -w = j + 4. Let f(a) = 5*a + 2. Give j*f(y) + 3*k(y).\nAnswer: 5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the second derivative of -3*b**5\/10 + b**3\/3 + 5*b. What is the second derivative of v(m) wrt m?\nAnswer: -36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 200 divide 10745200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 7*v**2 + 2*v. Let s(c) = c**2 - c. Let j(k) = -k**2 - 17*k - 32. Let h be j(-2). What is h*s(m) - q(m)?\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 629*c = 633*c + 4*f - 100, -4*c - 5*f + 106 = 0. Solve 18 = 2*x + 3*b, -5*x - 15*b + c*b - 1 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -39*l**3 + 17159*l**2 + 456*l - 7047. Calculate f(440).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 5:08 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 19*i + 12*i - 23*i + 1 as b*i + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -455 divided by -7\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 2*u - 340 = 0. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2950, 5881, 8812, 11743?\nAnswer: 14674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = -19 + 4. Let c = 3050.7 + -3051. What is the second smallest value in 5, i, c, 50?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4*-0.77.\nAnswer: -0.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 2 = t + 7*f, 0 = t + 2*f - 8. Differentiate 3*u**4 - t*u**3 + 2*u**4 - 3 + 18*u**3 with respect to u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6100 (base 7) to base 11\nAnswer: 1646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -4*p + 9. Determine o(9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1c + 1d33?\nAnswer: 1d51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -144\/31 + 10574\/2263. What is the nearest to p in 1\/7, 5, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1402.621 nanoseconds in microseconds?\nAnswer: 1.402621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18*(-52)\/(-624)*(-4)\/23.\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0*5.2853\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 759871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 3)*(0*g**4 + g**4 + g**4) + 12*g**4 - g**4 + 3*g**4 - 16*g**4 - 8*g**4 + 12*g**4.\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*n - 45 + 14*n + 13)*(-716 - 87*n**2 + 716).\nAnswer: -87*n**3 + 2784*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*n**4 - n + 14*n - 11*n**4 + 20*n**4 + 8*n**2 - 2 in the form g*n + y + f*n**2 + c*n**3 + i*n**4 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 3172 = 4*o, 3*u = 2*o + 4212 - 1042. Calculate the smallest common multiple of u and 288.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2877420.\nAnswer: 2, 3, 5, 7, 13, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 31814, 31818, 31830, 31856, 31902, 31974, 32078?\nAnswer: 32220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.2215 + 0.1215. What is the closest to 1 in -3, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of -2*l**8\/21 - l**7\/105 - l**4\/12 - 46*l**3\/3 + 2*l**2 - 85*l - 5. Find the second derivative of m(y) wrt y.\nAnswer: -640*y**3 - 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8062217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*8\/50*-5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 3*v**3 - 18*v**2 - 13*v + 1. What is k(7)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**0)**23)**(-2\/7) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36400 + 12842 = 6*k. Is 61 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 228 = u. Let r = -12 + u. Suppose 41*a = r*a - 64. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*(-6)\/(-36)*(-12)\/(-20)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 2, -3, -2, 4, 71, 1835 in increasing order.\nAnswer: -3, -2, 2, 3, 4, 71, 1835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4010 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -3*v**3 - 2*v**2 + v + 2. Let q(d) = -16*d**3 - 11*d**2 + 6*d + 11. Let m(k) = -k**2 + 33*k + 97. Let u be m(36). Give u*w(z) + 2*q(z).\nAnswer: z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-1*sqrt(112) + sqrt(112) + sqrt(7)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/3*(-579)\/2. Let b = -662 - n. Let r = b + 728. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 475 and 380?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from iisisiiiii?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*l + 64 = 32*l. Suppose -3*z + 28 = 4. Calculate the highest common divisor of l and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand z**5 - 2*z**5 - 12*z**5 + (0*z**3 + 0*z**3 + 2*z**5)*(5 - 5 - 2).\nAnswer: -17*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/30)\/(3\/12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -387498 by -2.\nAnswer: 193749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2351 = -11*i + 16013. Is 94 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -7 - 3*v**3 + 12 + 4*v**3 + 3*v + 0*v**2 - 4*v**2. What are the prime factors of y(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 49, 226, 529, 964, 1537, 2254, 3121?\nAnswer: 4144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 562, 2419, 5500, 9793, 15286, 21967?\nAnswer: 29824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**3 + 5*x**2 - 5*x + 6. Give n(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3 and 2886483.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*l + 40 = -4*r - l, 39 = -96*r + 89*r + l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 526766 by 1.\nAnswer: 526766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 708 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 271968?\nAnswer: 2, 3, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 39550 divided by -2530\nAnswer: -3955\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, 62, 1 in descending order.\nAnswer: 62, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 560885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -21*d**4*s**3 + d**3*s**3 - 3*d**2*s - 7*d**2 + 9*s**3 wrt d.\nAnswer: -504*d*s**3 + 6*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -q + 146 + 0*q**3 - 3*q**4 - 146 - q**2 + 2*q**3 in the form t + b*q**4 + j*q + l*q**2 + g*q**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1313 and 12423.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - 28 = 2*q, 5*q + 36 = -4*z + 65 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -126 = -3*k - 3*t, -4*t = -14 + 10. What is the remainder when 72 is divided by k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (171 - 172)\/(1\/(-5)) + 9 + -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/265129 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3484, 6976, 10526, 14164, 17920, 21824, 25906, 30196?\nAnswer: 34724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 117*u - 223*u + 135*u.\nAnswer: 29*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((8050\/(-161))\/(-450))\/(2\/126).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 3*o**3 - 5*o**2 + 5. Let c(n) = 5*n**3 - 8*n**2 + 8. What is -5*c(f) + 8*t(f)?\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 1 = 11, -3*i = -5*s. Let v = i - -6. Suppose v = -3*u + 7. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 + 1. Let z = 6 + -3. Suppose -80 - 16 = -3*u - z*f, 55 = 2*u - f. Calculate the remainder when u is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 96 = -0*s. Let f be ((-4)\/(-3))\/(22\/132). Calculate the greatest common factor of f and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 8 = 2*n - 2, 2*m - 3*n + 21 = 0. Which is the closest to -1?  (a) 0.08  (b) m  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.027318 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 2 p when three letters picked without replacement from {o: 2, c: 3, i: 1, w: 3, t: 7, p: 3}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o. Let t(l) = 48*l**2 + 49*l**2 - 147*l**2 + 48*l**2 - 11*l. Determine w(t(v)).\nAnswer: -2*v**2 - 11*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*s - 53 = 14*f + 13*s, f - 2*s - 2 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**3 - 3*v**2 - 7*v - 27. Let c be s(6). Solve 2*k - 22 = -4*n, -4*k - 10 = 3*n - c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 3 + 2*b**2 - 16*b - 17*b**2 - 10*b**2 + 19*b**2 + (0*b**2 - 3*b**2 + 2*b**2)*(3 + 0 - 5).\nAnswer: -4*b**2 - 16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 3 - 0. Let y = 1168\/11 - 106. What is the closest to 0.02 in y, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 - 4.95. Let l = 787\/3 - 263. Is a less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.6 and 10251.\nAnswer: 10251.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/28893 and -9\/9631.\nAnswer: 28893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 84 + -5.91915.\nAnswer: 78.08085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 5*d**2 - d + 1. What is the remainder when 10 is divided by o(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 11 - (2 - 2 - -2). Suppose 25 = 5*z, 3*x = 3*z + 9 + v. What are the prime factors of x\/4 + 3\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -209, 3, -5 in decreasing order.\nAnswer: 3, -5, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4062166 and 194.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 60978371837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 978*g**3 + 3*g**2 + 2*g - 10. Let k(b) = b**2 + 18*b + 79. Let t be k(-11). Let c be w(t). Round c to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 805 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 18919 + -275?\nAnswer: 18644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2\/15 of a hour?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -2*w + 9. Let t be u(-7). Let o = t - 13. What is the greatest common factor of 70 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -78885, -631120, -2130079, -5049132, -9861649, -17041000, -27060555, -40393684?\nAnswer: -57513757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -156*u**2 - 17*u + 79*u**2 + 78*u**2. Let m(f) = -2*f**2. Give m(z(v)).\nAnswer: -2*v**4 + 68*v**3 - 578*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add 40.156 and 0.3.\nAnswer: 40.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2979002 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -304881, -1219561, -2744039, -4878315?\n\"Answer: -304899*b**2 + 17*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 60382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*g - 105 = 9*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11 + -9. Let j = l + 10. Suppose -2*k = 5*n - 23, -2 + 3 = 4*k - 5*n. Solve -k*d + 0 = -j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and -19650753.\nAnswer: -7860301.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -580*c = -538*c + 168 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9*v**5 + 15*v**2 - 10*v**2 - 8*v - 5*v**2 wrt v.\nAnswer: -180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1358, -5453, -12284, -21845, -34130, -49133, -66848?\nAnswer: -87269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 0*g = -410. Let n = g - 74. Suppose -s + n - 9 = 0. Is s bigger than 1\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 6*x - x + 18 = 0, 5*o + 5*x = 45. Suppose j = o*j. Solve j = 3*s - 7*s - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - 0. Let n be 0*(h + 1) - -5. Suppose 5*f + 4*p - 264 = 0, 0 = n*f - 0*p + 2*p - 272. Does 19 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 4*r**5\/5 + 16*r**4\/5 + 4*r**3 + 8*r**2\/5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1430, -17, -2, 2 in descending order.\nAnswer: 1430, 2, -2, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -67268*r**3 - 13*r**6 - 58*r**2 + r**5 + 67268*r**3 wrt r?\nAnswer: -1560*r**3 + 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 144 by -5.\nAnswer: -144\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/(-3 - 0)*-6. Let v(b) be the first derivative of 28*b**3\/3 - b**2 + 4*b - 41. Does 28 divide v(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -22365 - -22438. Suppose -1 - 5 = 3*k. Sort i, k, -1.\nAnswer: k, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:33 AM and 5:43 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -866*t - 46. Let y(f) = 288*f + 17. What is -3*a(q) - 8*y(q)?\nAnswer: 294*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 4627\/(-661)*(-3)\/(-6)*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.475 and 0.026.\nAnswer: -0.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 191253469 to the power of 1\/3, to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.361653 rounded to 3 dps?\nAnswer: -0.362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 + 4. Let v be (4 - 4)\/(n\/2). Let o be v + -3*(-17)\/3. What is o rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, 4, -5, -1163752?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 23 + (-82 - 11) - 2\/(4 + 90\/(-24))\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**3 + 8*p**2 - 4*p + 8. What is the remainder when h(-4) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 252 and 80376?\nAnswer: 1687896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/165 and -58\/11645?\nAnswer: 384285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 22903237 to the power of 1\/3, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -102, -96, -88, -78, -66, -52, -36?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 36*c**4 + 3*c**2*x*z + 21*c**2*z + 2*c*x - 2*c*z - 848*x wrt c.\nAnswer: 432*c**2 + 6*x*z + 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*p**5 - 967*p + 2*p**3 + 373*p - p**3 + 3*p**5 + 4*p**5 + 5*p**5 + 0 + 0 + p**5 + (-3*p**3 - p**4 + 3*p**3)*(-1 - p + 1).\nAnswer: 16*p**5 + p**3 - 594*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 - 2605?\nAnswer: -2607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.07 and 7.78946.\nAnswer: 0.5452622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -148, -294, -440?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 1.23, 5.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -3367, -6734, -10085, -13414, -16715, -19982, -23209?\n\"Answer: t**3 + 2*t**2 - 3380*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**(-3))\/l)**45\/(l*l\/((l\/l**(-5\/2))\/l))**(2\/7) assuming l is positive.\nAnswer: l**(946\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*d = 83 + 277. Calculate the greatest common factor of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14570 and 235?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 22575*n**3 - 22585*n**3 - 9*n + 4 - 2 to p*n + l*n**3 + f + g*n**2 and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide (17680\/1300)\/(2\/535)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**3 + 22056*c**2 + 308196*c.\nAnswer: 3*c*(c + 14)*(c + 7338)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**2 + 4*r + 6. Let f be (1\/3)\/((-3)\/(-54)). Let k be w(f). Suppose d - k = -586. Round d to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 + 2.5. Let s(g) = 2*g**2 - 69*g - 1367. Let h be s(-14). Which is the closest to -1?  (a) h  (b) l  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hdhwwwhpwqdhqd. Give prob of sequence hhwp.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, 0, -22 in ascending order.\nAnswer: -22, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, q: 3, j: 1, k: 5}. Give prob of sequence sk.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*o + 68*o**2 - 14*o.\nAnswer: 68*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -153, -152, -151, -150, -149, -148?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrqrqq. Give prob of picking 1 r and 3 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -19*r**2 - 3915*r + 896. Determine l(-206).\nAnswer: 1102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lprlrrlrrlllrrrlrlll. Give prob of picking 2 l.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -156 + 78 + 78 + 30*a**2.\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4992)\/560)\/(-52)*20\/(-16)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qpp when three letters picked without replacement from {p: 2, q: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -2*w**3 + 45*w**2 + 74*w - 36. Let k be n(24). Solve 4*m + 5*q = -5 - 7, -4*q = -4*m - k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4963*x - 3326*x - 1644*x.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -510855*f*x + 417954*f with respect to x.\nAnswer: -510855*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.024 or 4?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25, -32, -53, -94, -161, -260, -397?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -22*k - 349. What is x(9)?\nAnswer: -547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 191*m**2\/4 - 9696*m + 19201.\nAnswer: (m - 2)*(191*m - 38402)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*a**3 - 7481940044 + 7481940044.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 29\/3 of a day?\nAnswer: 232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 49057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -149\/336 and -17\/6608.\nAnswer: 19824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12 + -20. Let n be (-9)\/15 + o\/(-5). Which is the closest to n?  (a) -0.2  (b) 0.1  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 30 + -14. Suppose -197 = 4*o - 5*l, y*l + 45 = -o + 13*l. What is the tens digit of ((-9)\/2)\/(o\/1472)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes before 12:50 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 2609 to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = -2*n + 3*o, 5*n + 30 = -o - o. Calculate the remainder when 408*n\/(-36) - 2\/3 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1615891321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (0 + (-3 - -8)) - (-14 + -1 - -133)?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**3 - 2*q**2 - q - 43. Let g be a(0). Let m = g - -115. Let s(z) = 17*z**2 + z + 1. What is the remainder when m is divided by s(1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 99 - 99 + 8*k + 14*k.\nAnswer: 22*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -22260 divided by 2?\nAnswer: -11130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the second derivative of -11*x**5\/20 + x**4\/2 + 4*x**3\/3 - x**2\/2 - 929*x. Let m(a) = -21*a**3 + 11*a**2 + 15*a - 2. Determine -11*g(c) + 6*m(c).\nAnswer: -5*c**3 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 12266 (base 7) in base 4?\nAnswer: 302201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -14 - 0 - (-10 + (40 - 20) - 13)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xzzfzzfixzfixzzzzzii. What is prob of sequence zii?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + -1. Suppose 4*i - i + 3 = f. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 283330754?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 22683301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 76562 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4 - -15) + (0 - 2). What is the smallest common multiple of 16 and (-102)\/42 - -2 - d\/(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2057) + -1*sqrt(2057) + -5 - (4*(1 + sqrt(2057)) - sqrt(2057)).\nAnswer: -33*sqrt(17) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*j - 166 - 941 = -197 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**3 - 10*g**2 + 7*g + 8. Let l be h(9). Let p be 2\/(-5) + 26\/l. Let i be (965\/(-875) + 26\/182)\/(2\/5). Which is greater: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 65 - 259\/4. Which is the closest to 1?  (a) f  (b) -1\/4  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -32021, -53281, -74539, -95795, -117049, -138301?\nAnswer: -159551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3351*m - 6675*m + 3388*m)*((2 - 3 + 0)*(0 + 5 - 3) - 4 + 3 + 2).\nAnswer: -64*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10 and 225.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 251 - 242. Suppose 0 = -4*l + 4*s + 2380, k*l + 5*s = 10*l - 575. Does 60 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 2*r**2 + r - 2. Let k(h) = -2*h**2 + 2. Let b(c) = 2*j(c) + 3*k(c). Calculate b(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1929*b + 105316 = -35501 for b.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -0.3, -0.1125, -14 in ascending order.\nAnswer: -14, -0.3, -0.1125, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-27)\/(-81)*-1*294.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**2 - 5*j - 5. Let m be a(8). Let y = -17 + m. Calculate the remainder when ((-5)\/y)\/(1\/(-14)) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3 from 0.30702377.\nAnswer: 3.30702377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*2\/4 - (-7)\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 4 = -g, -3*g = -2*c + 1 + 12. Solve 2*a + c - 15 = 0, d = -5*a + 28 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -5*i**2\/2 - 101*i\/2 - 10 = 0.\nAnswer: -20, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 360 (base 13) to base 11.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 29159736 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -328848.72 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -4*b**2 + b + 1. Let l = -9 - -2. Let v(q) be the third derivative of 3*q**5\/20 - q**4\/8 - q**3\/3 - q**2. Let u = -6 + 3. Calculate l*d(o) + u*v(o).\nAnswer: o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 124 = -2*c + 129, -3*c = 10*h + 73. Suppose -2*j + 0*j = 4. Put 2, h, j in ascending order.\nAnswer: h, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-15)\/4)\/(515\/(-13390)*6\/4)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - n = 1748, 2*n = 3*v - 0*n + 1054. Let m = v - -356. Suppose s = -0*s + 5*u + 9, -14 = -4*s - 2*u. What is the remainder when m is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.17, -4, 1\/2, -1\/7, -160 in increasing order.\nAnswer: -160, -4, -0.17, -1\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-14)\/(-3) + -1 + -2. Let h = -13\/6 + q. Is -2 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17 + 26 - 7 - -13?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-42)\/24)\/(3\/(-336)). Let q be 26 - (1 - -1)\/(-1). Calculate the highest common divisor of q and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w + 4. Let i be d(-4). Suppose i = -7*v + 8*v - 77. What is the greatest common divisor of 7 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 882*n + 569*n + 1014*n.\nAnswer: 2465*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15613.\nAnswer: 13, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 9 and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.41 - 1.11. Let a = 6\/11 + 4\/33. What is the closest to a in -0.4, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j + 4*v - 63 = -9*j - 23, -5*v = 4*j - 36 for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 + 7. Let p = 13.7 - o. Put p, 0.4, 0.3 in descending order.\nAnswer: 0.4, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33368016 and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*a - 2*a + 0*a)*(a - a - a**2) + (4*a**2 - 5*a**3 - 4*a**2)*(1 + 6 + 13) + a**3 + 3*a**3 - a**3 to the form x*a**2 + f*a**3 + d*a + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -6744 plus 36?\nAnswer: -6708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 5, q: 3, d: 3}. What is prob of picking 1 q, 1 i, and 1 d?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-6)\/(-1) + 104635\/(-19380) and 51\/152.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = 4*s - 93, 7*b - 3*b = 3*s - 93. Let i = s - 25. Suppose 0 = i*a - 6*a + 336. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 576 and 280?\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1827\/22 - -83. Suppose 18*x - 92 = -110. Which is smaller: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -25.1788 to 1 decimal place.\nAnswer: -25.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-38)\/(-95)*340\/32.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 6\/7  (b) 5  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 24631\/5 - 4926. What is the fourth biggest value in -5, 329\/3, s, 1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 5*k. Let a(i) = 5*i. Suppose -3*y = -16 - 5. Suppose 842*v = 439*v - 2418. Determine v*a(g) + y*w(g).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes before 11:23 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1*(1 - 3 - 2). Suppose -3*i + m = i - 17, 5*m - 11 = -n*i. Solve i*u = 2*y + 16, -2*u - 2*y - 20 = -7*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2459914661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 6*y**2. Let r be 4*(-4)\/(-16) - (-4 - 3). Let s(m) = r*m - 103 + 103. Calculate s(w(n)).\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v**5\/7 + 144*v**4\/7 + 484*v**3 + 6336*v**2\/7 + 442*v = 0. What is v?\nAnswer: -17, -1, 0, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiil when four letters picked without replacement from {l: 12, i: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fq when two letters picked without replacement from {q: 4, f: 7}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are 22 and 13\/2115 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 9355.02186 to the nearest one hundred.\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -15 + 5*o + 7 + 2. Let x(h) be the first derivative of h**2\/2 - h - 3. Let r(p) = -2*p + 2. Let y(i) = -3*r(i) - 5*x(i). Calculate w(q) - 6*y(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -7343922 - -5?\nAnswer: -7343917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 14317424581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -7, -4, 2, 163 in decreasing order.\nAnswer: 163, 2, 1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + (-11 - -17) - (-5 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 2 m when three letters picked without replacement from mmuumumummumu.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -345604, -691162, -1036720, -1382278, -1727836?\n\"Answer: -345558*v - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 3*z**3 - 5*z**2 - 9*z + 9. Let j be w(6). Suppose 0 = -x + 4*x - j. List the prime factors of x.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*g**3 - 55*g - 81*g - 77*g + 27*g**3 - 11*g**3.\nAnswer: -g**3 - 213*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 73513086*b**2 - 73513086*b**2 + 3063*b**3.\nAnswer: 3063*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1573, -1271, -969, -667, -365, -63?\n\"Answer: 302*o - 1875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 555*h = 2*c + 560*h - 2, -2*c + 2*h = -16. Let g = -89\/129 + 1\/43. What is the second biggest value in c, g, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12 + -16. Let y(p) = p**3 + 6*p**2 + 7*p - 1. Let r be y(o). Calculate the smallest common multiple of -3 + r*4 - -1 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3852)\/(-837) - (-8)\/124 - (6 + -1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(1\/2)\/l)\/(l**6\/l))**(2\/9)\/(l**6\/l**(-2)*l**(-4\/3)*l*l**(-3\/5)) assuming l is positive.\nAnswer: l**(-373\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p - 5*k + 21, 3*p - 28 = -3*k - 10. Suppose -5*d + 15 = t, -p*d = -5*d - t + 9. Solve -5*f = -d - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2036599, 4073195, 6109793, 8146393, 10182995, 12219599, 14256205?\nAnswer: 16292813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -896 + 896 + 15*d.\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 45c19 (base 13) to base 10\nAnswer: 127279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 + 9. Suppose l + 5 - 37 = -2*j, -2*j - 3*l = -24. What is the least common multiple of 27 + ((-4)\/4)\/u and j?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 5*w - 9 = 0. Is w - 0 - -191 - 3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/11, 1, 2\/7, 75\/7, -142, 25\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -443 + 448. Suppose 22*f - 17*f - 1721 = -2*w, 4*f = a*w - 4385. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -3*y - 4. Let s be 3\/((-12)\/(-20)) - 3. Let l(t) = -t**2 - 4*t - 5. Calculate s*l(f) - 3*h(f).\nAnswer: -2*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -597 - -599. Let u = -36 - -78. Calculate the greatest common divisor of d and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 d when two letters picked without replacement from {b: 1, d: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 823 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1*(39 + -65 - 1)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 - 5421?\nAnswer: -5422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1)\/3)\/((-5)\/45). Let o(q) = q - 2. Let r(j) = -j + 1. Determine y*o(d) + 4*r(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 102964 = w + 4*w, w + 4*g - 20576 = 0. What is the highest common factor of 104 and w?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -400519026+-0.6418\nAnswer: -400519026.6418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, -508, -5, 0, -3, -2 in decreasing order.\nAnswer: 0, -2, -3, -5, -17, -508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2\/4)\/(1\/12). Let t be 3 + 76 + -3 + 4. Suppose j - b*j = -t. Solve -3*g = 5*u - j, 4*u + 2*g = 3*u - 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28.2*-0.8\nAnswer: -22.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 5*n = -15. Let y be 20\/15 + (-32)\/n. Let x(p) = -y*p + 7*p + 3*p. Let u(v) = -3*v. What is u(x(l))?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 21 = -5*t, 26 = -0*c + 3*c + 4*t. Find the second derivative of -c*r - 4 - 3*r**3 + 4 wrt r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9062?\nAnswer: 2, 23, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 240718801 to the nearest 100000.\nAnswer: 240700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 44\/1188*585 - (-1)\/3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes after 12:07 AM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 3 - 3)*(-1 + 2*v**4 + 1) + (3*v + 11*v + 4*v)*(0*v**3 - 3*v**3 + 2*v**3).\nAnswer: -20*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**2 - 7*q - 18. Let m be c(-18). What is the common denominator of (23*(-2)\/m)\/((-123)\/164) and -32\/3?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 781468.5 kilometers?\nAnswer: 781468500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1402 - -1410. What is the lowest common multiple of 2252 and s?\nAnswer: 4504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 42559?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 8481773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the third derivative of -s**6\/120 - s**5\/6 - s**4\/3 - 60*s**2. What is k(-9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2244 > 2246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**2 - 2*t - 2. Let f be b(3). Let c be 0 + -2 - (13 + -28). Suppose c*d - 23*d + 10 = 0. What is the greatest common divisor of d and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 5, 224, 4, -3 in decreasing order.\nAnswer: 224, 5, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q**2 + 33 + 87 - 5*q**2 + 2*q**2.\nAnswer: -2*q**2 + 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -18?  (a) 0.4  (b) -1  (c) 112\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-3)*p)\/(p\/(p**(3\/4)*p))*(p\/(p*p*(p\/p**(-4))\/p))\/p**1)\/((p**(-1\/2))**14\/((p\/(p**(-8)\/p))\/(((p*p\/(p**(3\/7)\/p)*p)\/p)\/p))) assuming p is positive.\nAnswer: p**(229\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the second derivative of f**4\/12 + f**3\/3 - 3*f**2\/2 + 36900*f. Suppose -3*v - 11 = 5*w - v, 2*w = 5*v - 16. Determine a(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2803078*y + 4010871?\nAnswer: 2803078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((10 - 2) + -2)*-1 + (-338)\/(-169). Sort i, 2\/5, 5\/8, 4 in descending order.\nAnswer: 4, 5\/8, 2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2923 = -32*y + 3595. Let o(k) be the second derivative of -y*k - 2\/9*k**3 + 0*k**2 + 0 - 1\/18*k**4. Solve o(x) = 0 for x.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 16428*b + 1412821. What is a(-86)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5*64\/(-48)*1*12\/(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 602.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 292 and 4.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 161653324 + -5?\nAnswer: 161653316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -55*n**3\/6 - 16*n**2 - 9*n\/2 + 7\/3.\nAnswer: -(n + 1)**2*(55*n - 14)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4728*h - 302400 = 1795*h + 677*h for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes after 11:45 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 4 + 4*k - 2 + 2. Let x be l(-3). Let m = 14 + x. Calculate the smallest common multiple of m and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-38*m - 29*m + 30*m)*(4 + 6 - 4).\nAnswer: -222*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 2*r. Let n(d) be the second derivative of -30*d**3 - 545*d. Determine l(n(p)).\nAnswer: -360*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o - 2*n + 30, -10 = -2*o - 5*n + 10. Calculate the remainder when 29 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 1182 = -3154. Let x = h - 1357. What are the prime factors of x?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 + 3*g**2 - 3*g - 12. Let h be o(-3). List the prime factors of 1*(-1)\/((-3)\/(-981)*h).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -180667*r**2 - 13406 with respect to r.\nAnswer: -361334*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 76.63 - 81.6. Let f = -16 - -11. Let u = f - k. Is u at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6176 is divided by 255.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 187769999*f. Let u(s) = 2*s**2. Determine q(u(a)).\nAnswer: 375539998*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 46404 or 46502?\nAnswer: 46502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (12*h**3 + h**3 - 6*h**3)*((4 - 4 + 2)*(4*h + h - 3*h) - 20*h + 45*h - 76*h + 3 - 3 + 2*h) to m*h**3 + c + x*h + f*h**4 + n*h**2 and give f.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3 - (-105)\/(-27) - 20460\/(-2970). Solve -5*l + 3*a - f = -2*l, 3*a - 8 = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b - 5*c - 55 = -3*b, 4*c + 12 = 0 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (260\/416*64)\/((-5)\/5)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1734729 is divided by 3273?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes after 4:51 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 106\/25  (b) 2  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 52 + -52. Solve -5*i + 7*i + 8 = v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2 - 551.6.\nAnswer: -551.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55\/36 and 49\/38373.\nAnswer: 460476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-29)\/(522\/(-432))*2*(-5)\/15.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 417 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.13 - 43618814233?\nAnswer: -43618814232.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/4)\/(1\/((-48)\/2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 98 - 243. Let l be 0 + 2 + 1 + 10. Let b = l - n. List the prime factors of b.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19937 is divided by 289?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 362 + -126?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 5, s: 1, n: 2, b: 2, z: 2, h: 8}. What is prob of picking 1 z and 1 h?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*m**2 - 10 + 10*m**2 - 7 - 10*m**2.\nAnswer: -3*m**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 48090901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*c + 580 - 552 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10976 divided by 8.\nAnswer: -1372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.06, 2, -3, -2, 2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ruj when three letters picked without replacement from {i: 1, r: 1, t: 1, j: 1, u: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 495244 + d?\nAnswer: 495251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 120*x**2 - 35. Suppose -711 = 28*j + 269. Let m(k) = -7*k**2 + 2. Calculate j*m(z) - 2*r(z).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 1752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (36\/48)\/(4\/(-80))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ooohbhhhb. What is prob of sequence bob?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-16)\/36)\/((-31)\/279). Solve -3*t = 3*a, 24 = t - 3*t + x*a for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 30*m - 2*m**3 - 30*m - 1 + 3*m**2 as y*m + u*m**3 + s + p*m**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/186420 and -71\/15?\nAnswer: 186420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**2 - o - 48. Give j(0).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-119)\/(-595))\/(((-36)\/(-15))\/(-3)). What is the second smallest value in 0, -1\/33, w?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6009263 is divided by 522.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-318)\/15 + 21)*1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 66\/(-72)*-4 - 2. Let j be (1 - 1)*(-2)\/(-4). Which is the third smallest value?  (a) q  (b) 1\/5  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the second derivative of 83*q**4\/3 - 9*q**2\/2 - 25*q. Is i(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9920443?\nAnswer: 13, 763111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 27, 90, 217, 438, 783, 1282, 1965, 2862?\n\"Answer: 5*b**3 + 2*b**2 + 22*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-17)\/(-17) + 6\/(-4) + -1.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -54.9 from 1.\nAnswer: 55.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 76\/5 of a milligram?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 211.81098 months in centuries?\nAnswer: 0.17650915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 2252*t + 104724. Calculate x(-47).\nAnswer: -1120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t + 93 + 347 = 0. Let q = 50 - t. Is q a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 65 - 416524?\nAnswer: -416426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10724848 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 2*i - 12 = 0, -2*f + 6*f = -2*i + 14. Suppose d + 3*u = 16, f*d - 4*u + 24 = 4*d. Solve -d = 2*s - 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*b + b + 2*b)*(231 + 140 - 49)*(-3 + 3 + 4*b) in the form w*b + j*b**2 + y and give j.\nAnswer: -2576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1380259700 to the nearest integer?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4541238 + 4541238 + k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.098, 10\/3, -0.2, 7\/2?\nAnswer: 0.098","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -111074 + 111074 + 4757*s**2 + 1758*s**2.\nAnswer: 6515*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the first derivative of z**4\/4 + 14*z**3\/3 + 6*z**2 - 9*z + 5. Let c be q(-13). Find the second derivative of -5*s - 5*s**4 - s**c - s - s**4 wrt s.\nAnswer: -84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*m**3 - 11*m**3 - 4*m**3)*((5*m - 2*m - 2*m)*(-1 + 1 - 1) - 2*m - 3*m + 3*m) + 4*m**4 + 2*m**4 - 4*m**4 + (46 - 34*m**2 - 46)*(-2*m**2 - 3 + 3).\nAnswer: 67*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 - (1 - (-9 - -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -2*q + 8. Let t(h) = 4 + 1 - 2 - 2. Let y(b) = -r(b) + 5*t(b). Let j be y(4). Solve 12 = -4*p + j*o, p + 0*o - 14 = -3*o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3377.046 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the first derivative of -10 - 14*q + 25\/4*q**4 + 0*q**3 + 0*q**2. What is the derivative of u(c) wrt c?\nAnswer: 75*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 55\/(165\/(-54)) - -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 136*b**3 - 1516*b**2 + 234*b - 3. Give n(11).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5625320*w - 3900 = -5625242*w for w.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l + 6*d - 42 = 117, -4*d + 18 = l + 47 for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -672*x**5 - x + 304.\nAnswer: -13440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -3*b + 3, 4*f = 2*b + b - 8. What is the third biggest value in -2\/7, -7\/2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84 = -26*l - 53*l + 37*l. Solve 3*g = -4*a - 2, l*a - 18 + 6 = 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddw when three letters picked without replacement from waakaddddaa?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, a: 3, d: 1, i: 2}. Give prob of sequence zi.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.34, -3, 0.6, -0.1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (13880\/5552)\/(10\/(-228)*-1)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the third derivative of a**4\/6 + a**3\/3 - a**2. Let d = -5641 - -5644. Let i(g) = -1. Determine d*i(b) + q(b).\nAnswer: 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (4664 - 2313 + 2*o - 2151)*(-1 - 3 + 2) in the form d + q*o and give d.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22, 27, 42, 73, 126?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/(-6)*(-12)\/28.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*s = 7878 + 11058. Suppose 2*n + s + 281 = d, 2*n = -5*d + 6689. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -10 + 1. Suppose 4*r - 7*r = u, 0 = -w*r - 4*u. Suppose 2*j + r = 10. Solve -3*n = -2*x - 2*n - 6, 3*x + j*n - 4 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 87\/2 of a decade in months?\nAnswer: 5220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 145 - 1?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**3 - 2*z**2 + 6*z - 73. What is m(0)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1052\/3339 + -14\/477. Which is the nearest to 18?  (a) -5\/3  (b) r  (c) -3  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2)*2*1 + -1 + sqrt(8)\/sqrt(4))**2.\nAnswer: -6*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -1  (c) -2\/5  (d) 2\/5  (e) 0.1  (f) 1555\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 38 + -33. Solve 5*q - 2*z = -0*z + 25, -4*q + v*z + 37 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = -5*c - 3*q, -c + 3 = 2*q + 3*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.97 * 16.7.\nAnswer: -49.599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 7*w**3 - w**2 - w - 1. Let a be c(-1). Let y(z) = z**2 - 9. Let k be y(a). Suppose 5*r - k = 15. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the second derivative of u**8\/36960 - u**7\/4620 + u**6\/1320 - u**5\/660 - u**4\/3 + u. Let j(p) be the third derivative of r(p). Solve j(b) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1388 - -1392. Solve -k*d + 4*i - 9*i + 35 = 0, 4*i - 12 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**2 - 2*l + 2. Let q be t(3). Suppose q*g + 48 = g. Let k be g\/(-54) + (-4)\/18. Solve 5*o + 20 = k, -5*x + 1 = o - 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-16)\/10*(-75)\/(-30)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -2*m**2 + m + 1. Let d be (1 - 1)\/(5 - (6 + -2)). Let c be 32\/(-40) - (d + 1\/5). Calculate v(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 256251394 and 246?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 2, -89\/4, 2\/9, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o + 46 = -229*s + 225*s, 16*s + 172 = 4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**3 - 6*h**2 + 5*h - 5. Let k(u) = -3*u - 2. Let d(l) = -13*l - 9. Let c(q) = -2*d(q) + 9*k(q). Let o be c(-5). Suppose 2*w - o - 5 = 0. Give g(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2028 = 15*w - 19*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -325603*m - 1532. Is g(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24447 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 14 = -6*t. Let y(m) = -18*m**2 + 67*m**2 - 56*m**t. Let b(q) = -3*q**2 - 1. Let r(u) = -u**2 + 1. Let c(n) = -2*b(n) - 2*r(n). Calculate y(c(a)).\nAnswer: -448*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3 + 0)\/(30\/20). Solve -4*k + 9 = -5*h, h = 2*h + u*k - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 595 minutes before 11:47 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the first derivative of -y**3\/18 - 3*y**2\/4 - 33. Factor u(b).\nAnswer: -b*(b + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-150)\/(-45))\/(4\/6). Suppose -34 = -c*m + 6. Suppose -2*a - 2*n + 28 = 0, -4*a + 2*n + n + 70 = 0. Calculate the highest common divisor of a and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (36\/(-28) + 1)\/((-6)\/(-7)). What is the smallest value in 0.21, m, 2\/9, 4\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 2*k**3 - 2*k**2 + 3*k - 2. Let c be s(2). Let p(y) = -6*y**2 - 1 + 6*y**2 + 3*y**2 - y - c*y. What is the least common multiple of 7 and p(5)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -172 + 121. Let c = 50 + x. Do -1\/14 and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12 and 151428.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 88 a factor of 458658756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 5 = j + n, -2*n = -j + 5. Let g be (-1 + j)*(-3)\/(-3). Factor -2\/9*h**2 + g + 2\/9*h.\nAnswer: -2*h*(h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 217025749?\nAnswer: 313, 693373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -22342, -89379, -201130, -357601, -558798?\n\"Answer: -s**3 - 22351*s**2 + 23*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 276714311?\nAnswer: 23, 73, 164809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4*a**4 + 3*a + 105 wrt a.\nAnswer: 16*a**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*g + 69 = 5*g - 119. Let k(t) = -15*t**3 - 27*t + 27. Let s(m) = -2*m**3 - 4*m + 4. Give g*k(u) + 27*s(u).\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 2810*j**2 - 6*j + 734. Let p(b) = -2812*b**2 + 8*b - 737. Let d(w) = -3*p(w) - 4*v(w). What is the first derivative of d(a) wrt a?\nAnswer: -5608*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -8003 from 4.4612237305.\nAnswer: 8007.4612237305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3314 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.48 - 0.02. Let t = 3\/43 + -101\/215. Which is the nearest to t?  (a) -5  (b) 5\/4  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 42\/(-9) + (-5)\/15. Sort 4, y, 2.\nAnswer: y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 554516*o**2 + 711717*o?\nAnswer: 1109032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1986\/185 + -295487\/37. Let f = j - -7945. Let x = -30 - f. Which is the second biggest value?  (a) x  (b) -1  (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*h**3 + 3*h**3 + 3*h**4 + 4*h + h**4 - 4*h + (h**2 + 2 - 2)*(4 + 2*h**2 - 4).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.11 + 0.04. Let g = -1.15 + t. Let z = 1 + -1.3. Which is the nearest to g?  (a) -5  (b) z  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*g**4\/7 - 181354*g**3\/7 - 7925790*g**2\/7 - 4617638*g\/7 + 446684 = 0. Calculate g.\nAnswer: -43, -1, 2\/5, 18179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*n - 130 = 15*n. Round n to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1\/25))**(2\/53)*f*f\/(f\/f**(-46))*f*f**(-1) assuming f is positive.\nAnswer: f**(-59627\/1325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 11149260 divided by 5?\nAnswer: 2229852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 54 = 132. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k**5 + 138*k**4 - 2349*k**3 + 17886*k**2 - 55992*k + 40320 = 0 for k.\nAnswer: 1, 7, 10, 12, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 85, -45, -143, -209, -243, -245?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17360.043 months to decades.\nAnswer: 144.667025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 122 = 5*g - 3. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-60)\/400)\/(28\/56).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 1\/13415068?\nAnswer: 1\/13415068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 + -2. Let a(j) = 2*j**2 + 2. Let h(f) = -f**2 - 1. Let b(n) = 4*a(n) + 9*h(n). Let w(d) = 7*d**2 + 5. Determine y*w(k) + 6*b(k).\nAnswer: k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1.3 * -3.0857\nAnswer: 4.01141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(192) + (sqrt(192)*-2 - sqrt(192)) + 2 + sqrt(192))*-4 + -2*2*sqrt(192)*6)*-4)**2.\nAnswer: 40960*sqrt(3) + 1229824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 122294, 244093, 365892, 487691, 609490?\nAnswer: 731289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 995 divided by 8609\nAnswer: 995\/8609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u = 5*k + 15, 0 = -5*k - 2*u - 8 - 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 11105*d*g*o**4 - 2*d*g*o - d*g - d*o**2 - d*o + 13*g*o**3 - 2*g*o**2 - 6341*o**2 wrt o?\nAnswer: 266520*d*g*o + 78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/(-2)*4*(-115)\/(-161)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 19 = -2*p, -3*h = 3*p - h - 4. Let t(j) = -j**2 - 23*j + 56. Let r be t(-25). Sort 2, p, r in descending order.\nAnswer: r, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 2 = -7*v + 3*v, 2*g - 5*v = -16. Let m be (3 - 2) + (g - -134). Calculate the greatest common factor of m and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 157 divide 72929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the second derivative of 0*w**4 - 47\/2*w**2 - 1\/30*w**6 + 0 + 2*w**3 + 0*w**5 - 60*w. Differentiate s(n) wrt n.\nAnswer: -4*n**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**4\/5 + 3560648*c**3\/5 + 1584773211836*c**2\/5 - 3169557105624*c\/5 + 1584780333138\/5.\nAnswer: 2*(c - 1)**2*(c + 890163)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -6230 (base 7) in base 10?\nAnswer: -2177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 + -2341150052?\nAnswer: -2341150060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide (-116 - 4)\/(6\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -53 + 241. List the prime factors of u.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -68 - -87. Calculate the highest common factor of 152 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 513966431.\nAnswer: 11, 97, 481693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1001 + 1021210211022?\nAnswer: 1021210210021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 93*i**2. Let s(f) = -4*f + 500 - 500. Give n(s(l)).\nAnswer: 1488*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**2 - 7*k + 4. Let l be (-2)\/13 - 154\/13. Let c = -2 - l. Is v(c) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-82)\/(-84) - (-15)\/720*8\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the second derivative of y**3\/3 - y. Let x(p) be the second derivative of 0*p**2 - 2*p + 0*p**3 - 1\/12*p**4 + 0. What is h(x(o))?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 12) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 8*x = -108. Let l(g) = 8*g**2 - 80*g + 64. Let a(o) = -17*o**2 + 161*o - 126. Let i(d) = x*l(d) + 4*a(d). Factor i(p).\nAnswer: 4*(p - 18)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*p - 23024 = -26*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 5*x - 44 = 3*j, -5*j - 55 = 2*x. Let n = 28 + j. Suppose -5*f = -4*b + 13 - 62, f - n = -b. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the first derivative of -17*a**5\/5 + 25*a**4\/2 - 31*a**3\/3 - a**2 + 1741. Determine z so that w(z) = 0.\nAnswer: -1\/17, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(390)\/(sqrt(20)\/(sqrt(6)\/sqrt(3))))\/(-3*(sqrt(3) + (sqrt(3) + (-3*(sqrt(12) + sqrt(3)) - sqrt(3)) - sqrt(3)))).\nAnswer: sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/65)\/(10506\/(-5356))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -19 - -28. Which is the second biggest value?  (a) -2\/3  (b) -0.3  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1, -86, 4, 120 in ascending order.\nAnswer: -86, -3, 1, 4, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1349091154 to the power of 1\/4, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -3\/122?\nAnswer: -3\/122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14564 + -14564.01. Which is the nearest to g?  (a) 0.3  (b) -4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m. Let n be 0\/(-1) + 0 + 1. Let x be 4\/(n - (-6)\/(-4)). Let c(u) = -10*u - 2. Determine x*t(g) - c(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**11\/a**(1\/32) assuming a is positive.\nAnswer: a**(351\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(931) - sqrt(931)*4))**2 + (sqrt(931) + sqrt(931) + sqrt(931) + -4 + 4)**2.\nAnswer: -210*sqrt(19) + 16783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 - 1 = -2*u - 3*r, 0 = 5*u + 5*r - 30. Let v be ((-4)\/4 + 4)\/(u\/5). Suppose -5*f - 5*t - v = 0, f - 5 = 3*t - t. Solve -4*g = -3 - f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3448?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*g**4 + 37165*g**3 + 91958265*g**2 + 75433949055*g - 763572532050.\nAnswer: 5*(g - 10)*(g + 2481)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 4, q: 2, o: 3, a: 1, m: 2}. What is prob of sequence cm?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 34*t**6 - 2240354*t**5 - 263585093*t**2?\nAnswer: 4080*t**3 - 134421240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -p**2\/4 - 78095*p\/2 + 468579\/4 = 0.\nAnswer: -156193, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rhhh when four letters picked without replacement from {r: 2, h: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2996 greater than 2999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 4*h**2. Let p be (-5)\/10 - (0 + (-42)\/4). Let o(f) = -233 + 233 - p*f. Calculate o(m(k)).\nAnswer: -40*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + 4 = 0, -3*l - 11 = -75*a + 76*a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**3 - 20*h**2 + 20*h + 139. Let y be z(-21). What is the highest common divisor of 1312 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes after 4:37 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 983 divide 3367311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 153\/(98532\/184)*(1\/(-15))\/((-5)\/35).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes before 1:47 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 13.4 in 0.9, 0.07, 3, -4\/3, -2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 2*g + 0*g = 0, 5*g = 25. Let q be 1\/f + 697\/34. Let s = 29 - q. Solve 2*k + s = 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -28*r**2 - 839*r + 32. Let q be n(-30). Solve -q*a = u, 12*u + 22 = 7*u + a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 - 21*v**2 + 104*v - 23. What is x(7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - c**2 + 3*c**2 + c**2)*(576 - 132 + 1573 - 121).\nAnswer: 5688*c**2 - 1896","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -21*h**3 + 5*h**2 - 196*h + 29. What is v(0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -201177744, -402355490, -603533236, -804710982, -1005888728, -1207066474?\nAnswer: -1408244220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 679.376 + -679. Let r = t - 0.676. Which is the closest to 4?  (a) 2\/9  (b) 2\/11  (c) -2\/5  (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that c**3\/5 - 2*c**2 - 9763*c\/5 + 217672\/5 = 0.\nAnswer: -104, 23, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 2*i**2 - 8*i + 11. Let t be f(2). What is the greatest common divisor of t and 159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -50589088 + 50589082.7536366. Let z = l + 1.2463722. Let j = z - -4. What is j rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-94)\/987)\/((-5)\/((-45)\/6)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 495 and 14490315.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000092710656 rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 27, 3377, -11 in ascending order.\nAnswer: -11, 27, 3377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 199254 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**2 + 7*u + 3. Suppose 0 = 2*w + 4*x - 10, -4*w + 45*x - 50*x + 8 = 0. Let r(f) = -f**2 - 8*f - 4. Determine w*r(d) - 4*g(d).\nAnswer: -d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19793781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.13*0.069.\nAnswer: -0.07797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002246 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kwmmwmwmwwmtmwmww. What is prob of sequence www?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**3 + 16998*u**2 - 1274289*u - 1291290.\nAnswer: -3*(u - 5590)*(u - 77)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*j = 89*j - 168 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2419*(627\/95*-5)\/(3*-1).\nAnswer: 11, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20 + 19 - 39)*(-3*f - 3*f - 8*f) + (3*f - 3*f - f)*(-3 + 3 - 2).\nAnswer: 562*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes before 8:25 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cccc. What is prob of sequence cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16021?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -4  (b) 6  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*v + 18*v + 16*v - 83*v + 21*v + 13*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a = -3*v - 17 - 3, -12 = 3*v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -4*i, -5*u + i + 11 = -3*u. Let n = -2 - -6. Let z be n\/(-20) + (-52)\/(-10). Solve 0 = -t + u*x - 4, 2*t + 2 = -z*x + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**3 + 2*q**2 - q - 5. Let a be z(0). Let g = 0.82 + 0.18. Put a, 2, g in descending order.\nAnswer: 2, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**2 - 1. Let p(v) = -11*v**3 - 10*v**2 + 14*v - 81. Let z(g) = -6*g**3 - 5*g**2 + 8*g - 46. Let n(k) = 4*p(k) - 7*z(k). Give -5*b(q) + n(q).\nAnswer: -2*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-210)\/(-84)*(16\/(-10))\/2. Let v be (q - -2)\/((-18)\/(-18)). Is 47 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -25 - -10. Suppose 2*i + l = 4*l - 23, -i + 6 = 2*l. Let a = i - b. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -18289, -36576, -54863, -73150?\n\"Answer: -18287*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:20 PM and 5:29 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/4 - 879\/12. Let q = a - -77. Solve -q*u - 20 = -0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 238248.902939 - 238249. Let n = 84 - 83.903. Let i = n + u. Round i to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 0*a + 75 + 7*a + 68 - 136. Let v(b) = 44*b + 76. Let j(g) = 4*g + 7. Let u(l) = -32*j(l) + 3*v(l). Calculate -5*u(y) + 3*w(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 190.7 - 209. Let g = n - -18.224. What is g rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**3 - 10*l**2 - 14*l + 3. Let b be g(-9). Suppose -42*a + b*a - 42 = 0. Calculate the highest common divisor of a and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2*p + 3)*(3*p + 3*p - 5*p) + 5*p**2 + p**2 - 4*p**2 + 4*p**2 - 2*p**2 + 0*p**2 + (3 - 2 + 3)*(-9*p**2 + 8*p**2 - 7*p**2).\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11)\/6*198\/2904.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 610352 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 43425.18km?\nAnswer: 43425180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/375  (b) -3  (c) 4  (d) 5  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-10)\/(-4) - 2)*0. Suppose q = 3*j + 4, -4*q - 3*j + 1 = -0*j. Suppose -53*m = -48*m - 25. Put m, t, q in increasing order.\nAnswer: t, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -8 and -0.07.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14860 and 45544414.\nAnswer: 1486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 12 - (-1 + (0 - -1)). Suppose -b = -0*k - 3*k. Let m(n) = -n**3 + 4*n**2 - 1. Let z be m(k). Which is smaller: z or 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -31737452, -31737453, -31737454?\n\"Answer: -o - 31737451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h**2 + 2300*h + 1919742 = 0. What is h?\nAnswer: -561, 1711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (20\/18)\/(5*12\/(-630)). Let b = q - 7\/12. Find the common denominator of 139\/12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 8*g + 1. Let a(p) = 6*p + 167. Let u be a(-27). Let b(i) = 17*i + 2. Determine u*o(s) - 2*b(s).\nAnswer: 6*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 1 d when three letters picked without replacement from dhhhmhm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-12)\/(-16) - 9\/(-4). Find the third derivative of -6*f**2 + 5*f**2 - 6*f**4 + 2*f**g - 16 + 5*f**4 - 8*f**4 wrt f.\nAnswer: -216*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 3*l**2 + 6*l - 8. Let g be h(-4). Suppose 0 = -4*q + f + 10, -2*q + 5*f = q - g. Solve -a = -4, 2*r + q*r + 2*a = 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*t + 201 = 41*t + 3*o, -2*o = 4. Let v = t + -203. Let i(l) = -l**2 - l + 1. Calculate i(v).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2 - 54*a + 1005*a**5 - 62*a - 282*a wrt a?\nAnswer: 20100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 24 and 183?\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = s - 0. Suppose 0*g + 45 = 2*g - 5*v, -3*g = s*v - 39. Suppose g*q - 6*q + 1350000 = 0. Round q to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 924\/17, 2\/5, 2\/23, -2, 0, 1\/32?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1753 - -2543. Suppose w = -2*v - 3*v. Is v\/6*(-90)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the first derivative of 29*f**2\/2 - 32*f + 31. Is 17 a factor of s(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s + 23 - 11. Does 10 divide (88 - -5)\/(s*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -829*l**2 + 273*l**2 + 277*l**2 + 275*l**2. Let s(a) = -8*a**2 + a. Calculate s(d(j)).\nAnswer: -128*j**4 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**2 - 79*y + 849. Is 2 a factor of q(76)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 27 = 5*u + 5, u - 10 = -2*f. Suppose -f + 0 = -k. Let r = -1.1 + 0.1. What is the closest to r in k, 5\/6, -4?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.578833 - 14933.38?\nAnswer: -14933.958833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*s - 115 = -28*s. Is s a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 5*x + 4*i, -x + 3*x = 3*i - 6. Let c(o) = -5 + 1 + 4*o - 5*o**2 + x*o. Let v(b) = 4*b + 0*b**2 - b - 4*b**2 - 3. Determine 3*c(a) - 4*v(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2*(3 - (1 + 1)). Let o be 1\/3*411\/(-2). Let b = -70 - o. Sort 0.3, g, b in descending order.\nAnswer: g, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 317 is divided by 24 - ((16\/(-6))\/(-4))\/(2\/3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*y**3 - 50*y**3 + 43*y**3 + 3.\nAnswer: -45*y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9625.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/50471 and 13\/10.\nAnswer: 504710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6\/5 + -29\/20. Let z = 33.6 + -33.3. What is the nearest to 0.2 in z, s, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -481*v**2 - 4344*v + 13. Calculate the lowest common multiple of r(-9) and 188.\nAnswer: 6956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1607*0.5.\nAnswer: 803.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 31204862 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 27*m - 70. Is 25 a factor of r(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 3*j - 20 = 0. Let a = j - 6. Is a\/5 - 231\/(-15) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/(-4)*120\/1400?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 4 - 0. Suppose -2*x + 8 = 2*x. Suppose x*s + 2 = -6. Sort 5, p, s in descending order.\nAnswer: 5, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -313*n - 1459 = 683*n + 930 - 397 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -45 or 2?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes before 3:59 PM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0, -10, -5 in increasing order.\nAnswer: -10, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -5*g - 78. Let r be y(-16). Let c = -80 + 117. Solve 0 = -r*j + 4*k + 26, 4*k - 14 = j - c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (56\/12)\/(2\/9). Suppose -5*d + a = 4*s, 2*d + s + 6 = 3*d. Suppose 0 = -l + 4*k - 1, 20 = d*l - 3*k + 8. Solve f + l*f - 20 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -95 - -159. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange v**3 - 19*v + 1 + 2*v**3 - 2*v**3 + 0 to g*v + o + j*v**3 + r*v**2 and give g.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 65 = 3*t. Calculate the remainder when 23 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a, 1 c, and 1 p when four letters picked without replacement from {c: 2, a: 1, f: 1, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 1 - (-3 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 156 + -101. Let o = 35 - 29. Suppose -3*l - o = -90. Calculate the remainder when j is divided by l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 243921491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**0\/g)\/((g\/((g*g**(-1\/2))\/g*g))\/g))\/(g*g**(-1\/4))**(1\/4)*(g**(-2\/9)\/g**(3\/4))\/(g*g*g**1)**32 assuming g is positive.\nAnswer: g**(-14063\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u = -j + 13, 75*j - 2*u - 6 = 153*j - 81*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*z - 8*z - 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2617571371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**2 + 1. Let s(p) = -7*p**2 - 6. Let x = -15 + 9. Calculate x*b(a) - s(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fk when two letters picked without replacement from {d: 1, s: 4, z: 1, f: 2, k: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**5\/3 - r**4\/3 - r**3 + 5*r**2\/3 - 2*r\/3.\nAnswer: r*(r - 1)**3*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-176175)\/(-63180) + 12\/26?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:34 AM and 2:17 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w = -3*n - 32, 366*w - 361*w = 5*n + 40 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 100, 278, 454, 628, 800, 970, 1138?\n\"Answer: -k**2 + 181*k - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -11.5567 != -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -45.963 + 1.963. What is the biggest value in k, 1\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - 1473?\nAnswer: -1476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 452081 is divided by 307.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -210 (base 3) in base 6?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 3849, 7778, 11709, 15642?\n\"Answer: a**2 + 3926*a - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 67, -17, -163.\nAnswer: -163, -17, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(352) + (sqrt(352) - sqrt(352)*-1) - sqrt(352)) + sqrt(352) + sqrt(352))\/(-1*sqrt(1100)))**2.\nAnswer: 128\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -760*x + 776*x + 128 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 17290060.7 rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17195*n - 13301*n = -11526*n - 531160 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6.3 + -4.4. Let b = h - 1.9. Sort -3, b, -0.5.\nAnswer: -3, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -486 = 29801*t - 29855*t. Solve 5*y = 3*v - t, 3*v = -218*y + 217*y + 27 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.1, -3, 2\/9, -18584, 2\/7, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -76973*g**4 + 110234 wrt g?\nAnswer: -307892*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + j = -2*o - 11, 5 = 2*o - 3*j. Let r = -190\/7 + 27. Let k = 2.1 + -2. Which is the nearest to 1\/4?  (a) k  (b) r  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 503.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 18\/(-36)*(0 - -1)*0 - 0. What is the closest to m in -2, -7, 5, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 24.9 + -20.9. Let w = -4 - -7. What is the closest to w in 1, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/480 and 59\/132.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -57 - -70. Differentiate -4 + 18*f - u*f - 17 + 15*f wrt f.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b - 1. Let r(c) = 5*c - 15. Let w(i) = -r(i) + 6*v(i). What is the remainder when 81 is divided by w(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 863 + 898 - 1761 + 9*s.\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 5, d: 9}. Give prob of picking 4 r.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q - 4*q + q + 2*q. Let p(l) = -l**2 + 3*l - 3*l. Determine f(p(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -6*y - 59. Let z be t(-12). What is the first derivative of 4 + 3 - 13 + z*p - 7*p wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let r = -3.1000165 + 3.1. Round r to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**3 - 16*n**2 + 35*n + 33. Let c be v(14). Suppose 116*u - c*u = 583500000. Round u to the nearest 1000000.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9425)\/(-9135) - (-8)\/(-7)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 114*(-7 - 51\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3286 - -3?\nAnswer: -3283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*o**6 + 31386*o**4 + 417034*o**2?\nAnswer: 480*o**3 + 753264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**2\/9 - 12652*p\/9 - 771680\/3.\nAnswer: -4*(p + 195)*(p + 2968)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes before 4:23 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 193904970 and 9233570?\nAnswer: 193904970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m + 34. Let b be v(-31). Solve -2*t - b*q - 8 = 0, -2 = t + q + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*w - 12 = -22*w - 3*v, 5*w = 5*v - 10. Put -4, w, 15 in descending order.\nAnswer: 15, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14 - -3. Suppose 14*o + 9 = x*o. Suppose b - 59 = 3*c, 0 = -b - o*b + 3*c + 227. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 811.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of 4*a**3\/3 + 3*a**2\/2 + a - 6. Suppose -u - u + 3*c = 13, 5*u + c = -7. Determine f(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 19, 8, -649, -5, 2 in descending order.\nAnswer: 19, 8, 5, 2, -5, -649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -29414*g**3 - 42947*g.\nAnswer: -176484*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 8407.483ns?\nAnswer: 0.008407483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 457954 + -255587. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 94003 + (-12)\/((-8)\/(-2)). What is o rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 506670*l - 1013342*l + 506674*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/8*304\/(-114). Sort 5, s, 4, -1.\nAnswer: -1, s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -3*n**3 + 2*n**2 + 2*n + 3. Let s(u) = 3*u**3 - 2*u**2 - 2*u - 3. Give -3*b(o) - 2*s(o).\nAnswer: 3*o**3 - 2*o**2 - 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 9377209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 224*b + 346*b = 389*b - 1086 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -7, 4, 0, 139 in decreasing order.\nAnswer: 139, 4, 2, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1611331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1577 + -63?\nAnswer: -63.1577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.027836 - 0.4771612?\nAnswer: -0.4493252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 + 12*m + 7. Let u be o(11). Suppose u + 6 = 6*b. Solve -b*s = -9*s + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*d**3 + 2*d**3 + d**3 - 14*d**2 - 3*d**3 + 14*d**2 + (0*d**2 - 2*d**2 + 0*d**2)*(d - d + d).\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -20*f + 85*f + 20*f + 69*f in the form b*f + j and give b.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*-820.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1179 in -4, 0.08, -0.9, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 11) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*k - 12*k**2 + 11*k in the form d + z*k**2 + p*k and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 82 + -79. Let r be ((-32)\/4)\/(5 - v). Let g(l) = -2*l - 3. Let c be g(r). Solve c = -5*h + 30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 56\/(-10)*(-450)\/126?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 + 8 + 8 + 2599*q + 8 - 25 in the form j + a*q and give a.\nAnswer: 2599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*m + 5*o + 20, -418*o + 414*o = 2*m + 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l**4\/3 - 98*l**3 + 1136*l**2\/3 + 392*l - 4576\/3 = 0. Calculate l.\nAnswer: -2, 2, 4, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 542\/201 or 3?\nAnswer: 542\/201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**3 - t**2 + t - 115. Let i be y(0). Is (0 - (-9)\/(-15))*i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**3 - 12*g**2 - 17*g + 13. What is the hundreds digit of u(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4334 by 4.\nAnswer: -2167\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -6566131 >= -6566126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + -4 + -2*sqrt(175) + -5 + (sqrt(175) - (sqrt(175) - (sqrt(175) + 0))) + -3)*-5)**2.\nAnswer: 3000*sqrt(7) + 7975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the second derivative of -7027*x**6\/30 - 5*x**3\/3 + 59*x**2 + 2282*x - 2. Find the second derivative of c(m) wrt m.\nAnswer: -84324*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 37 - 138b76?\nAnswer: -138b3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 48\/(-28)*(980\/15)\/(-7). Suppose 3*l + b + b - 11 = 0, 3*b = 3. Solve -f = -l*y - y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 6*m**2 - 5*m - 4. Let c(k) = 18*k**2 - 14*k - 11. What is 4*c(l) - 11*z(l)?\nAnswer: 6*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eammamaaes. Give prob of sequence aaes.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1912, -0.3, -0.6, -5, -2\/13?\nAnswer: 1912","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 56, -1, -2, 47, -8.\nAnswer: -8, -2, -1, 47, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -71*d**3 - 5*d**2 + 4*d - 2. Let p be s(3). Let b = 19532183\/10 + -1951277. Let j = b + p. Calculate the common denominator of j and 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 8) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1625 + -13. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the third derivative of 0 - 32*b**2 + 0*b**4 + 0*b + 1\/180*b**5 - 1\/18*b**3. Factor x(o).\nAnswer: (o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/96 and (-102)\/(-80) - (7 - (-28)\/(-4))\/(-1)?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5, 18, 37, 62, 93, 130?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -3*a**2 - 54*a + 4. What is f(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-24)*((-14916)\/2277)\/(-113)\nAnswer: 1\/138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -2\/17923  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49 = z + 5*s - 181, 9*s - 252 = z + 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**3 + 2*b**2 - 3*b + 4. Let q = -22 + 11. Let g(h) = -6*h**3 - 9*h**2 + 14*h - 20. Let u(d) = q*a(d) - 2*g(d). What is u(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.2, -0.3, -2\/15, 987807, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35046 = -470*o - 360*o - 232*o for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9 and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24764806.\nAnswer: 2, 11, 601, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -22, -95, -210, -361, -542, -747, -970?\n\"Answer: x**3 - 27*x**2 + x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15922051 is divided by 995128.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/107950 and 97\/50.\nAnswer: 107950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -x**5 + 12453*x**4 - 4409338*x**3 + 391633788*x**2 + 801004568*x = 0. What is x?\nAnswer: -2, 0, 182, 12091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 28 - 29.31. Let w = v - -1.3. Let d = w - -0.16. What is d rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 5169*a + 20688. Give b(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 221122 - 2102222?\nAnswer: -1111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 84 less than or equal to 253\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1553755 rounded to four dps?\nAnswer: -0.1554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -112*b**3 + 13*b**2 + 21*b + 61. Let n be f(-10). Suppose 15*c - n = -44406. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (216\/(-1026))\/((-3)\/57). Solve 2*m = a, -m - 21 = -4*f - 15 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 10172*f + 10895*f + 3 - 20934*f.\nAnswer: 133*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -226.744577 to 2 decimal places.\nAnswer: -226.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -8490775.159 rounded to the nearest ten thousand?\nAnswer: -8490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -7 + -3 + (-30 - (-53 - -29))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 369*k = -656*k - 13325 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 461771616 a multiple of 4982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes after 4:00 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 2024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 3*h - 7. Determine y(-7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1066*x**2 - 886*x - 2034*x**2 + 886*x.\nAnswer: -3100*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 34*d**3 - 22*d**3 - 40*d**3 - 39 wrt d.\nAnswer: -84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 344487329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (66\/5)\/(2\/30). Suppose 4*q + 2*q - y = 0. Let p(t) = -33*t + q*t - 5*t**2. Let w(h) = h. What is w(p(i))?\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 36288 and 8624.\nAnswer: 2794176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15244416, -15244415, -15244414, -15244413, -15244412, -15244411?\nAnswer: -15244410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**4 - 4*q**4 + q**4)*(7 - 1 + 0)*(-5*q + 2*q + q).\nAnswer: 24*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-8) - (23\/18)\/((-82)\/(-205))?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*i + 35 - 77. Put i, -4, -5, -2 in ascending order.\nAnswer: -5, -4, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 24*x. Let r(a) be the first derivative of -5*a**2\/2 - 3. What is r(f(i))?\nAnswer: -120*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 37109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 4, z: 3, e: 4, w: 7, u: 1}. What is prob of sequence eb?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -23515*m + 47469*m - 27429*m in the form p + n*m and give n.\nAnswer: -3475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**2 + 6*g - 32. Give f(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 3*g - 40. Let a be p(14). Calculate the remainder when a + 2 + (12 - -323) is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -2*n - 2. Give p(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0027555 rounded to 4 decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3526.651 litres in millilitres?\nAnswer: 3526651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 - 5. Let u(k) be the second derivative of k**3\/6 + k**2\/2 + 94*k. Determine u(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 - 22 = -2*u + 3*g, -4*g + 12 = -4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -93\/8 and 79\/85054?\nAnswer: 340216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 + 6. Let y(d) = -556*d - 18353. Let t be y(-33). Sort a, -2, 2, t in descending order.\nAnswer: a, 2, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -33132 (base 4) to base 3.\nAnswer: -1100200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 - 5)*(23 + 167*w - 6 - 17).\nAnswer: -501*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*l**2 + 6625*l.\nAnswer: -5*l*(l - 1325)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 542298961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4695 divided by 5.\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 7*v**3 - 6*v**2 + 55*v - 1099. Is i(31) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 24 - -14?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 7 - 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = 0, -4*c + d + 28 = 4*d. Let i be (-36)\/16*(-2 - -6). Let z = i - -11. What is the least common multiple of z and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -287c (base 14) in base 10?\nAnswer: -7166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 15500304 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3 + 3 + 2 + -5. Let k(l) = -l**3 - l**2 + 4*l - 5. Let s be k(f). Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 376, 740, 1102, 1462, 1820, 2176?\nAnswer: 2530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k - 11*k + 40. Suppose k*n = 4*v + 2067, -4*n + 0*n + 1652 = -4*v. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.9 + 6.1. Let z = h - 7.1. Let f be ((-6)\/21)\/(9\/7). Sort z, f, -3 in descending order.\nAnswer: z, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*c + 420 = 240. What is the remainder when 24 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 149*n**2. Let q(p) = 23358*p**2. Determine f(q(a)).\nAnswer: 81293828436*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 8, o: 1, p: 3, d: 6}. Give prob of picking 1 r, 1 p, and 1 d.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.16 + -22.34. Let y = m - -24. Let a = -3.5 - -3. Sort -3, y, a in descending order.\nAnswer: y, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/(-15)*(-15)\/(-6). Let j be 34\/(-3 + (n - -4)). Which is smaller: j or 18?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 4*l**2 - 45*l. Let a(q) = 23*q + 234. Let o(g) = -11*g - 108. Let c(i) = -6*a(i) - 13*o(i). Give c(x(j)).\nAnswer: 20*j**2 - 225*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 68405 is divided by 59.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttmmmmtmmttmmttmtmt. Give prob of picking 2 m.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -181*m - 179*m + 366*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -385*g**2*p**4 + 2*g**2*p - 378*g*p**5 - 2679040 wrt p.\nAnswer: -4620*g**2*p**2 - 7560*g*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 6 = 4*w - 3, 0 = 4*w + 8. Let k = 2 - -1. Suppose -2*q - 8 = 0, -3*g + 5*q + 20 + 3 = 0. Sort k, x, g in descending order.\nAnswer: k, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -129*d**2 + 129*d**2 + 7*d**5 + (4*d**4 - 4*d**4 + 2*d**4)*(-3*d - d + 3*d) + 2*d**2 - 2*d**2 + 2*d**5 + 0*d**5 + 4*d**5 - 10*d**5.\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 22370794 and 590?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -1\/22, -34\/5 in descending order.\nAnswer: -1\/22, -1, -34\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1629*a*p**5 - 3*a*p**4 + 4*a*p**3 - 2*a*p**2 + a*p + 218*p**2 + 1 wrt p.\nAnswer: 97740*a*p**2 - 72*a*p + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q - 8 + 10 + 8*q + 0*q + 2*q - 3*q + (q - 4*q + 5*q)*(-2 + 5 - 2) - 2*q + 5*q - 8*q - 21 + 21 + 6*q.\nAnswer: 9*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, a: 3, e: 4, d: 4, n: 1}. Give prob of sequence nee.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74 + 42 - 2*r - 203 + 47 + 40.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(425) + 0 + sqrt(425))*6 - (-2 + 4*(sqrt(17) + 0 + -5)))*2.\nAnswer: 42 + 112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 2, g: 16}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4975990, 4975987, 4975984?\nAnswer: 4975981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(0 + 1)*-1. Let h be 0\/(2 - m - 1). Let w(f) = -f + 211. Is w(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -179 - 7*n**3 + 8*n**3 - 2*n**2 + 84 - 2*n + 63 to the form c*n + m*n**3 + l*n**2 + f and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 17*d**2 - 1 + 5 + 0*d**2 + 7*d + d**3 + 2*d. Let q be x(-7). Suppose v - 455 = -2*v - 5*n, 0 = -3*v + n + q. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2953 + -2815. Solve -5*i = -153 + h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 + (160\/(-76) - 1). Do u and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*n**(2\/63)*n)\/(n*n**(-31\/4)*n))\/((n\/(n**(1\/50)\/n*n))\/(n*n\/n**(-17)*n)))**(-50) assuming n is positive.\nAnswer: n**(-168851\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*x = -17*x - 12. Let w(z) = -z**2 + 7*z - 3. Let o be w(4). Let h = o - x. Calculate the highest common factor of h and 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*q + 2*d, q + 5*d - 3*d = 8. What is the smallest value in q, 0.01, 5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-22)\/(-6) + -2)\/((-8)\/24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13503\/5 or -2701?\nAnswer: -2701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0\/1*(-5)\/(-50)*5. Put 1, m, 8, 2 in ascending order.\nAnswer: m, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -457 + 562 = 21*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (7 + (-2 - -1 - 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 2*l**3 - 79*l**2 - 478*l + 11316. Determine q(42).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 - 4.06. Let m = 39476.940027 - 39477. Let c = m - r. What is c rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**16)**(-1)\/(n**(-7\/5)*n\/n**(-2\/71)))**(22\/7) assuming n is positive.\nAnswer: n**(-122056\/2485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(1088) + -4 + 2 + sqrt(17)*-1)**2.\nAnswer: -14*sqrt(17) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(95)\/(-5*sqrt(20)\/sqrt(4)) - (-2 + (sqrt(228)\/(sqrt(300) - sqrt(12)))**2).\nAnswer: -sqrt(19)\/5 + 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4 + 0.0113.\nAnswer: -0.3887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 31 + -28. Suppose v = -3*v - 4*r + 2080, 0 = v - x*r - 524. Let q = v - 358. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -3*c**4 + 5247*c**3 - 104109*c**2 + 638649*c - 1120392 = 0.\nAnswer: 3, 8, 9, 1729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the third derivative of -r**5\/12 - 24*r**2 + 2*r. Let j(f) = -14*f. What is b(j(q))?\nAnswer: -980*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1223767 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the first derivative of 19*k**5 - k**2 - 2196*k - 2223. Differentiate g(i) wrt i.\nAnswer: 380*i**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11557\/287106 - 17\/439. Is x != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*t**4 + 5 + 5 - 8*t**4 - 2 wrt t?\nAnswer: -44*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 - 2*t**3)*(-3*t + 4*t - 3 - 2*t) to k*t + s*t**4 + h*t**3 + b + x*t**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**3 + 20*c**2 - 4 - 4*c + 2 - 14*c**2 + 0*c**3. Give j(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 2 d when three letters picked without replacement from dqqsdgqqgs?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 44 - 0?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.378 in 0.12, 14\/31, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1\/67 - -56\/737. What is the second biggest value in -2\/15, 11, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12736 - -37831. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**3 - 5*c**2 - 11*c + 16. Determine u(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1.2 or -48343\/4?\nAnswer: -48343\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.6?  (a) -34  (b) 5  (c) 0.1  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3160 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-14*c + 9*c - 7*c)*(-c + 0*c + 0*c + (-2 + 2 + 2)*(-6*c - 3*c + 4*c) + (-3*c + 4*c - 2*c)*(2 + 0 - 1)) as p*c + d*c**2 + k and give d.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -5. Let s(t) = t + 26. Let d(v) = v + 24. Let r(n) = -6*d(n) + 5*s(n). Determine -8*i(c) + 3*r(c).\nAnswer: -3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2.55 + -3. Let m = 2.8 + -2.3. Let o = m - b. Round o to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -300 - 14?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60720 = 1363*s + 661*s for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*h - 4*i - 10, -105673 = -h - 3*i - 105658 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from wikwkwzwwkziwwziw.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = 2*d - 4 - 1, 5 = -d. Suppose -b = -11*t + 10*t. Find w such that -2\/5*w**2 + 2\/5*w**t + 2\/5 - 2\/5*w = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14 + -12. Let k be 0\/(2\/(-2)) - q. Is ((-79)\/3)\/(k\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.1 + 0.2. Let c be (261\/6)\/(2 + 16). Let q = c + -11\/4. What is the closest to x in 1\/5, q, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 207*t**2 - 23*t - 6. Is l(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-21 + 13 - (-2 + -4)) - 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g + 6*g - g)*(-6*g**2 + g**4 + 6*g**2) - 38*g**3 + 48*g**5 - 41*g**3 + 81*g**3.\nAnswer: 50*g**5 + 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4170 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 141.5 + -141. What is the smallest value in t, -2\/9, 10, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5557 + 3926*v - 7755*v - v**2 + 3829*v to a + p*v + f*v**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -132*j**5*w**2 - 65*j**2*w + 6*j*w**2 + 314*j*w + 2*w**2 wrt j.\nAnswer: -2640*j**3*w**2 - 130*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*n = 2*y - 14*n - 17, -3*n = -2*y - 13. Which is the second smallest value?  (a) -3\/17  (b) 0.2  (c) 5  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 divided by 1830540\nAnswer: 2\/457635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/18515 and -19\/6785?\nAnswer: 1092385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-62)\/4)\/(4\/(-8)*-1). Let b = i + 19. Let z be 38\/4 + 6\/b + 0. What is the greatest common divisor of 45 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 9) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -3, -43, -4, -2, 84 in increasing order.\nAnswer: -43, -8, -4, -3, -2, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -228d (base 15) in base 13?\nAnswer: -3451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 186469093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 5, w: 3, v: 2}. What is prob of picking 1 w and 3 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3 or 81\/25?\nAnswer: 81\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -196 - -198. Which is the second biggest value?  (a) -3  (b) q  (c) -2\/3  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -80  (b) 0.382  (c) 1  (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 32 - 3 - (-1 + -8 - -18).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 - (2 + -1)) + 2. Let i be (3\/135)\/(6*(-6)\/(-216)). Which is the closest to 0.1?  (a) i  (b) 0.1  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 14 and 1164266?\nAnswer: 8149862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 214*i + 3350 = 13408 for i.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 7*o**2 + 165*o - 10. Is 4 a factor of a(-31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3\/7 - (10 + 12012\/(-98)) is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-332)\/(-3))\/((-2)\/(-3)). Suppose -5*w - c = -496. Suppose -3*s + 237 = w. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3463.688 rounded to the nearest ten?\nAnswer: -3460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 800 by -5.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**3 - 41*a**2 - 4720*a - 227705. Give j(-46).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (8\/10)\/(8\/20). Solve -4 = o*b - 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 6) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 573 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-24)\/(-9) + -2)*24. Let o be (-6)\/(-9)*6\/a. What is the nearest to -1 in -4, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 37.7092206 to 2 dps.\nAnswer: 37.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - ((-26)\/(-4) - 2)*(-84)\/189.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3.17 - -3.37. Which is the nearest to -0.1?  (a) i  (b) 0  (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (111\/(-6))\/(3\/(-12)). Suppose 4*t + c = -2*v, -5*t + 2*v - 47 = 59. Let l = 34 + t. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 7*n**2 - 9*n + 7. Let p be y(1). Suppose -3*m = 4*j - 139, 0 = p*m + 10*j - 5*j - 230. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15 - 17. Let y = t + 6. Find the third derivative of 0*o**2 + 4*o**2 + 14*o**y + 3*o**2 wrt o.\nAnswer: 336*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*f**2 - 5*f + 29*f**2 - 5*f**3 - 15*f - 12*f**2.\nAnswer: -5*f*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the first derivative of 98*k**5\/45 + 721*k**4\/9 - 2648*k**3\/9 + 1912*k**2\/9 - 512*k\/9 + 3366. Find l such that o(l) = 0.\nAnswer: -32, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*o + 43*o = -24. Suppose 3*q = 97 + 359. Calculate the greatest common divisor of o and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2)\/8)\/(4\/(-64)). Suppose -3*d = x - 13, 0 = -5*x - p + 9. Factor -20*n + 0*n**4 + 2*n**4 + 0*n**d - 20*n**3 - 30*n**2 - 5 - 7*n**4.\nAnswer: -5*(n + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1046.426 and 4?\nAnswer: -4185.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -r + r + 2*r**3 + (28 - 28 - 22*r**2)*(r + r - 4*r) + r**3 + 2*r**3 - 2*r**3.\nAnswer: 47*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29 is divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 145 - 630 + 123 - 16*k**3 + 13*k**3 + 239.\nAnswer: -3*k**3 - 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*((-248)\/1240)\/(-6*(-1)\/10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from agooyoookeoagogo. Give prob of sequence gyeo.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**3 + 4*h**2 - 6*h - 6. Let v be 10*(-8)\/32*2. What is c(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-1\/12)\/o*o*o\/(o*o**20) assuming o is positive.\nAnswer: o**(-241\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 171 and 3182804.\nAnswer: 28645236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 127 + -65. Let r = d - 78. Which is the second biggest value?  (a) 4  (b) r  (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-143 - 2038841\/(-14259))\/(-2)?\nAnswer: 2\/291","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30\/(-9))\/((-11)\/(-132)*-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -16*b**3\/5 - 1448*b**2\/5 - 1077*b\/5 = 0.\nAnswer: -359\/4, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 7025214 to the power of 1\/2, to the nearest integer?\nAnswer: 2651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -5 + 1 - 5 + 16*b. Let z be w(6). Suppose 4*j - z = -5*o, 2*o - 4*j = -7*j + 32. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -41 - -61. Suppose -4*v + c = 0, 3*m + 8 = 3*v - 1. Find the third derivative of -j**5 - 4*j**5 + 3*j**5 - m*j**2 wrt j.\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3906 - -6634. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) -1.6  (b) 2\/11  (c) 5  (d) 33  (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1276446, 1276448, 1276452, 1276458, 1276466?\nAnswer: 1276476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u + 3*v + 116, -9*v + 37 = u - 5*v. Suppose 31 = 5*d - 4*q, -3*d + q + u = -3*q. Are d and 40\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -4 + sqrt(5) + 1 + sqrt(5))**2 - (sqrt(15)\/sqrt(3) + -5 + 2).\nAnswer: -17*sqrt(5) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 195 and 5395.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -3\/2  (c) -0.070598  (d) 4  (e) -9  (f) 0.2  (g) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (3 - 3) - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 4854\/23, 0, 0.37, -2\/15, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 7, 4, 0.05, 3\/31, 3, -4\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2335)\/180 + (-1)\/4. Let w = 13 + i. Is w less than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -170*s**5 - 2*s**3 - 119*s**2 wrt s.\nAnswer: -10200*s**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 59 - 42. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b**2\/7 - 1070*b\/7 + 1072\/7 = 0.\nAnswer: -536, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1047, 2127, 3223, 4341, 5487, 6667, 7887, 9153?\n\"Answer: w**3 + 2*w**2 + 1067*w - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/6*-2*(-18)\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31 + 3303 + 1095 = 150*w - 47*w for w.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(88) + 2*2*sqrt(88) + (sqrt(88) - (1*sqrt(88) - sqrt(88) - sqrt(88))*3))\/((1*(sqrt(72) + sqrt(72)*2 - sqrt(72)))\/sqrt(9))*5.\nAnswer: -4 + 45*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tfzjafajajjjuaajjaaj. Give prob of picking 3 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 282\/(-14) + -865 + 885?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*((-39)\/12)\/((-19)\/(-38)).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (14\/(-8)*12\/120)\/((-15)\/(-12) + -1)\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1344 and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-10)*((-2548)\/336)\/91?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 - 5*v**2 - 19*v - 37. Calculate x(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-5174)\/(-65) + 2\/5 + 0. Let k = n - 72. Let o be 2\/((-2)\/k + 4\/8). Calculate the greatest common divisor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 168425953.\nAnswer: 17, 1181, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**2 + 4*g + 2. Let z(d) = -d + 8. Let j be z(7). Suppose 5*f - j = 9. Suppose 4*q = 18 - f. Give v(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 76 is divided by 72?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16189*s - 16187*s - 2*s**2 + 51 + 16*s**3 + 0*s**2 to the form x*s**3 + n + u*s**2 + r*s and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (9 - 9) + (0 - (-4)\/8) - 15\/42\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the third derivative of -u**6\/240 - u**5\/20 - 5*u**4\/48 + 38*u**2. Factor h(i).\nAnswer: -i*(i + 1)*(i + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 147167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of 3\/2*h**6 + 0*h**3 + 27\/14*h**7 + 1\/3*h**4 - 8\/5*h**5 + 0*h**2 + h + 0. Solve d(g) = 0.\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**2\/5 - 216*j\/5 + 444\/5.\nAnswer: -3*(j - 2)*(j + 74)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 19462 + -16221. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/((-5)\/(-2) - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 0.003, 7, 19 in decreasing order.\nAnswer: 19, 7, 0.003, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-126)\/(-154)*(5*(-12)\/30)\/6?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**3 + l**2 - 24*l - 14. Let t be p(8). Calculate the greatest common factor of 20 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40683 + 4*w**2 - 40683.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 9*d**2 - 4*d + 58. Let y(k) = -k**2 + k - 15. Let m(r) = j(r) + 4*y(r). Let g(t) = t**2 - 1. Determine 4*g(v) - m(v).\nAnswer: -v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * -61\nAnswer: -6.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 127 in 60, -3\/2, 3, 9, 5?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 936.2745g?\nAnswer: 0.0009362745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 767 and 57256373?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from duuiuudiueuttuieutu. What is prob of sequence ti?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 234 = -954. What is the least common multiple of 108 and q?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 72 + -63 - (-4 + -4).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 - (-3 + 1 - -1). Let x be (1 + 3 - 2) + s. Suppose x*j = -54 + 19. Is -7 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -196400 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 10*w**2 + 27411*w - 468857. Give i(17).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l, 1 e, and 1 k when four letters picked without replacement from eelewkllelllelvv.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 274.62 + -271. Are -2\/3 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-135)\/(-4) + 4\/16. Suppose 26 = n - d. Suppose -2*l = 0, -2*f + 0*l = 2*l - n. Solve 11 - 3 = -4*g - 4*z, 3*z + f = 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/28 + 30\/(-28)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 2 + -11 - (-47 - -41).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-3\/5)\/b)\/b*b**(2\/3)*b*b**(-4)\/b**(-1\/4) assuming b is positive.\nAnswer: b**(-281\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1039487.148 microseconds in weeks?\nAnswer: 0.00000171872875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 4 - 12 - 2*q**3 - 6*q**2 - 4*q - 5*q + q**3. Let p be k(-8). Suppose 5*m - m - p = 0. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -199 + 200. Put 3, d, 5 in increasing order.\nAnswer: d, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -40542021 + -1?\nAnswer: -40542022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**2 + 2*w + 5. Let k(t) = -3*t**2 - 7*t - 14. Calculate 8*a(j) + 3*k(j).\nAnswer: -j**2 - 5*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*b - b - 2*b + (3*b - b + b)*(2 + 3 - 6).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/22 - (-109 + 31450\/550)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2297, 0, 0.3, 892\/5 in decreasing order.\nAnswer: 892\/5, 0.3, 0, -2297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x - 4*j - 11, 2*x + 2*j - 7 = x. Suppose -2*d + 4*n - 282 = 0, d - 4*n + 152 = x. What is d rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**3 + f**2 - 1. Let h(y) = -2*y**3 - 2*y**2 - 2*y + 1. Let z(k) = -h(k) - 3*v(k). Suppose -35*t + 8 = -39*t. Let u be z(t). Solve -m - u = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 81*u - 114875 + 109853 for u.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 70217930 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the second derivative of 5*s - 1\/3*s**4 + 0*s**2 + 11\/10*s**5 + 0*s**3 + 0 - 3\/5*s**6. Factor d(p).\nAnswer: -2*p**2*(p - 1)*(9*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 107 + -114.7. Let j = -8 - g. What is the closest to 1\/3 in -1, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 3*b = 13, 4 = -3*q + 3*b + 31. Suppose 2*c + 2*c + 56 = 4*v, q*v - 3*c = 60. Solve -5*f = 2*g + 29, -3*g + g = f + v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 273 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11\/(110\/50)*(-18)\/(26\/13)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -180*s = -201*s - 84 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 42 = -12. Let l(w) = -2*w**3 + 14*w**2 - 10*w. Let h(f) = f**2 - f. Let m(p) = c*h(p) - l(p). Let m(o) = 0. Calculate o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -3*k - 23. Let w be u(-10). Suppose 249 = 3*z - 2*v, 3*v = -2*z + w*v + 166. What are the prime factors of z?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -370*g = -365*g - 200. What is the third derivative of -151*c**2 + g*c**5 + 16*c**2 + 83*c**5 wrt c?\nAnswer: 7380*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -3, -4 in increasing order.\nAnswer: -4, -3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 312490 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0.7, -0.1, -33, 2\/15, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 52669 and 2108?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 37330123 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 2*l**2 - 137*l + 462. Determine y(65).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than 30\/3363433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12708950 and 800.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 754338 and 988?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 103324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2010 (base 6) to base 4.\nAnswer: 12312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62\/3*1*9?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:46 PM and 7:32 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5446039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3773 and 308.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xw when two letters picked without replacement from {x: 1, w: 1, b: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8165*j + 0*j**2 - j**2 - 24499*j - 6*j**2 + 8166*j + 8168*j + 5.\nAnswer: -7*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 5508\/(-1088)*8\/(-6)*2*(-1)\/(-6)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 58 - 88. Let r be p\/(-12) + 1\/(-2). Suppose 2*g = 4*d - 6, 3*d - 5*d + r*g = 0. Which is smaller: 4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 56 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -17*n - 446. Calculate r(-26).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*q + 2*r - 22, -9*r + 12*r - 3 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 0.3, -427, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -2*t**3 + 64*t**2 + 216*t - 64. List the prime factors of q(34).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 156*y + 292*y + 115*y + 75 + 5 wrt y.\nAnswer: 563","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -103 (base 16) to base 8\nAnswer: -403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 6*w**3 - w**2 + 3*w - 1. Let a be y(1). Suppose 36 - 36 = -48*f - 20*f. Solve a*n - 3*n + 16 = f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -273 + 275. Solve -p*n + 8 = 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x + 3*b + 18 = -7*x, 5*b = 4*x + 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**2 - 6*f + 9. Let b be c(-7). Solve -k = k + b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (4 - 1) + (0 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 109 + -222. Let z = 108 + t. Let n(h) = -h**2 - h + 6. What is n(z)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the third derivative of -j**4\/24 - j**2. Let b(n) = n. Let l(i) = -i. Let u(a) = -6*b(a) - 13*l(a). Give u(w(x)).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 at most 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 931307390*k**5 - 122*k**2 + k - 5840.\nAnswer: 55878443400*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1486976179?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (8\/(-48))\/(2\/(-24)). Solve 3*m = -k - u*k + 9, -16 = -2*k - 4*m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, x: 10}. What is prob of picking 2 p?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 3, f: 3, j: 2, k: 5}. Give prob of sequence kfk.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -10, -308, -600, -886, -1166, -1440?\n\"Answer: 3*o**2 - 307*o + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 143162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 474420 = 12*i + 111888. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:50 AM and 11:52 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**2\/11 + 337870*p\/11 - 1351512\/11.\nAnswer: 2*(p - 4)*(p + 168939)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4647 - -153349\/33. Does -14 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6\/107  (b) -41\/4  (c) 0  (d) -5  (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 21086710.\nAnswer: -3\/21086710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w - 20*u + 23*u + 9 = 0, 0 = 5*w - 5*u - 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -5. Let r(b) = -2. Let n(u) = 3*a(u) - 8*r(u). Let g(x) = -x + 6. Determine -g(t) + 3*n(t).\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.4*-15987709.\nAnswer: 38370501.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -202*i = -200*i - 4*u - 40, u = 3*i - 35. Calculate the greatest common factor of i and 1160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**6)\/(a**4*a))\/((a**(-1)*a)\/(a*a*a**6)) assuming a is positive.\nAnswer: a**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 + 1210?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2)\/5)\/((-10)\/150). Let g = 5 - a. Is ((2 + -141)\/g)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert b6aa17 (base 12) to base 10.\nAnswer: 2880307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 18\/11*(-16)\/(-24). Let k = -167\/22 + o. Let n = -6 - k. Which is smaller: n or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*79046\nAnswer: 39523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -13 - 31*z**2 + 19*z**3 - 43*z**3 - 63*z + 23*z**3. Let a be p(-29). Calculate the greatest common divisor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + -6 + 6 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.0557 - 0.0543. What is the fourth biggest value in 3\/4, 5, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 1067 = 4*v, 4*p = -p + v + 5335. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3 - -3)\/((0 - -2)\/1). Let p = -104 + 109. Let h be p\/((-4935)\/1988) - 2\/(-1). Is l less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the second derivative of -c**6\/36 + c**5\/120 - c**4\/2 + c**2 + 119*c. Let j(r) be the third derivative of k(r). Let y(m) = -4*m. Calculate y(j(b)).\nAnswer: 80*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 7 - -263?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8*m + 1014 - 1014)*(4 + 0*m + m - 2*m) as g + t*m + l*m**2 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1699679 + 994649. What is l rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 4*a**2 - 2. Let y(w) = 1. Let d(s) = -b(s) - 2*y(s). Let z(v) be the second derivative of 10*v + 0*v**3 + 0*v**2 + 0 + 1\/6*v**4. What is z(d(l))?\nAnswer: 32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the second derivative of -5*o**4\/24 - 5*o**3\/6 - o**2\/2 - o. Let c(f) be the first derivative of y(f). Let s be c(-4). Solve -2*n + s = -5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 59*m**3*y**2 + m**3 + 2*m**2*y - 8*m - 2*y**2 wrt m.\nAnswer: 354*y**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 4 - 1)*((-3 + 6 + 0)*(2*j - 4*j + j) + 5*j - 3*j - 4*j)*(-1 + 0 - 2) to the form a + w*j and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -g**4\/3 + 383*g**3\/3 - 18011*g**2 + 3341165*g\/3 - 76619458\/3 = 0.\nAnswer: 83, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1110 (base 2) to base 7\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(0 + (sqrt(567) + sqrt(567)*-3)*-4))**2.\nAnswer: 580608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 434923 less than 156124?\nAnswer: -278799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 36466 - 208.51\nAnswer: 36257.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 o, and 2 i when four letters picked without replacement from {f: 1, o: 3, h: 2, w: 4, i: 6}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -59 + 55. Sort 14, -5, b, 2 in descending order.\nAnswer: 14, 2, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 340 and 204?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -43, -1, -2\/7, 1.5.\nAnswer: -43, -1, -2\/7, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 6, 3*m - 6*u = -9*u - 6. Calculate the lowest common multiple of (-21 + 16)\/(2\/m) and 41.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(3*(sqrt(567) + 0 + sqrt(567)) + 4 + sqrt(567) + 2)*6*4*-1.\nAnswer: -7560*sqrt(7) - 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 205191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -12755 - -29250. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34256 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(450))\/(1*sqrt(6)*1).\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -12528640*a*c**2*x - 2*a*x**2 + 49*c**2*x**2 - 1227*c**2*x + c**2 + 35*c*x + 3*x**2 + 1 wrt a.\nAnswer: -12528640*c**2*x - 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2878229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + 41*l = -44 + 1939, -5*y - 4*l - 7 = -206 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.4308 or -9?\nAnswer: 0.4308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -193502, -191693, -189884, -188075, -186266, -184457?\n\"Answer: 1809*z - 195311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -3832*c + 23. Let j(o) = -6*o. Calculate j(a(l)).\nAnswer: 22992*l - 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -61 + 76. Solve -2*n - y = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3.2974 + 0.2974. What is the smallest value in h, -5.25, 1\/3?\nAnswer: -5.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 27740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -700*u - 26670 = 529*u - 340*u for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2136364097?\nAnswer: 7, 103, 541, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 192022 is divided by 185?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u + 5*z = 10*z + 5, -u - 2*z = 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/688750 and -63\/21964.\nAnswer: 398097500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes after 3:22 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dxdj when four letters picked without replacement from {x: 4, d: 2, j: 3}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 171 and 0.63?\nAnswer: 170.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -5*1*-2*4\/8. Let q(u) = -u**2 - 1. Let f(c) = 2*c**2 + 8*c - 7. Let r(g) = f(g) + 3*q(g). Let w be r(k). Solve o - 3 + w = 3*s, 6 = 3*o + 3*s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*w + 4*w = -42. Suppose w*j = -87 + 6. Let o be ((-6)\/j + (-40322)\/9)*1250. Round o to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2, -58, -140, -260, -430?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002513 rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the third derivative of p**7\/35 + p**4\/4 + 5*p**2. Find the second derivative of t(n) wrt n.\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 201 divide 500691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*((-1)\/24)\/(104\/312).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 25688 - 25683. What is the nearest to 0.2 in 4, u, 1\/3, -0.39?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 339020 = 17*d + 339088 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 4) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -45*m - m**2 - 18 + 18 + 7*m in the form q*m**2 + c + o*m and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2, 218 in ascending order.\nAnswer: -2, 2, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(300)*-3)\/(sqrt(6)*3*5) + 3).\nAnswer: -2*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 + 5*g - 5. Let k(f) = f**3 + f + 1. Give -5*k(a) + q(a).\nAnswer: -4*a**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4298.\nAnswer: 2, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 + -1dbb?\nAnswer: -1dba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -5 times -252.2\nAnswer: 1261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r**5\/13 + 46*r**4\/13 + 236*r**3\/13 - 384*r**2\/13 - 576*r\/13 = 0. Calculate r.\nAnswer: -12, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -6, -10057.\nAnswer: -10057, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1120*j - 1086*j + 816 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -7 + -119?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4431 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -a + 47, -g - 3*a - 67 = -5*g. Let p = g + 14. Suppose j + 2*h - p = -0*h, 0 = 2*j + 2*h - 50. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -527*i**3*o - 2*i**3*q - 3480894*i**2*q - 2*i*o*q + 10*o*q - 59*o wrt o.\nAnswer: -527*i**3 - 2*i*q + 10*q - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*b - 1918*b**3 + 4*b + 46 - 1115*b**3 - 45 to the form m*b**3 + l*b + g*b**2 + w and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 8157763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 divided by 256?\nAnswer: 317\/256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -20 - -21. Let r(z) = 3*z**3 - 2*z + 1. What is r(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.013 and -5.2.\nAnswer: -0.0676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -122*g**3*r + 6*g**2*r - 17*g**2 wrt g.\nAnswer: -732*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3378 minus -18?\nAnswer: -3360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 520 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**3 + 6*n**2 + 7*n. Let v = 25 - 6. Let t = 26 - v. Let l be b(t). Solve -4*m = d + 21, -3*d + l*d - 3 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:33 PM and 2:46 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 47*z**2 + 1 - 45*z**2 - 5*z + 96*z**3 - 91*z**3 to q*z**3 + h + u*z + b*z**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the first derivative of 41\/5*b**5 + 0*b**4 + 21\/2*b**2 + 0*b + 7 + 0*b**3. Find the second derivative of o(l) wrt l.\nAnswer: 492*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*d + 44 - 17 = 0. Let r be 3*2\/d*2\/(-1). Suppose -3*o + 396 = -5*f, -2*f + 493 = r*o + 3*f. List the prime factors of o.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 90 and (8\/10)\/(14\/(-2450)*-14)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 149*n - 528 = 17*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.00988 + 1.00988. Let v(b) = -b**2 - 4*b + 2. Let n be v(4). Let a be ((-1)\/8)\/((-5)\/n). Is j less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17 + -7. Let h be (1 - -11)*w\/(-30). What are the prime factors of 44 + (-1 + -6 - h)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**3 - 17*z**2 + 19*z - 36. Let d be x(16). Suppose -9*i + d*i = 69. Suppose 20*s = i*s - 489. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -342, -690, -1050, -1428, -1830, -2262, -2730?\n\"Answer: -j**3 - 341*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 487*w + 16740 = 507*w. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1201*r - 11387 = -1394*r for r.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/285 and 113\/27925668.\nAnswer: 139628340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -120*d**2 - 108*d - 105*d - 101*d + 314*d.\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8024 is divided by 217.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 - 223021?\nAnswer: -223022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) -0.3  (c) -19  (d) -10.37  (e) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 take away -10609?\nAnswer: 10606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1 and 5.7161.\nAnswer: -5.7161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/2  (b) 0.16  (c) 1\/2  (d) 15.4241\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Is -102 <= -3730\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-f - 3*f + 3*f)*(57*f**2 + 119*f**2 + 97*f**2 - 2 + 2 + f**2 + (0 - f + 0)*(f + 3*f - 6*f)) to the form z*f**3 + b*f + x + g*f**2 and give z.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.2001380792 to 4 dps.\nAnswer: -0.2001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*y + 1 - 23*y + 15*y + 570*y**2 + 4103*y**2.\nAnswer: 4673*y**2 + 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -45165 divided by 4349\nAnswer: -45165\/4349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:43 AM and 10:21 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5072 - 5077. Is u at most 6.35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -4*j**2 + 5*j + 23. Let m(i) = -8*i**2 + 11*i + 51. Calculate 2*m(y) - 5*z(y).\nAnswer: 4*y**2 - 3*y - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*f + 8*f + 36. Suppose -o + f = 11*o. Solve -2*m - 7 = 5*l, -10 = 5*m + 2*l + o*l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16*(-17)\/((-238)\/(-14))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.89215919 to 5 dps.\nAnswer: -0.89216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(252\/(-330))*(693\/198)\/(1\/(-2)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1*-2 - (-1 - 2)) + 20349. What is n rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - ((-265)\/(-159) - (-1 - -8)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - (7 + -4 + (-6 - 1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73*k = 74*k - 3, -2*n - 2*k = -81520. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 6*p + 29 - 2*p - 85 + p**2 + 29. Let y be n(-8). Solve -o + v - 2 = 3*v, -y*o + 12 = -v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 754623.6668 rounded to the nearest 100?\nAnswer: 754600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 13\/65 + 744\/(-70). Let h = u - -10. Which is the nearest to -1?  (a) 2\/3  (b) h  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60839423 to the power of 1\/2, to the nearest integer?\nAnswer: 7800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b + 4*a - 37, 5 = -5*b + 4*a + 18. Let y = -1798 + 1835. Put 2, b, y in decreasing order.\nAnswer: y, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from xnknxxnxk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 293 + 316 = -87*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18198*i**2 - 16*i + 5*i + 3*i + 4*i.\nAnswer: 18198*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14\/77*(-231)\/(-714).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 205393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000468393257 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 527 is divided by 40?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1201020 (base 6) to base 8\nAnswer: 171744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*a**2\/11 + 130*a\/11 + 32\/11.\nAnswer: 2*(a + 16)*(4*a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/((3*1)\/(75\/(-10))). Solve 5 = h*r - 15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 31?  (a) -5  (b) 1  (c) 0.2  (d) 14  (e) 11.85\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 y, and 1 m when three letters picked without replacement from mmmnmqwwhqwqyq?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14678?\nAnswer: 2, 41, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve y + 2*d = 2 - 20, 1846*d = y + 1949*d + 725 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -0.77  (c) 5\/11  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 41.8872ms?\nAnswer: 0.0418872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxi when three letters picked without replacement from {i: 1, x: 3, u: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**2 + 155*g\/3 - 152\/3.\nAnswer: -(g - 1)*(3*g - 152)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -15\/38083 and -21\/4.\nAnswer: 152332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21368 divided by -379.\nAnswer: 21368\/379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2 - (11*-9 + 2). Calculate the greatest common divisor of o and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(2\/5)\/j*j**(7\/2))\/((j*j**(-1\/22))\/(j**(-5)*j)) assuming j is positive.\nAnswer: j**(-113\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 - -8. Let u be (-20)\/(-3) + 1\/t. What is the greatest common factor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 + -3. Suppose f = -3*d - 20 - 1. What is the tens digit of (-140)\/d + 1 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**11\/(b*b**(1\/3)))\/((b*b**(-9\/4)*b)\/b**8) assuming b is positive.\nAnswer: b**(215\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d - y + 103 - 781, 0 = -y - 2. Let s = d + -682. Put 1, 2, 5, s in decreasing order.\nAnswer: 5, 2, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes before 6:01 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/5*((-10)\/5)\/(-2)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the third derivative of c**5\/30 - c**4\/12 + 7*c**3\/6 + 6*c**2 + 2*c. Let m(a) = 6*a**2 - 5*a + 20. Give -3*m(f) + 8*n(f).\nAnswer: -2*f**2 - f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20)\/18*18\/(-30)*6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u\/(u*u**(6\/7))*u**(-1\/3)\/u*((u*u**(-1)*u*u*u)\/u)**(-13) assuming u is positive.\nAnswer: u**(-592\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = -2*t, 4*z + 5*t - 4*t - 3 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*l**2 + 7*l**2 - 3*l + 0*l)*(-141*l - 82*l - 74*l) to w*l**3 + i*l + x + h*l**2 and give w.\nAnswer: -2970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*r**3 - r**3 + 615346*r + 2*r**2 - 615350*r - 2*r**2.\nAnswer: 8*r**3 - 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 86952 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -75750000 rounded to the nearest one million?\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -95 - -108 - (3 + 73) - -16?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes after 3:22 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 7}. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 4 + -5 + (sqrt(175) - (sqrt(175)*-2)**2*-2)*-3.\nAnswer: -4203 - 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 37696 and 61256.\nAnswer: 490048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-2 + -4*(sqrt(2057) + sqrt(2057) + sqrt(2057) + 2 + sqrt(2057))*4)**2.\nAnswer: 95744*sqrt(17) + 16853256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (4 + -11 - -17)) + -12?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 14  (b) -0.3  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2660, -11009, -24886, -44291, -69224?\nAnswer: -99685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.33?  (a) -1\/4  (b) 0  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 14 in 197, 2\/17, -4, -6?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -142517*u - 915953?\nAnswer: -142517","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5368 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 641, 5163, 17435, 41333, 80733, 139511, 221543, 330705?\nAnswer: 470873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -196131100 to the nearest one million.\nAnswer: -196000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -21659631 less than -0.3182?\nAnswer: 21659630.6818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1475*c**2 - 312?\nAnswer: -2950*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o = 64*a - 67*a, 4*a - 18 = -2*o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 594033370 to the nearest integer?\nAnswer: 24373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/4*1*(-24)\/(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -112*g**2 - 36*g**3 + 61*g**2 + 51*g**2.\nAnswer: -36*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (-1 - 2) - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/4 - (-3 + 1). Let h = -6\/1171 + 1207\/7026. Suppose -4*k = -2*b - 40, 5*k + 6 = b + 29. What is the closest to -0.1 in w, h, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0477021 rounded to four dps?\nAnswer: 0.0477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 34\/5 of a meter?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2295 and 6987?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1181370 and -0.10360224.\nAnswer: 1181369.89639776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-5) - (-84)\/(-10). Let i(z) = -z**3 - 7*z**2 - 3*z + 2. What is the tens digit of i(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 9\/3 - 14\/4 - (-86)\/172. Let d(h) be the third derivative of 1\/60*h**6 + 11\/150*h**5 + 7\/60*h**4 - 6*h**2 + z + 0*h + 1\/15*h**3. Factor d(k).\nAnswer: 2*(k + 1)**2*(5*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ln when two letters picked without replacement from xnnlo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**(-8)*b*b*b**(-1)\/b*b)\/(b\/((b\/(b*b\/(b\/(b**(2\/7)\/b))))\/b)*b)**(-42) assuming b is positive.\nAnswer: b**106","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -ae9ada + -3?\nAnswer: -ae9add","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:52 PM and 9:16 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 95 divide 5971415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - 0 - (-12 + -5 - (12 + -5 - -9)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the third derivative of -3*f**2 + 0*f + 0*f**3 - 1\/8*f**4 + 0. Determine m(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.705338ug?\nAnswer: 0.000000705338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -6, 1242, -5, -2 in increasing order.\nAnswer: -6, -5, -2, 8, 1242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes before 7:41 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2c - 68b?\nAnswer: -65e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11101000110 + 100?\nAnswer: -11101000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/(27\/1306599) + 5\/(-3) + 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3b0 (base 14) to base 10\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 14970*u**2 + 3*u - 4. Suppose c + 10*y - 6 = 5*y, 0 = -c + y. Is w(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the third derivative of -g**7\/210 + g**4\/24 - 2*g**3\/3 + 2*g**2. Let c(u) be the first derivative of s(u). Differentiate c(w) with respect to w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -13*r + 83. Let z be b(6). Solve 0 = -j - 0 - z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46106812 to the power of 1\/3, to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1921307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**3 + k**2 + k + 8. Let a be x(0). Let z = a - 20. Let b be 3\/z*(-24)\/(-27). Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -219*v + 24 = -231*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 36 and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 + -9. Suppose -2*p - y + x = -p, 3*y - 3 = 0. Suppose -4*k - 5*v = -17, 2 - 6 = -4*v. Solve 4*d + p + k = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 32\/5 of a millimeter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -167, -322, -475, -626?\n\"Answer: f**2 - 158*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.455 and -15881.\nAnswer: -7225.855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5037445*y - 396092 with respect to y.\nAnswer: -5037445","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5599000 rounded to the nearest one hundred thousand?\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 66992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 89209.7 centuries?\nAnswer: 892097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 1287\/491?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 25*h**4 - 2*h**3 - 33. Let b(t) = -4*t**3 + 52*t**4 - 67 - t**3 - 2*t**4. Let d(j) = 2*b(j) - 5*w(j). What is the first derivative of d(u) wrt u?\nAnswer: -100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**3 - 22*g**2 + 39*g - 33. Let b be t(-24). Suppose -u + 3*i = 4*u - 271, -5*i = 3*u - b. What is the greatest common divisor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 194227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**2 + 4*z - 12. Let t(w) = 4*w**3 + 53*w**2 + 17*w + 46. Let l be t(-13). Give g(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 114140 divided by -11414?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, -1788, 5 in ascending order.\nAnswer: -1788, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 2 = 3. Suppose -2*w + x = 1. Let l(t) = 2*t**2 - 3*t**2 + 0*t**w. Let z(o) = o. Calculate z(l(h)).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*f**4 - 1172055*f**3 + 152628127002*f**2 - 6624060486061044*f - 112653143550298104 = 0. What is f?\nAnswer: -17, 130234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 21*s. Let h(u) be the third derivative of 0*u**3 - 1 + 0*u - 1\/24*u**4 - 14*u**2. Give -72*h(z) - 3*p(z).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -146*k - 151*k + 303*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 10*(-9)\/(-36)*8\/(-70)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvnu when four letters picked without replacement from {u: 2, v: 7, n: 7}?\nAnswer: 7\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -684 + 346 - 51*j + 768*j**3 + 55*j + 338 in the form o + u*j + w*j**2 + n*j**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(208\/40 + -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -24, -66, -146, -276, -468?\n\"Answer: -2*v**3 - 7*v**2 - 7*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 88, 90, 94, 100, 108, 118?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5742 = -1009*q + 371*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.32 - -9.32. Let i = 8.6 - x. What is the nearest to 0 in i, 0.01, -5\/4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10 + -5. Let g be l\/(-6) + 3\/6. Let d(s) = -539*s - 2151. Let n be d(-4). Solve -3*f + g*p + n = -p, 0 = -5*p + 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:27 AM and 3:55 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104)\/(sqrt(12)\/sqrt(3)))\/(-4*(sqrt(2) + sqrt(2)*1)).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21136 - 6651 = 3*o + 5*b, 0 = -2*b - 2. Suppose w + o = 4*v, 2*w - 10 = 7*w. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 1243 = 5*z - 302. Let j = z - 308. Let f = 0.7 - -2.3. What is the biggest value in f, j, 2, -3\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d**3 - 4*d**3 + 8*d**2 + 7*d**3)*(197*d + 68247 - 68247).\nAnswer: 197*d**4 + 1576*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38542 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 132293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63*z**2 + 4*z**3 + 61*z**2 - 124*z**2.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lzzzl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 490277.7 to the nearest one hundred.\nAnswer: 490300","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 + 18 + 3 + 1. Let f = -1 - 2. List the prime factors of (f\/(-9))\/(2\/b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 - 4. What is the units digit of g*3\/(-3) + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (127 - 37*n - 127)*(-6*n + 6*n + 2*n**2 + (2 - 3*n - 2)*(4*n - 3*n - 2*n)) to f*n**3 + p*n + q + x*n**2 and give f.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(2\/9))**(-26)\/((t\/(t\/t**1))\/(t\/t**4)) assuming t is positive.\nAnswer: t**(-218\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-125)\/(-25))\/((-225)\/63)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 - 2134815.\nAnswer: -2134816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -18, -2, -2\/9, -8, 23, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**18)**(-37)*(z\/(z*((z*z**(-2\/5)*z)\/z*z)\/z*z))\/(z*(((z**(-1\/23)\/z)\/z)\/z)\/z) assuming z is positive.\nAnswer: z**(-76424\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**3 - 7*o**2 + o - 11. Let s be b(-8). Suppose 4*h - s = -17. Solve h*w - 20 = 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 200 + -4?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 24475 + -734101\/30. What is the common denominator of m and 1\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l. Let o(s) = -464*s**2. Give o(p(r)).\nAnswer: -464*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -670000 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3150.412l?\nAnswer: 3150412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a century in years?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (1860\/(-651))\/((-1276)\/(-1218))?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*g - g + 7. What is the lowest common multiple of 1\/(-1) - (25 + -32) and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 19 = c, -5*u = -5*c + 5 + 15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fcc when three letters picked without replacement from {c: 2, e: 2, b: 1, f: 4}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**2\/7 + 64654*x + 2715396\/7.\nAnswer: 2*(x + 6)*(x + 226283)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -15436*q + 659. What are the prime factors of i(-1)?\nAnswer: 3, 5, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -109*o = -80*o + 4350. Let j = -451\/3 - o. What is the smallest value in 40, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**3 + 10*i**2 - 8*i + 8. Let k be a(8). Suppose -b = -2*w + 3*w - k, 0 = -3*w + b + 236. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -c**2*o + 161668*c**2 + 179*c*o**2 - 5*c*o - 17*o**2 wrt o?\nAnswer: -c**2 + 358*c*o - 5*c - 34*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 107667 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 16367514*w - 3272740.\nAnswer: 16367514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -28*n + 18469. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 581346 and 3?\nAnswer: 581346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + (1 - 1) + 15 + -29.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*s + 2*s - 5*s)*(-1671 - 12*s + 1671)*(1 + 4 - 3) - 27*s - 26*s + 52*s + 33*s**2 in the form v*s + q*s**2 + m and give q.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*a + 4*a - a)*(-a**2 + a**2 + 2*a**2) + (-112 + 56 - 99)*(2*a**3 + 2*a**3 - 2*a**3).\nAnswer: -312*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**2. Let u(i) be the first derivative of 0*i + 1 - 1\/2*i**2 + 1\/12*i**4 + 0*i**3. Let b(c) be the second derivative of u(c). Calculate v(b(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - b = -14 + 15, -5*f + 19 = 2*b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*j**4 - 3*j**4 + 0*j**4 - 4*j**4 - 2*j**4 + 2*j**4 + (1690*j - 1690*j - 18*j**2)*(194*j + 19*j**2 - 194*j).\nAnswer: -344*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*w - 3*w - 16. Calculate the remainder when 14 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1419665641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 + 93 = 4*g. Suppose 0 = j + 11*j - 48. What is the highest common divisor of g and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 136, 188, 326, 592, 1028, 1676, 2578?\n\"Answer: 7*z**3 + z**2 + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -142 + -4133305?\nAnswer: -4133451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3 + 9*u**2 + 3*u + 4. Is j(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 103199 is divided by 135?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -177959354*m**3*o + 6*m**2*o - 56163302*m*o wrt m?\nAnswer: -1067756124*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -249*p - 1215*p**2 - 153*p + 1216*p**2 - p**2 + p**2 + p**2 + (4 + 2 - 5)*(p**2 + p**2 + 0*p**2) - p**2 + 0 + 0 + p**2 - 3*p**2 + 3*p**2.\nAnswer: 4*p**2 - 402*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 117 and 13.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the second derivative of 0*w**2 - 59*w - 1 + 1\/15*w**6 + 0*w**4 + 47\/10*w**5 - 16\/3*w**3. Find the second derivative of f(c) wrt c.\nAnswer: 24*c**2 + 564*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77.02168 centuries in millennia?\nAnswer: 7.702168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the first derivative of 0*k**5 + 1\/2*k**6 + 0*k + 0*k**3 + 9\/2*k**2 - 34 + 0*k**4. Find the second derivative of j(m) wrt m.\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*h = -5 - 27. Suppose -4*f - 92 = -h*z, -3*f - 17 = -2*z + 33. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*b + 2*n - 52, 1383*b - 204 = 1372*b - 4*n for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 262 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -63 by 78.\nAnswer: -21\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xqqqyqyx. What is prob of picking 2 x and 2 y?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:30 AM and 10:33 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-28)\/70)\/((-4)\/(-280)*2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 2571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/9?  (a) -65\/6  (b) -11\/35  (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(1\/7)*o**(-7))\/((o\/o**(-4\/7))\/(((o**8*o)\/o)\/o*o)))**(-18\/5) assuming o is positive.\nAnswer: o**(54\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 19990 or 19991?\nAnswer: 19990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17989729 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3255190636?\nAnswer: 2, 813797659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4515 = -30727*x + 15407*x + 15019*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**2 + 4*s + 8. Let y be i(5). What is the thousands digit of 36684\/24*2\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-45)\/10)\/(-9)*0. Suppose -17270 = -5*u + 5*q, b = -5*u - q + 10445 + 6795. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/17*w**4 + 18\/17*w**2 + 4\/17 + 14\/17*w + 10\/17*w**3.\nAnswer: 2*(w + 1)**3*(w + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 53497 = -t + 4969, 5*v - 5*t = -242630. Let j = 76536 + v. Suppose -2*z + 9991 = -j. What is z rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1917, 78 in descending order.\nAnswer: 1917, 78, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b = 38*d + 35, d + 32*b = 64*b - 34*b + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -2*r**3 + 8*r**2 - 30. Let d be j(5). Let y be (-21)\/(-5) - (-16)\/d. Solve -3*n - 3 = y*s, -2*s + 5*n + 5 = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 783 and 232?\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((2 + -1*sqrt(2448) + 3)*-4 - (-3 + -3 + (sqrt(2448) + sqrt(2448)*-1)*-2))**2.\nAnswer: -1344*sqrt(17) + 39366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15774.\nAnswer: 2, 3, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1700) + sqrt(1700)*-1)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 26*f + 6. Let l(j) = -j**2 - 6*j + 68. Calculate the remainder when a(1) is divided by l(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 173 divided by -50035.\nAnswer: -173\/50035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**2 + 9*o - 10. Let g = -9 - -16. Let z be r(g). Solve z*t = 3*t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1122, -1119, -1116, -1113?\nAnswer: -1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1110021101 (base 3) to base 16\nAnswer: 6fd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = 3*i + 8. Let r be (50\/i)\/((-2)\/(-654)). What is r rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 9*p - 22 = 5*p, -12 = -4*p. Solve t = -d*t - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21521431 (base 6) to base 13.\nAnswer: 199174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**3 + 21*q**2 + 12*q - 473. Give y(-19).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yvyyyyyyyyx. What is prob of picking 2 y?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + 3 + 9 + -1 + 9 + -73.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*r + 10*r - 202 = -x, 7*r - 42 + 176 = 2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -l - 84*l**2 - 199 + 84*l**2 + 47*l**3 + 206 to f*l**3 + v + y*l**2 + b*l and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 5303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 71 + -70.942. Let f = -0.1303 + 0.1934. Let q = f - c. What is q rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 217703136 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 340*d**3*g**2 - d**3*g - d**2*g + 91*d*g - 790*g**2 + 25*g + 1 wrt g.\nAnswer: 680*d**3 - 1580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 16 - 18. Let j = -13 + s. Let w be 10 + -8 + j\/8. What is the third smallest value in -0.2, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**3*t**(-8))\/(t\/(t\/(t**1*t*t))*t*t**(-1\/10)\/t) assuming t is positive.\nAnswer: t**(-79\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 338478393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k - 295 = -103. What is the second derivative of 21*l**2 - 79*l**2 + k*l**2 + 8*l wrt l?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -18*t + 15*t, 5*s = 2*t - 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104*j + 120*j - 40*j - 6992 = 0 for j.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 7*l**2 + l + 13. Let f(o) = -3*o**2 - o - 6. Let r be ((-1)\/((-3)\/12))\/2. Let j(z) = r*x(z) + 5*f(z). What is j(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1706069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 4297*j**3 + 6 - 5.\nAnswer: -4297*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-3255472)\/(-32) + -21)*(1 - -231). Round x to the nearest 100000.\nAnswer: 23600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -80 - -53. List the prime factors of -28 - -26 - u*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.8359 - 0.9359. What is the second smallest value in -11, 1\/4, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-1\/2)\/z*(z*z\/z**(-19))\/z)\/(z**(1\/3)\/z)**(-6\/13) assuming z is positive.\nAnswer: z**(473\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**4\/9 - 52*n**3\/9 + 146*n**2\/9 + 832*n\/3 + 512.\nAnswer: 2*(n - 16)**2*(n + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/165*11)\/(20\/(-6) - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 6*s**3 + 13*s**2 + 21*s + 2. Give b(-3).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7068500 and 80180.\nAnswer: 4220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.11 - 1.89. Let o = 95 + -57. Let n = -33 + o. What is the third smallest value in n, a, 4\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000618 rounded to five dps?\nAnswer: 0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17825 + 17824.8. Which is the smallest value?  (a) 1.4  (b) t  (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2527 and 4049489.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*y - 1 - 5*y + 1 - 116872*y**3 + 116955*y**3.\nAnswer: 83*y**3 + 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 754 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(10)\/(sqrt(30)\/sqrt(6)*4).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1  (b) -18  (c) -52  (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o + 5. Let n = 25 - 28. Let i(b) = 1. Let y(a) = n*i(a) - f(a). Calculate y(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 552 = -5*x. Suppose -6*a = 805 + 233. Let v = a + 196. Calculate the highest common factor of x and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -380*k**3 + 775*k**3 - 387*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -2*k**5 - 6*k**4 + 4*k**3 + 23*k**2 + 14*k - 1. Let r(c) = c**5 - c**4 - c**3 + 1. Let f(n) = -3*r(n) - 3*t(n). Factor f(v).\nAnswer: 3*v*(v - 2)*(v + 1)**2*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 - 4. Suppose u = 3*l + 52, -l + g*l = 0. Is 26 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((d\/d**5)\/d)\/d*d)\/d)**22 assuming d is positive.\nAnswer: d**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dbgiigiggtddtkiit. What is prob of picking 3 d?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 38 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6 and 1128?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -10 + (-6)\/(-33) + (-6)\/33. Does 10 divide (-83488)\/(-80) - (-6)\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*c**2 + 5*c + 8*c**2 - 11*c**2)*((-c - c + 0*c)*(-1 + 3 - 4) + 2*c + 0*c - 4*c + (0 + 0 + 2)*(-c + 0*c + 4*c)).\nAnswer: 24*c**3 + 40*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 44, -979, -308 in decreasing order.\nAnswer: 44, -308, -979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 3*u**3 + 2*u**2 - u + 10. Let t be c(-3). Let r be (t\/(-60))\/((-3)\/(-6)). Which is bigger: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 c when two letters picked without replacement from ffqqqqcqqkkq?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4 + 4 + (-1396)\/16. Let n = x - -79. Let p be ((-2)\/6*1)\/(-1). What is the nearest to p in 3, n, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -i**3\/6 - 1589*i**2 - 2662559*i\/6 + 445349 = 0.\nAnswer: -9246, -289, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -4 - (-1)\/2*6. Let v(w) = 3*w**3 + 1. Let o be v(s). Let n be (3 + -2)*o - -11. Solve n = -5*r - a - 11, -2*a = 2*r + 16 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -2*d**2 + 1 - 1. Let y(j) be the first derivative of 2*j**3\/3 - 2*j**2 + 4. Let u(f) = 2*f**2 - 3*f. Let q(k) = 4*u(k) - 3*y(k). Calculate q(l(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 3069, 29904, 102757, 244638, 478557, 827524, 1314549?\n\"Answer: 3835*u**3 - u**2 - 7*u - 758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of l**2 - l**2 - 8*l**5 + 11*l**2 - 9*l**5 wrt l.\nAnswer: -1020*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4192054*s + 1397354*s + 1397342*s + 1397344*s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13304 is divided by 2069.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 0*y**3 - 5*y + y - 2 + 2*y - 4*y**3 - 8*y**2. Let u(s) = -5*s**3 - 8*s**2 - 2*s - 3. Let x(c) = -6*l(c) + 5*u(c). What are the prime factors of x(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from umjmjmjamcjaja. What is prob of sequence mjm?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*u = -6*u + 8430. Let o = u + -472. Calculate the lowest common multiple of o and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + ((3 - 0) + -5 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 265205 divided by 8555\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the second derivative of -5*i**4\/12 + 5*i**3\/2 + 10*i**2 + 280*i - 2. Suppose c(o) = 0. What is o?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14301*t + 418932 = -22059*t for t.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2232 + 23014?\nAnswer: 20452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the first derivative of 5\/3*m**3 + 0*m**2 + m**5 + 0*m + 19 - 5\/2*m**4. Factor o(t).\nAnswer: 5*t**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -5*h + 44, 16 + 46 = 3*x - 4*h. Calculate the greatest common divisor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 3*z**2 - z + 1 + 0 + 2*z**2. Suppose 2*c = 3*g - 5, -2*g + 5*g - 9 = 0. Is r(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72 = 4*q + 2*h + 256, 4*q + 4*h = -176. Suppose 2*x - 166 = 3*k + 2*k, -138 = -2*x - 2*k. Let t = q + x. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 538 - 574. Let l be ((-6)\/8)\/((-2)\/96). Let n = b + l. Sort n, 4, 0.4 in descending order.\nAnswer: 4, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -403799552 divided by 208?\nAnswer: -1941344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -27*z + 209. Determine a(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5128\/45 - -567\/5. Let s = 10.299 + -9.999. Which is the second biggest value?  (a) s  (b) 2  (c) t  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -86448036259 - 7?\nAnswer: -86448036266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-138)\/3220*30\/(-9). Let p = -0.1 - 0.4. Sort j, -1, p in increasing order.\nAnswer: -1, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (10\/32)\/((-490)\/(-392)). Which is the third smallest value?  (a) p  (b) -0.1  (c) 2\/29  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*d = 7*d - 119 + 263 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1747709 is divided by 20081.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/19*z**2 + 2336\/19*z + 682112\/19.\nAnswer: 2*(z + 584)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 7\/845, 0.05, -24, -3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*l**2*r*y**4 + 3*l**2*y**2 - 4*l**2*y + 43603*r*y**4 - 271*r*y wrt y.\nAnswer: -48*l**2*r*y + 1046472*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 38 + -33. Suppose 15 - h = -2*t, 3*l - 70 = -4*t. What is the smallest common multiple of l and 8\/2 + 21 + 6 + -4?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-1 + sqrt(176) + (sqrt(176) - (-1*sqrt(176))**2 - sqrt(176)))*6 + (-1 + sqrt(176) + -5 - ((sqrt(176) + 0)*4)**2).\nAnswer: -116*sqrt(11) + 2488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*p = 57*p + 7*p + 4692 - 598 for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 65 - 73. Let n be (23*-1 + t\/(-4))*-1. Let w be n\/120 + 0 + (-1)\/(-5). Is w smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -42, -48, -54, -60?\n\"Answer: -6*o - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.13  (b) 5  (c) 3  (d) -3\/17  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -601, -593, -581, -565, -545, -521, -493?\n\"Answer: 2*r**2 + 2*r - 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (2\/20)\/((-117)\/195)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*u - 26*u + 3066*u**3 - 1534*u**3 + 50*u - 1534*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, -2, -3 in ascending order.\nAnswer: -5, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.1659 + -2.1659. Let c = -34 + 137\/4. Put -4, 1, z, c in descending order.\nAnswer: 1, c, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -33 (base 14) in base 15?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 5*w**2 + 74*w + 79. Calculate the remainder when 469 is divided by v(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o + 1684*r + 16 = 1680*r, o - 10 = r for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 479177272.\nAnswer: 2, 7, 179, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**2\/(w**(4\/7)\/w))**32*(w**(-2\/9)\/w)**(1\/16)*w\/(w*(w\/(w*w**(2\/7))*w)\/w)*w**(3\/4)*w assuming w is positive.\nAnswer: w**(11473\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18 - -6) + 6 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/2*45\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 234*s = -106*s + 337*s - 408 for s.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*i + 12*i + 389760 = 17*i. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*u + 10*u + 2*j = 1, -2*j + 16 = 4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -90212 and -113.\nAnswer: 10193956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -12 + v - 6*v - 14 - 7 + 28. Determine a(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6568, 13135, 19702, 26269?\nAnswer: 32836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9956*v - 27629*v + 6691 - 6691.\nAnswer: -37585*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11 + -7. Let b = -16 + 30. Suppose 0 = -3*j + 10 + b. What is the smallest common multiple of j and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 15*t**2. Let y(s) = -s. Give w(y(p)).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*v**3 + v**4 + v**2 - 6*v**4 + 3*v + 5 + 5*v**4 - 1 + 2*v**4 in the form d*v**2 + r*v + l*v**4 + u*v**3 + x and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -127 = -5*k - p, -3*k - 5*p + 120 = 35. What is the remainder when k is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*j**2\/7 - 2706*j\/7 - 24633 = 0. Calculate j.\nAnswer: -833, -69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 9451782 divided by -1575297?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 3 + 2 + 0 - 17284*d**3 + 17288*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 58, 60, 62, 64, 66, 68?\n\"Answer: 2*l + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -100022000 (base 3) in base 12?\nAnswer: -3b09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10 - 10. Solve 3 = 3*k + 2*w, -2*k = 4*w - q + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1090215552 + 31829\nAnswer: -1090183723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 363 + -359. Suppose 656*v = 658*v - q. Solve -4*d - 2*m = -2, v*d = -0*m + 4*m + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, y: 4, o: 5}. Give prob of sequence oyw.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1658, -3071, -5426, -8723, -12962, -18143, -24266?\nAnswer: -31331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3.14 and -1941510.\nAnswer: -6096341.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 987.952 centuries in decades?\nAnswer: 9879.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p - 35040 = -35016 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5, -3, -299?\nAnswer: -299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4087 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/(-308)*(-7)\/8)\/(33*(-53)\/6996).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1315 is divided by 120.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 520 + 2332\/3*a - 4*a**2.\nAnswer: -4*(a - 195)*(3*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-32)\/(-24)*(-18)\/(-4). Let r be (9 - 6)\/(1\/y). Is 21 a factor of ((-206)\/6)\/((-6)\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -437042 (base 8) in base 4?\nAnswer: -203320202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 118465 by -215.\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 536594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 3*d - 3 = 0, 3*x + 7*d = 5*d + 13. What is the third derivative of -142*t**3 - 66*t**x + 11*t**2 + 75*t**3 - 103*t**2 - 178*t**3 wrt t?\nAnswer: -1866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 2*u**3 + 38*u**2 + 66*u - 32. Calculate x(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 254750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 21390 rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*r*z**2 + r*z + 19*r - 12*z**2 - 9 wrt z.\nAnswer: -4*r*z + r - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 600*o**2 - 408*o**5 + 1632*o**2 + 2*o**4 - 289*o**2 + 3*o**4 wrt o.\nAnswer: -24480*o**2 + 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = r - 1848 + 1840 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 102943793.\nAnswer: 389, 264637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 43765 or -49?\nAnswer: 43765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 333 + 363 = 82*l + 92*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -30*j - 553. Give l(-18).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrrrrrrriirrrz. Give prob of sequence rrzr.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 = 5*h - 38. Let j = h - 13. Suppose -b = 3, -j*y + 5 + 24 = 2*b. What is the greatest common divisor of 49 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 102*m + 10*m**2 - 256*m + 74*m + 80*m - 158 as f + u*m + d*m**2 and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/12)*o*(o\/(o\/(o\/(o\/(o*o\/o**(-6)*o)))))\/o)\/((o\/((o\/(o**(-5)\/o))\/o)*o)\/(o\/((o\/o**(4\/9))\/o)*o)) assuming o is positive.\nAnswer: o**(559\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(1*sqrt(170) - sqrt(170))\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5701\/4 or -2\/11?\nAnswer: 5701\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eqem when four letters picked without replacement from {q: 1, n: 2, m: 3, e: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-211*i**2 - 185*i**2 + 1007*i**2)*(-11*i**2 - 13 + 13) to b*i**4 + g*i**3 + c*i**2 + j + r*i and give b.\nAnswer: -6721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -5*x - 112. Let q be o(-24). Let z(t) = -t - 1. Let v be z(3). Let s be (-132402)\/4 - v\/q. What is s rounded to the nearest one thousand?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes before 11:21 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 4*l + 43. Let m(q) = 17*q**3 - 20*q**2 - 6*q. Let a(r) = 6*r**3 - 7*r**2 - 2*r. Determine l*a(s) + 4*m(s).\nAnswer: 2*s**3 - 3*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -27 in 4, 1\/10, 0.04, 1.1, 1, 0.05?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**2 + 1. Let g be h(-1). Suppose 0*m + 4*m + 4*w = 832, -6 = g*w. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r + 11*r - 1311 = 0. Suppose 5*y - r = 111. Calculate the greatest common divisor of 54 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -22 or 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**2 - m + 120. Let t(q) = -q + 21. Let g(a) = b(a) - 6*t(a). Let v(p) = 2*p - 4. Let f be v(4). Calculate g(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 127 + -128. Let o be (-1)\/5 + 2\/35. Is u less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 896 + 1232 = 39*q + 53*q - 36*q for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (105\/(-600))\/((9212\/630)\/(-47))?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - z + 5 - 0, -3*p + 16 = 4*z. Let o(i) = 5*i. Let b(k) = 5*k. What is p*b(h) - 5*o(h)?\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 131\/110 and 115\/266.\nAnswer: 14630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 230 + -17. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -11*b**2. Let n(u) = 6*u**2 - 320. Give n(p(d)).\nAnswer: 726*d**4 - 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9399 + (-1 - 8)\/((-225)\/50)?\nAnswer: 7, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 2197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 304 and 40971790.\nAnswer: 327774320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -4, 16, 62, 146, 280, 476, 746?\n\"Answer: 2*t**3 + t**2 + 3*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 110, 487, 1110, 1973, 3070, 4395, 5942?\nAnswer: 7705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 82 + -9. Is (-1 - u)*3\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - 2) + 3 - (3 - 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1*6\/8)\/(16*1521\/4992)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -8*c - 4. List the prime factors of w(-4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 + 335715030?\nAnswer: 335715026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1702423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 9, l: 1, j: 2, q: 4, h: 4}. What is prob of picking 1 q and 2 h?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -30, 1\/13, -4?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, q: 1, f: 1, w: 2, a: 1, v: 2}. Give prob of picking 1 q and 1 w.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 less than or equal to 25070\/3687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16\/(-144))\/(2\/6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*2290\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 4808 divide 272382816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.158 + 2.912. Let d = -0.07 + z. Put d, 0.1, 5 in decreasing order.\nAnswer: 5, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) -1829\/14  (b) 0.5  (c) -4  (d) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17 - 2. Let z = k + -16. Sort z, 0.2, -1\/3 in increasing order.\nAnswer: z, -1\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u + 2*u - 1 + 0)*(-3 + 3 + 2*u).\nAnswer: 10*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 287 + -256. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 2*v**2 - 4*v + 1. Is z(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 4 = -5*r, -4*v - 2*r + 12 = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -138 - -277\/2. Let o be 3\/8*4\/6. What is the nearest to -1\/3 in c, o, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 10 - (-7 - (3 + -8)). What is the greatest common divisor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes after 9:42 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4496 is divided by 68?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 195*v + 677*v - 30*v - v**2.\nAnswer: -v**2 + 842*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -12*i - 3. Let d be f(-3). Are d and 33 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7478831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 184 and 3208?\nAnswer: 73784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17.18 - 17. Let t = y - 10.18. Let q = t - -10.1. Is q > -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 43 divided by 2\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82 = 36*g - 298 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 7*w**2 - 7*w - 59. Let t(q) = 3*q**2 - 3*q - 29. Let m(s) = -2*l(s) + 5*t(s). Let i be m(6). Solve u + 6 = i*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.3 + 20126468362?\nAnswer: 20126468359.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -79726?\nAnswer: 3\/79726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 34600228 a multiple of 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 896\/3 + -2678\/9. Let x(k) = -2*k**3 + 2*k**2 + k - 8. Let v be x(2). Calculate the common denominator of r and (2\/(-40)*-2)\/(v\/(-378)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 501.5107km to meters.\nAnswer: 501510.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.4 - -2. Let r = 0.5999963 - z. Round r to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/13?  (a) -0.2  (b) 0.04  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4262311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1276955?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**2 + 26*y + 170. Suppose 27 = -2*n - 4*w + 15, -4*n - 4*w - 40 = 0. Let r be c(n). Solve -j + 8 = -4*a, r*a - 3 = 2*j - 7 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w - 23 - 22. Let o = w + 12. Which is the smallest value?  (a) o  (b) -0.2  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes after 7:23 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 712, -2, -5, -4 in ascending order.\nAnswer: -5, -4, -2, 712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.13 in 0.22, 2, 1.8, 1?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence igs when three letters picked without replacement from {e: 1, s: 3, g: 1, i: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 706 minutes after 5:41 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 191\/3 - 63. Which is the closest to m?  (a) 4  (b) 0.2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 217 - 446. Let d = 251 + t. Calculate the highest common divisor of 418 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(304) + 3)**2 - (sqrt(931) + 0 + -4 + sqrt(931))**2.\nAnswer: -4053 + 88*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 434545883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 - 7. Let l = 0.1 - -0.1. Which is the nearest to o?  (a) 0.3  (b) 0.1  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 2*n + 5*n. Solve -5*m + 7*m = n for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 - -6. Suppose j*g - 12 - 36 = 0. Suppose c - 3*c + g = 0. What is the remainder when 35 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*j**3 - j**3 + 3*j**3 + (-j**3 - j**3 + 4*j**3)*(-2 + 1 + 17) - 199*j**2 + 36*j**3 + 199*j**2.\nAnswer: 70*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*b + 97*b**2 + 94 + 173*b**2 - 203 + 6*b - 3*b**3 + 107 as r*b**3 + y + i*b**2 + a*b and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.61 - 1.59. Let k = 31.013 + -31. Let v = k + c. Round v to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -15 at least -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 138 and 44148?\nAnswer: 1015404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 189 - 189. Suppose q = u + 70 - 439. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(-84) + (-235)\/1316.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {y: 1, r: 6, b: 2, q: 1, u: 3}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -538*w - 164 + 126 - 2*w**2 - 4*w**3 + 534*w in the form k + c*w**2 + f*w**3 + b*w and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 372717.\nAnswer: 3, 41413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 789 = h, 6*h = 3*h - 5*i + 2362. Suppose -24 = f - h. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5253)\/(-68)*1\/87. Let s = w + -4\/29. Let y = -148\/5 + 30. Which is the third biggest value?  (a) s  (b) y  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 106 - 55. Suppose 4*f + 4*c - 56 + 4 = 0, -5*f + 2*c = -l. Calculate the remainder when 4\/(-18) - (-364)\/18 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 7, 105, 0.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes before 5:17 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(320) + sqrt(20))\/(sqrt(90)\/sqrt(9)*4)*-3)**2.\nAnswer: 81\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and -1333949.\nAnswer: 4001847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 82 - 78. Suppose n*m - 202 = -p + 8*m, 5*p - 885 = -5*m. What are the prime factors of p?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -138, 99993 in decreasing order.\nAnswer: 99993, 5, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times -152?\nAnswer: 15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6000 = 17*g - 37*g. Which is the second biggest value?  (a) 1  (b) -4  (c) -6\/7  (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 4*h = 75, -d - 3*h = 2*d - 180. Let b = d + -19. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 63\/2*h + 1\/2*h**3 - 17\/2*h**2 + 81\/2.\nAnswer: (h - 9)**2*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 479 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 588185237?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 252064?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -903 - -897. Let q = 104 + -73. Is q at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 34a2 - 16107?\nAnswer: -12715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -35, 2, 3 in ascending order.\nAnswer: -35, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5 + 7. Suppose 4*x - x = -33. Let c(g) = g**2 + 8*g - 28. Let r be c(x). Put a, r, 0 in increasing order.\nAnswer: 0, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 23 and 4853?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3094 a factor of 433896372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.11 - -0.21. Let c be (-2 - -3) + 10 - 1. Suppose -5*a = y - c + 3, 4*a - 10 = -3*y. Is d < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-20862)\/(-305))\/57*-50\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -2*q**2 + 8*q - 13. Calculate z(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100 + -100100?\nAnswer: -100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 9068.867 days?\nAnswer: 783550108800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, -11, 0, -61.\nAnswer: -61, -11, 0, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 15800, 31297, 46776, 62237, 77680, 93105, 108512?\n\"Answer: -9*p**2 + 15524*p + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 200 = 5*q. What is the common denominator of ((-2)\/(-4))\/(q\/(-164)) and (3\/30*(-111)\/222)\/(2\/396)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 - 5. Suppose -2*m + s*u = u - 12, -4*m - 3*u + 44 = 0. Is m a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3740304 and 6264?\nAnswer: 33662736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 525826 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 82 + -77. Suppose -n + 30 = z*n. Suppose 8*d = n*d + 6*d. Round d to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 6) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 2*v = -8, v - 2064 + 2069 = 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the second derivative of 55*r**4\/48 + 85*r**3\/24 - 25*r**2\/4 - 1122*r. Determine j so that z(j) = 0.\nAnswer: -2, 5\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34357.35 months in years?\nAnswer: 2863.1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m - 1. Let k(l) = 2*l + 18. Let u be k(-23). Let c be ((-6)\/4)\/((-21)\/u). Give p(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence maa when three letters picked without replacement from amammmamgmemamam.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-3)\/(v\/(v**0\/v))*v**(4\/7)*v**(1\/5)*v)\/((v\/v**6*v\/v**(-2\/7)*v)\/(v*v\/(v*v**(2\/7)*v*v))**(-49)) assuming v is positive.\nAnswer: v**(2187\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1451, -2808, -4143, -5444, -6699, -7896, -9023?\nAnswer: -10068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -2*u - 8. Let h be k(-6). Suppose h*l + 5 = -15, 5*l = 2*g - 29. Suppose -g*z = z + 9. Which is greater: -4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n. Let y(j) = -2*j**2 - j - 2. Let o(v) = -6*i(v) - y(v). Let u(a) = -a**3 - 3*a**2 + 2*a - 5. Let d be u(-4). Let b be o(d). Solve -b*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 2605801, 5211605, 7817409, 10423213?\n\"Answer: 2605804*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*f**3 + 3*f**3 - 2*f**3 + (-f**3 + 5*f**3 - 5*f**3)*(-2 + 0 + 1) + 296*f**2 - 49*f**3 - 296*f**2.\nAnswer: -50*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the third derivative of -i**4\/24 - 3611*i**2. Let b(c) = 7*c + 3. Let z(t) = -15*t - 6. Let k(o) = -13*b(o) - 6*z(o). What is k(y(l))?\nAnswer: l - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**3 + 93*g**2 - 3778*g + 363974. Give p(94).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**3 + 3*j**2 + 2. Let x be r(3). Suppose x*b = 128 + 4. Suppose -2*l + b = 24. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:21 PM and 11:41 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (22\/6)\/(2\/(-30)). Suppose -7*c - 19 = 142. Let h = c - t. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, 5, 455, 120 in ascending order.\nAnswer: -5, 1, 5, 120, 455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-3))\/(6\/(-9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 != -2\/313807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j\/(j\/j**0*j))**0\/(j**(3\/7)*j**1))\/((j**(-4)*j*(j*(j**(-2\/11)\/j)\/j)\/j)\/(j**(4\/7)\/(j\/(j**(1\/2)*j)))) assuming j is positive.\nAnswer: j**(743\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1034 + -425. Is 21 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 1226*a**2 - 6*a + 4. What are the prime factors of g(1)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10 + -8. Suppose 0 = q*y + 4*n + 4, -5*n = 4*y - y + 4. Calculate the remainder when (29 - (y - 0)) + -1 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((0 - 1\/21)\/((-6)\/(-72)))\/1. What is the third smallest value in 4, 125, -2\/17, x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2*v)*(-v + 1 - 1) - 3 + 3 + v**2 + (0 - 4 + 3 + (4 - 3 + 0)*(0 - 1 + 0))*(-65 - 11*v + 65)*(-3*v + 0 + 0).\nAnswer: -63*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 624*f**5*p**2 + 162*f**3*p**2 + f**2*p**2 - f - 2117*p**2 wrt f?\nAnswer: 37440*f**2*p**2 + 972*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that 4*l**3\/5 - 164*l**2\/5 - 68*l - 172\/5 = 0.\nAnswer: -1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 11\/(924\/(-60))*-7. Solve 19 + 1 = 4*g, -j = 5*b - g for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = w, -w - 18 = 2*a - 0*w. Let q(l) be the third derivative of 1\/120*l**6 + 2\/15*l**5 + 0*l + 1\/3*l**4 + 5\/3*l**3 + 0 + 19*l**2. What is q(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14447.1 * 221.3\nAnswer: 3197143.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*w = 6*w - 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 8866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:01 AM and 7:46 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -615 + 3*f + 615.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-10)\/(-15)*9*(-76)\/6. Let i = d - -92. Solve 6 - i = -2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -3\/271 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -22, -3, -2, 4 in increasing order.\nAnswer: -22, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p. Let t be 2\/9 - (-16)\/9. Suppose 0*u - 8 = 4*u, 5*b - 2*u = -56. Let m = b + 11. Let g(a) = -1. Give m*g(y) + t*n(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**2 - 3. Let k(w) be the second derivative of -w**2\/2 + 3*w. Let u(r) = 3*k(r) - x(r). Let b(n) = -3*n. Determine b(u(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 3, t: 7}. What is prob of sequence ddd?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + (-8 - -3) + (5 - 7) + -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11632086, 23264178, 34896270, 46528362?\nAnswer: 58160454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -2*j**2 + 12*j + 2. Let n(p) = -3*p**2 + 23*p + 3. Let s(w) = -3*n(w) + 5*u(w). Let g be s(-9). Let v(b) = 48*b**2 + b - 1. Is 16 a factor of v(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1530, -3145, -4744, -6321, -7870, -9385, -10860, -12289?\nAnswer: -13666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 73.44443753\nAnswer: 74.44443753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.36366436 to 2 decimal places.\nAnswer: -2.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -3*z**2 - 8 + 12 + 2*z**2 + 9*z. Let x be d(9). What is the biggest value in -1, 0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 1\/2  (b) 418  (c) 0.4  (d) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 318 - 348. Let y be (3*2)\/(6\/39). Let t = w + y. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0\/(-1))\/((-7)\/35*5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6 + -1a4?\nAnswer: -19e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -702090 < 91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1376 and 2298694?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/9, -8\/15, 0, -1.6, -13 in ascending order.\nAnswer: -13, -1.6, -8\/15, 0, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4\/(-6))\/(-5 + 670\/135). Suppose -n + 9 = -12. What is the units digit of (7 - 0)*p\/n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 7 = 3*i, -3*i + 9 = -5*h - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/4*0 + 39. Let s = -7 - -43. Suppose a = 5*m - s. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m + 2. Suppose 0 = -n + 2. Let o be f(n). Suppose 41 + 8 = 2*j + 3*i, -o*j + 128 = -4*i. Calculate the remainder when j is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -n - 2 + 2 + (-6*n + 4*n + n)*(4 - 3 + 1) - 3*n + 0*n + 5*n + 7*n + 11*n + 4*n + 1853*n + 34 + 43 - 3705*n + 1846*n in the form g + t*n and give g.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**2 + 14*n + 3. Let v be t(14). Suppose 0 = v*m - m. Let p be ((-12)\/30)\/((-1)\/25). Solve o - 3*g = -p, m*o = -o - 4*g + 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 29\/5 of a centimeter?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 42631, 170826, 384473, 683572, 1068123?\nAnswer: 1538126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.06, -1, -2\/9?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes before 9:32 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*s - 6 = 6*s. What is the second derivative of -3*q**4 - 2*q - 3*q + s*q wrt q?\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 20 and 658988.\nAnswer: 3294940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -5966*n - 4. Let w = 28 + -27. Let a be k(w). Let p = a - -16570. Round p to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((i\/(i*i\/(i\/(i*i*i**(3\/5)*i))*i))\/i)\/i)\/(i*i**(4\/9)*i))\/(i**4*(i\/((i**(-7)\/i)\/i))\/i))**(2\/7))**26 assuming i is positive.\nAnswer: i**(-51584\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5684\/203*285\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9839046ml in litres?\nAnswer: 0.0009839046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1307*w**2\/2 - 101947*w\/4 + 39\/4.\nAnswer: (w - 39)*(2614*w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 2453, 19726, 66651, 158066, 308809?\n\"Answer: 2473*r**3 - 12*r**2 - 2*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (78\/(-4))\/(-16 + (-17 - (-882)\/28)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/8  (b) 0  (c) 4684\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from {f: 3, n: 4, d: 4}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -11055, -43367, -97221, -172617?\n\"Answer: -10771*k**2 + k - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2792, 11224, 25286, 44984, 70324, 101312, 137954?\nAnswer: 180256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 332 - -7a?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -7*a**2. Let z(v) = -5*v - 3. Determine z(q(b)).\nAnswer: 35*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 49*y - 132*y + 58*y + 19 - 76. What is the units digit of k(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 441 and ((-30)\/14 - -3)\/((-32)\/(-3024))?\nAnswer: 3969","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes before 5:04 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does -1995\/11 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 65373884495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 - 69 = -5*r. Let l = r - -15. Let y = 52 - l. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1814a - 36?\nAnswer: -18182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*i = 4672 + 5474. Is 535 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 253340118 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -322\nAnswer: -3\/322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 11 + 42176?\nAnswer: 42187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 185525, 371014, 556505, 741998, 927493?\nAnswer: 1112990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.257 + 145.257. Let v = -0.1678 - -157.2678. Let q = z - v. Round q to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 38, -1935, -5240, -9889, -15894, -23267, -32020?\nAnswer: -42165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26922551 is divided by 2055.\nAnswer: 2051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/33 not equal to 1.393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -1 times 9669027\nAnswer: -9669027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 14365?  (a) -1  (b) 325  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -797, -6393, -21593, -51203, -100029, -172877?\nAnswer: -274553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-20)\/2*(-4)\/(1 - -3). What is the first derivative of -w + 2*x**4 + 30*x**4 - 6*x**4 wrt x?\nAnswer: 104*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 9*d**2 + 3*d + 4. What is r(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13091873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.4 - -10.6. Let s = c + -11. What is the smallest value in s, 5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 29796234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -26 + 42. Suppose -4*z = -l + 69 - 354, 15*z + 2*l - 1086 = 0. What is the greatest common factor of y and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 163*g = -162*g - 12, 5*g - 18 = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -8137, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the first derivative of b**4\/4 + 8*b**3\/3 - 6*b**2 + 11*b + 28. Is 16 a factor of j(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -105 + 102. Let c = -41.9 + 42. What is the closest to c in g, 5, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(264)\/(sqrt(11) - sqrt(11)*-2) + sqrt(216)*-6)\/((sqrt(288)*-1 - sqrt(288))*2 + sqrt(288)))**2.\nAnswer: 2809\/972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.7519 + 1.3519. Which is the nearest to u?  (a) 0.4  (b) -0.3  (c) 3\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 941 is divided by 151?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 94173 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 270900 a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -38 - -25. Let b = 22 + y. Let u be (-166 + 172)*2\/2. What is the highest common divisor of u and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 + 9 = 4*j. Let b(n) = -4*n + n**3 + j*n**2 + 4 + 0 - 2*n**3 - 7. Suppose 0 = -2*c - 8, 0 = 5*o - 0*o - 4*c - 41. Give b(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**3 - 18*u**2 - 86*u - 20. Determine o(22).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.06 - -5.94. Let g = a - 2. Sort g, -1\/4, 2.\nAnswer: -1\/4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/16 - ((-146)\/(-8) - -2). Let a(j) = -j**2 - 9*j + 175. Let i be a(u). What is i rounded to 0 dps?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -k - 34*k - 11*k - k.\nAnswer: -47*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 + 29. Solve 13 = 5*q + f for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17 + -0.06809371.\nAnswer: -17.06809371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -107939 - 130214 = 3008*d + 60522 - 67059 for d.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(121) - (sqrt(121) - sqrt(121)*3))\/sqrt(11) - (sqrt(11) - (sqrt(99) + sqrt(99)*5)))**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1\/4*t**2 - 89\/4*t - 129\/2 = 0. Calculate t.\nAnswer: -86, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -105 + 145. Differentiate 29 - 65 - 13*r**2 + t with respect to r.\nAnswer: -26*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(((u*u**(-6\/13)\/u)\/u*u)\/u*u)*u*u*u)\/u*(u\/u**(-32)*u*u*u)\/u*u**(-1\/23)\/(u**(-33)\/u) assuming u is positive.\nAnswer: u**(21653\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 20, l - 5*l - 506 = -3*v. What is the remainder when v is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 4, -81, -102 in descending order.\nAnswer: 4, 3, -81, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 90\/(-240) - 2582\/(-16).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000316639632 rounded to seven dps?\nAnswer: -0.0000317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -5155, -10232, -15309, -20386, -25463?\n\"Answer: -5077*j - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 102988446?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 6, r: 12}. What is prob of picking 2 h?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 56 - (0 - 2) - (5794 + -5814).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 100 + -102. Put -3, 1, r, 0 in increasing order.\nAnswer: -3, r, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/10)\/((-1484)\/(-140) - 5).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000034017 rounded to 7 dps?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z - 10. Let j(q) = -q + 11. Give -3*j(k) - 4*m(k).\nAnswer: -k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20250?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 145 - 25. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2270 at most -2332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -114 (base 8) to base 7.\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*o**2 + 59 - 4*o**2 + 37 + 119*o - 119*o.\nAnswer: -2*o**2 + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -50613*n + 90327*n - 47771*n to s + y*n and give y.\nAnswer: -8057","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, w: 1, m: 1}. Give prob of sequence wm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 53, -348, 1 in decreasing order.\nAnswer: 53, 1, -348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -657.51493 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (28\/8)\/((-196)\/(-112))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 2:20 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (1 - -1) + 3 + -9 + 9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12*o*t**2 + 2*o*t - o - 2474*t**2 - 4*t + 2629 wrt t.\nAnswer: -24*o - 4948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 47 - 33. Let c = 35 - b. Suppose 0 = 5*g + 6 - c. Put g, 5, -1 in descending order.\nAnswer: 5, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes before 3:20 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 24*v**2 - 1 - 49*v**2 + 25*v**3 + 24*v**2 + v + 0 + 17*v**3 - 28*v**3. Let n be (-2 - 2\/(-2)) + 2. Give k(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1508557 to the power of 1\/2, to the nearest integer?\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 + -1838?\nAnswer: -1835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**4 - 33*v**3 - 27*v**2 + 357*v - 294.\nAnswer: -3*(v - 2)*(v - 1)*(v + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 + -1. Suppose 0*y = y - p. Let f = 1399 + -1350. Calculate the highest common factor of y and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the first derivative of -1706*q**3 + 5*q**2\/2 + 94*q - 5299. What is the second derivative of d(l) wrt l?\nAnswer: -10236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -578319250 divided by -1.\nAnswer: 578319250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 28*j + 47. Let a(p) = 139*p + 233. Let h(q) = -2*a(q) + 11*u(q). Let o be 3*2*(-12)\/(-9). Is h(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 4*h**5 + 3544756*h**4 + 785339805568*h**3 + 3926638767184*h**2 + 6282590833792*h + 3141288327424 = 0.\nAnswer: -443092, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 104 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 9165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = l - 22. Suppose 0 = 4*v - 4, 5*w - l*v + 6*v = 76. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1380 and 780.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or 123234\/27275?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 814125 and 27.\nAnswer: 7327125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**2 - 204*g + 4. Let b(s) = -4*s**2 - 1020*s + 20. Give 3*b(w) - 14*c(w).\nAnswer: 2*w**2 - 204*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 divided by 112036.\nAnswer: 2\/28009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -6435 divided by 55?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21 + -1 + (-11)\/1045*1898.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {f: 1, d: 1, g: 4, u: 1, k: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 6.323333 nanoseconds?\nAnswer: 0.000000006323333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes before 10:11 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -258 = 14*j + 29*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-45 + 46)*(13\/12 + -1). Let b be (2\/(-12))\/((-4)\/(-6)). Let p = b + d. What is the second biggest value in 4, 3, p, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j - 75 - 5 = 35 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i + t + t + 154, -i + 164 = 3*t. Suppose -3*c - 188*x + 186*x = -18, 28 = -c + 5*x. Suppose -c*h + o + 65 = 2*o, 0 = -5*h - o + i. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - 5*m - 72. Let b = 0 + m. List the prime factors of (b\/(-27))\/(4\/150).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 240 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/7, -315, 8?\nAnswer: -315","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(1\/8))\/(i*i*i*i**(-3\/11)*i) assuming i is positive.\nAnswer: i**(-229\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*o - 8*o + 883*o**3.\nAnswer: 883*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 439?  (a) 14  (b) 32  (c) -86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**3 + m**2 + m - 1. Let a(u) = -u**3 - u**2 - u + 1. Let r(c) = -6*a(c) - 7*h(c). Let i(q) = -4*q**3 - 7*q**2 - 6*q + 5. Determine i(s) - 6*r(s).\nAnswer: 2*s**3 - s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4442 + 4442.002551. Round i to 4 decimal places.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 4*u - 34 = 0, 4*v - 5*u = 2*v - 2. Let f be (-4 + 2 + 1)\/(-1). Let r = 14 - f. What is the remainder when r is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1119 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -22643200 rounded to the nearest 100000?\nAnswer: -22600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11, 2, -7, -16, -25, -34?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ncss when four letters picked without replacement from {s: 4, n: 10, h: 1, c: 5}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-1)\/(-1))\/(15\/(-150)). Let m be (-1)\/(-2) - (-2705)\/x. Round m to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*a**2 - 4*a**3 + 664 - 2354 - 7*a**2 + a**2 as k*a**2 + v + g*a**3 + r*a and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10738 + 68729. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 46.26397 hours?\nAnswer: 166550292000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 14?  (a) 0.007  (b) 4\/9  (c) -5  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 8*j**2 - 48*j + 24. Let f be o(28). Suppose -f = -5*l + x, -21*l + 19*l - x = -1978. Is 90 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((sqrt(600)\/(-1*sqrt(360)))\/(sqrt(120)\/(sqrt(160)\/sqrt(4))))**2.\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Total of -4.39725 and 27580261.\nAnswer: 27580256.60275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 174954 by -18.\nAnswer: -29159\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from epoxxexxb. Give prob of picking 1 e, 1 b, and 1 o.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000383271 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1\/148 + 291\/740. Let v = 0.19 + -0.32. Let l = v + 5.13. Which is the closest to -2?  (a) w  (b) 0.5  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25474000 rounded to the nearest one hundred thousand?\nAnswer: 25500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 170669 take away 2?\nAnswer: 170667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pb when two letters picked without replacement from cccccccbcpccc?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1015071, -1015143, -1015325, -1015671, -1016235?\nAnswer: -1017071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -5*g - 84. Let z(x) = 4*x + 61. Let t(h) = -6*l(h) - 9*z(h). What is t(-5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39550468.\nAnswer: 2, 9887617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000897 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**2)**(-13\/6)*((q\/(q**3\/q*q))\/q)\/(q\/q**(1\/9)) assuming q is positive.\nAnswer: q**(-187\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -456*v + 5. Let a(m) = -149*m + 1. What is 19*a(z) - 6*t(z)?\nAnswer: -95*z - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 3*k - 1050, -5*u = -4*k + 1286 + 145. Calculate the remainder when k is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 334762 and 13?\nAnswer: 4351906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-1\/44)*(r*(r**(10\/3)\/r)\/r)\/r assuming r is positive.\nAnswer: r**(173\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -351 + 1051\/3. Let g = -17 - -16.7. What is the closest to y in 1\/4, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64116543?\nAnswer: 3, 21372181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**3 - 21*y**2 + 32*y + 107. What is s(19)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 - 60 = -14*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of -h**7\/1260 - 11*h**4\/12 - 21*h**2. Let u(o) be the second derivative of v(o). Let n(m) = -28*m. Calculate n(u(a)).\nAnswer: 56*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (160\/616 - (-4)\/14)\/3. Which is the nearest to 15?  (a) 0.1  (b) -0.1  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r - 1. Suppose -6*w + 2*h = -3*w - 51, 2*h = -6. Let c be 2\/(-2 - (-40)\/w). Let u(b) = -2*b - 4. Calculate c*u(i) - 12*a(i).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 23\/5 + ((-565)\/113 - 38\/(-10))?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 43152 and 30?\nAnswer: 215760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14 + 17. Suppose 0 = -t*x + 7 + 5. Suppose -x*k = -147 - 89. List the prime factors of k.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9825*i**2\/4 - 127731*i\/4 + 39\/2 = 0. Calculate i.\nAnswer: 2\/3275, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -1669*y - 14995. Calculate c(-9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5.033 - 0.177. What is u rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**2 + 525*x + 26883. Give i(-47).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pdue when four letters picked without replacement from {p: 2, v: 1, e: 2, q: 3, d: 2, u: 4}.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3*1 + (-465)\/(-153). Let m = 55\/102 - g. Factor -1\/4*d**4 + 0*d**2 + 1\/4 + m*d - 1\/2*d**3.\nAnswer: -(d - 1)*(d + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5113907 by 5.\nAnswer: -5113907\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13\/2 - -7. Let c = -0.028 - -2.028. Sort c, p, -0.5 in descending order.\nAnswer: c, p, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the second derivative of -w**4\/12 + 13*w**3\/6 + 16*w**2 + 4*w. Calculate the remainder when o(14) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the second derivative of -m**5\/24 - m**4\/8 - m**3\/3 + 2*m. Let s(d) be the second derivative of k(d). What is the units digit of s(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbm when three letters picked without replacement from {b: 3, m: 5}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u + 3. Let f be 0*(0 + 2\/4). Let r be p(f). Suppose r*j - q = 178, j + 10 = 5*q + 74. What are the prime factors of j?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 55873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -210 divided by -70\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/27 + 0 + (-1886)\/(-180). Let i = r - 21\/2. Factor i*p**2 + 4\/5*p + 4\/5.\nAnswer: (p + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1333131 (base 5) in base 12?\nAnswer: 13963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(13) - sqrt(104)\/(sqrt(24)\/sqrt(3)) - (sqrt(13) + (-1*sqrt(1300))**2 - sqrt(13))) + -1)*-3.\nAnswer: 3900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 11 + -6 - (4 + -7 - 2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m**2\/9 - 434492*m\/9 + 2027368\/3 = 0. What is m?\nAnswer: 14, 108609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/(-27) - 31865\/(-122265). Let q = d + -2\/247. Let -2\/11*i + 2\/11*i**3 + q - 6\/11*i**2 + 2\/11*i**4 = 0. What is i?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 204298 (base 10) in base 13?\nAnswer: 71cb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12\/729823 or 0?\nAnswer: -12\/729823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 9145048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the first derivative of -3*g**3 + 2019*g**2\/2 - 672*g - 11960. Determine y so that t(y) = 0.\nAnswer: 1\/3, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 46 - 38. Suppose 15 = 13*n - v*n. Solve 0 = -5*d + n*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.106 * 24.\nAnswer: -74.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 503*i**2 + 114*i + 2*i - 118*i as k + x*i + l*i**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((m\/(m*(m*m**(9\/4)\/m*m)\/m))**(-47))**(18\/11))**(4\/15))**24 assuming m is positive.\nAnswer: m**(60912\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -335590*s - 380753.\nAnswer: -335590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 34\/2169 and -19\/723.\nAnswer: 2169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20.55*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 48657?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {r: 8, f: 11, w: 1}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-4 + sqrt(300)).\nAnswer: -24 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -208*f - 939*f = 47027 for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1556210 = 5*l - 5*k, 98*l - 3*k + 1556282 = 103*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 161 divided by 161?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**23\/j**10 assuming j is positive.\nAnswer: j**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (1031 - 1063) + (-2 - -9)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t + 31 - 35, -4*t + 4 = -5*v. Which is the nearest to v?  (a) -3\/2  (b) -1  (c) 0.4  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m + 1. Let j(b) = b**2 - 3*b + 3. Determine j(f) - 3*z(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4\/9  (b) -1\/4  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -s + 2, 1 + 7 = 3*x + s. Let m(r) = -3*r. Let w(i) = -i**2 - i - 1. Let h(v) = x*m(v) - 3*w(v). What is the first derivative of h(y) wrt y?\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -0*m - 3*m. Suppose -5*i + 1 = m*b, 0*i = 3*i + 3*b. Let o be ((-2)\/8)\/((-8)\/96). Put o, i, 4 in increasing order.\nAnswer: i, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xzxxqqx. What is prob of picking 2 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9 - 6*o - 101 + 27*o wrt o.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (18\/530)\/(30132\/8370)?\nAnswer: 1\/106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 5*u = 0, 9*w - 10*w - 3*u = -4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -110*c*x**2 + 9*c*x + 12653*c - 213719*x**4 - 2*x + 9 wrt x?\nAnswer: -220*c - 2564628*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-600)\/2250)\/((-8)\/5) - 423\/(-378)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-6)\/14)\/(28\/(-196)). Suppose 0 = m - 5*y - 21, -5*y + 1 = t*m - 2. What is the remainder when 226 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -13*j**3 - 20*j**2 + 7*j + 5. Let k(s) = -6*s**3 - 9*s**2 + 3*s + 2. Calculate -7*k(b) + 3*p(b).\nAnswer: 3*b**3 + 3*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*z**3 - z**4 + 4 - 2*z**2 - z**4 - 6 to the form k + h*z + c*z**4 + s*z**2 + w*z**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 2*v**2 + 9*v**4 + 2*v**4 - 2*v**3 - 4*v**4 to the form g*v**2 + m*v + y*v**3 + c + b*v**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 159 divide 40545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(840\/119))\/((-17)\/85).\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 468*a**2 - 2*a + 1. Let q = -4 - -33. Let l = 30 - q. Is o(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d - 322 = -343. Solve -5*c - 1 - 12 = -d*q, c - 2*q = 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 44142 - -6?\nAnswer: 44148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 8, y: 2, p: 2, t: 2, w: 3}. Give prob of picking 1 y and 1 t.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - 370571077?\nAnswer: -370571074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + ((-17 - -19) + 0 + -17 - -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 135548 (base 9) to base 6\nAnswer: 1435242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**2 + 682*z + 2755. Give y(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-12\/11)\/((c\/((c\/((c\/c**(8\/3))\/c))\/c))\/c)*(c**(-6)*c)**50 assuming c is positive.\nAnswer: c**(-8198\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4250*i - 578*i + 3711*i to the form u + c*i and give c.\nAnswer: 7383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the third derivative of -j**6\/120 - j**5\/15 - j**4\/12 - j**3\/2 + 11*j**2. Let b = -1 - 3. Calculate q(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 13*q**5 - 15*q**5 + 10*q**5 + (q**5 + 0*q**5 - 3*q**5)*(1 - 4 + 2) - 32*q + 4*q**5 + 32*q.\nAnswer: 14*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 163, 630, 1083, 1516, 1923, 2298, 2635?\nAnswer: 2928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4652 - -4679. Solve -8*l = -w*l + 95 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n and 1 o when four letters picked without replacement from nnpnobnnodolbdboldno.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001 times 0.03?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*k + 4*y - 156, -2*k - 3*y + 36 = -78 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1487 divided by 1487.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 4*z - 2. Let t be w(1). Suppose 4*p + p - 112 = -4*k, -t*k = -5*p - 86. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 236316 is divided by 118153.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3311.734l in millilitres?\nAnswer: 3311734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = x - 14, x - 4*k = -3*k + 10. Determine c so that 5*c**2 - c**2 - x*c**3 + 7*c**3 - 2*c - c**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 11 or 0.3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*s**2 + 282*s - 6627 = 0. Calculate s.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + 6 - 3. Let a = 3 + q. Suppose 16 = a*p, -3*p - p - 122 = -3*k. List the prime factors of k.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 235580, 4 in decreasing order.\nAnswer: 235580, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -8 + 0 + (96 - (51 + -19) - -64).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20\/15*(72\/40)\/(6\/(-4)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 715 and 1144.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -3, 34, 1096957.\nAnswer: -4, -3, 34, 1096957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:13 AM and 6:40 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -104453629*s**2 - 104453576*s**2 + 208907207*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**3 + c**2 - c - 19. Determine n(5).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ahdh when four letters picked without replacement from haaddaaahddad?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -115983622 less than 0.2?\nAnswer: 115983622.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 17532479 and -0.08?\nAnswer: -1402598.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 700201744.\nAnswer: 2, 11, 1223, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 4*p - 6. Let y be d(6). Let k(f) = f**2 + 1. Suppose 3*l - 15 = -3. Suppose -l*t + t = 6. Let q(h) = 10*h**2 + 9. Determine t*q(a) + y*k(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = 2*s + t + 17, 0 = -4*s + 4*t - 116. Let j = s - -38. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35131152139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 2 = 8. Suppose 0 = -n*d + 32 - 0. Let t be 3\/(6\/(-16)*-2). Calculate the greatest common divisor of t and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*g - 4*g + g - 7*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 3, l: 8}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17438, -17440, -17444, -17450, -17458, -17468, -17480?\nAnswer: -17494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 1:44 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -24 - 1034?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-441)\/490 + (-15)\/(-100) + 1\/(-4). Is g > 65\/516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (12 + -10)*6\/(-4). Put 3, m, 2 in decreasing order.\nAnswer: 3, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 3*l**3 - 5*l**2 + 12*l + 5. Calculate the remainder when b(4) is divided by 3\/9 + 125\/3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the second derivative of d**4\/12 + d**3\/2 - d**2\/2 - 5*d. Determine v(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-2\/11)\/n*n**4*(((n\/(n**0*n*n))\/n)\/n)**(-36))**(-46) assuming n is positive.\nAnswer: n**(-56580\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -42*s**3 - 2*s**2 - 3*s - 5. Suppose -5*j = 4*y + 10, j - 6 = 4*j - 4*y. List the prime factors of g(j).\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 2 v, and 1 o when four letters picked without replacement from vivvioovvvvvvvvvi.\nAnswer: 99\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 670 - 580. Suppose -73*k + 58*k = -l. Solve -g - 2*g - k = -d, -5*d + 5*g + 10 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -38.25 - 0.25. Let p = q - -34. Let b = p - -3.6. What is b rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -264 = 52*r - 1408. Solve 5*q = 4*v - 28, 4*q - r*v = -17*v - 26 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23594.\nAnswer: 2, 47, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1235 and 416?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 10001 (base 3) in base 14?\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (-1 + (sqrt(684) - sqrt(684)*3))*6 + -6*(sqrt(684) - sqrt(684)*1*-2))**2 + -2.\nAnswer: 1440*sqrt(19) + 615614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -201120011002 + -110101?\nAnswer: -201120121110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 4*x = 3*j - 81, -3*j = -2*x - 31. Let s(z) = -3*z + 0*z**2 + z**2 - z - 3*z - 7. Calculate the remainder when s(10) is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/6)\/((-280)\/11760).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -20 - 3. Let y = h + 28. Solve -y*m - 2 + 12 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1263 = 5*z - 1607. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26227 (base 9) in base 11?\nAnswer: 12316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 102 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20\/8*4\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k + o - 29, -k + 5*o = 3*k - 71. What is the smallest common multiple of k and 27?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -2*i**2 + 268*i - 740. What is the smallest common multiple of v(130) and 3675?\nAnswer: 14700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((4\/(-12))\/((-3)\/9))\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -23, -43, -35, 13, 113, 277, 517, 845?\n\"Answer: 2*p**3 + 2*p**2 - 40*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 2*h + 45 = 0, -2*y + 1520*h = 1515*h + 18 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 93*b - 97*b - 8 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1987782 is divided by 1669.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 6*j**2 - 27*j + 67. Let z(q) = q**2 - q. Let u(g) = -d(g) + 5*z(g). Let i be u(8). Solve -5 = -46*s + i*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 121, -3 in ascending order.\nAnswer: -3, 3, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -3830975 bigger than -3830976?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -1147*w + 2313. Let n be r(2). Which is the nearest to n?  (a) -2\/13  (b) -1\/2  (c) 8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -181 - -180.99981. Round y to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.56078679 take away 616?\nAnswer: -617.56078679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 5991 * -0.3\nAnswer: -1797.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 + 7. Factor q + 5*q**2 + 3 - p*q**3 + 4*q**3 + 6*q + 5*q**3.\nAnswer: (q + 1)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**2 - 5. Let c be x(-3). Do 3 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6161179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 + 2*o)*(71 - 39 - 31 + o)*(1 - 1 - o) in the form u*o + l*o**2 + m*o**3 + k and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -37*q + 27. Let u be h(-5). Suppose -216*i + 240 = -u*i. Suppose w = -4*a + 43, 5 - 14 = -2*a - 3*w. Calculate the highest common divisor of a and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 10\/19*g + 12\/19*g**2 - 2\/19 = 0.\nAnswer: -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the first derivative of 125*m**2\/2 + 874. Let g(t) = -2*t. Give g(b(l)).\nAnswer: -250*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -28 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bopz when four letters picked without replacement from tbobbpobbbzzbbtozoo.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 114 + -46. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 - 9*w**2 - 169*w + 130. Let o be r(18). Solve -3*m + o*g = -17, -3*m + 39 = 4*g + 62 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**5 + 16*p**4 - 12*p**3 - 56*p**2 - 32*p.\nAnswer: 4*p*(p - 2)*(p + 1)**2*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 798 - 784. Suppose -135204503 + 8224503 = -k*r. Round r to the nearest 100000.\nAnswer: 9100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32 - 10194*g - 3 - 4 - 25.\nAnswer: -10194*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -3, -5, 2, -2.\nAnswer: -10, -5, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1595?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*t*w**3 + t*w - 5*t + 2*w**3 - w wrt w.\nAnswer: -18*t*w + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**3 + 3*w**2 + 2*w + 1. Let z be f(4). Let k(x) = -x**2 - 8*x - 5. Let d be k(z). Suppose 0*y + 10 = d*y. Put y, -3, 4 in decreasing order.\nAnswer: y, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 k, and 1 n when three letters picked without replacement from {w: 2, y: 3, e: 1, k: 1, l: 1, n: 10}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**5\/9 + 7*x**4 + 147*x**3 + 1029*x**2.\nAnswer: x**2*(x + 21)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 4*j + 21 = 0, -5*l - 3*j + 0 + 20 = 0. What is the units digit of (-140)\/(-2) - l\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3795927842 minus 671?\nAnswer: -3795928513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 57*z + 27 = -58*z, u - 5*z + 5 = 0. Suppose 6*h - 4*h = 0. Solve -2*v - 5*p - 30 = h, 4*v - 3*p = -u + 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-1*sqrt(130)*-6*3)\/((2*sqrt(120)*-3)\/(sqrt(144)\/sqrt(192))).\nAnswer: -9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 6 - 3. Let y be (-3)\/(-9) + -2 - b. Let n = 1.4 + -1. What is the closest to y in -2\/5, 4\/9, n?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v**2 - 1233*v = 0.\nAnswer: -1233, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 51745*w**3 - 58796*w**2 wrt w?\nAnswer: 310470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8 + 4. Suppose -2*c - 5*r + 6 = -14, -2*r = -3*c - 8. Let h be (-35)\/(-28) - 6\/4. What is the nearest to h in c, -1\/11, z?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - d + 3)*(9 - 30 - 2*d**3 + 11).\nAnswer: 2*d**4 + 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**2 + q - 2. Let k(g) = 5*g**2 - 6*g - 29. Give 4*c(j) + k(j).\nAnswer: j**2 - 2*j - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 21*t**3 + 74*t**2 + 6. Let d(b) = -64*b**3 - 221*b**2 - 17. Let k(h) = 6*d(h) + 17*w(h). Find the third derivative of k(z) wrt z.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 6 = -4*z + p, z + p - 2 = 0. Let m = 12 - z. Differentiate 1 + 6 - m*k**3 + 16*k**3 with respect to k.\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (9\/(-4))\/(7\/(-56)). Let n(b) = 2*b - 12. Let v be n(5). Let s be ((-3)\/v)\/(3\/216). Calculate the greatest common divisor of s and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 99 divide 13273524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 23021 (base 5) to base 3\nAnswer: 2020121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1959302*i - 67362 = -1958648*i for i.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c + 90 = 5*l + 70, 40 = 4*l - 12*c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide ((-17)\/(-2))\/(45\/4770)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u**4 - 345*u**2 - 300*u**3 - 175*u - 3*u**3 + 138*u**3 = 0 for u.\nAnswer: -1, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 348333458?\nAnswer: 2, 11, 41, 9419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the second derivative of -j**3 - j**2\/2 + 77*j + 2. Determine b(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 5*f = -15725, -f + 10705 - 4400 = 2*l. Is l a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 4, e: 1, n: 6, q: 9}. What is prob of picking 1 e and 1 d?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -14.93, -0.1, 9\/70, -0.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/(-60)*(-190)\/38?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*(x**19*x*x)\/x)*x)**(-30) assuming x is positive.\nAnswer: x**570","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8 or 18184?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 2*u - 4. Let i be k(6). Suppose -i*s = -15*s + 28. Suppose 22 = 9*t + s. Solve -2*d - t*d = -16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -740 + 1190. Suppose 0 = 5*l - j + 130. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12\/(-16)*(16\/3)\/(-2) and 2329?\nAnswer: 4658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3071\/6, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/2 - (43 - (45 + -9)). Let l(v) = 15*v**2 + 2*v - 17. Let a(q) = 7*q**2 + q - 8. Give s*l(h) + 13*a(h).\nAnswer: h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rsr when three letters picked without replacement from rrrsrrrrrrrrr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(560)*-2*4*-5)\/((sqrt(28) - (-2*sqrt(252) - sqrt(252)))\/(sqrt(4) - sqrt(64)*1)))**2.\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 2 p when three letters picked without replacement from ppoopppppoo.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k**3\/7 - 62*k**2\/7 - 272*k\/7 - 40 = 0.\nAnswer: -2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 4  (c) -1\/2  (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 108 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 178*b = 171*b + 100597. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30184 is divided by 1586?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 plus -11589?\nAnswer: -11584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-1)\/(-4))\/((-3)\/6))\/(230\/(-92)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 65626.2 months in centuries?\nAnswer: 54.6885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes after 7:15 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w - 11. Let f be x(9). Let b(z) = -z - 4. Let t be b(0). Is f >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -2  (b) 0.4  (c) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 divided by -3?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -16*s + 1038. Calculate i(63).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the second derivative of c**3\/3 + 3*c**2\/2 - 2*c. Let z be 188\/12 - 11\/(-33). Suppose 9*t = -2*l + 6*t - z, 5*l = 2*t - 21. Determine x(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/17, 0.3, -8, -103, -711, 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 3\/8 of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 12*g**3 - 237796*g**2 + 1178100832*g - 392673856 = 0. What is g?\nAnswer: 1\/3, 9908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 - 595\/(-65) - (-10)\/(-65). Solve 4*o = -1 + a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, 4, 5, -61, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 413024 = 39*n + 413258 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -332062089892 - -0.4.\nAnswer: -332062089891.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**3 - q**2 + q + 25. Let z be (-2 - (-2 + 1)) + 1. Let i be g(z). Let s be ((-16)\/4 - -5) + 9. Solve -5*p - u + s = -4*u, 4*p = -u + i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -16970 greater than or equal to -16971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 + 5. Let p = -2.1 + v. Put -4, 4, p in decreasing order.\nAnswer: 4, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-120)\/(-52)*3328\/8448.\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**2 + 10*n - 5. Let w = -28 - -31. Let b be -5 - -8 - (w - 4). Let q be c(b). Solve 0 = -j - 3*j - i - q, -5*j + 2*i = 27 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -2*h**3 - h**2 + 3*h + 1. Let b be d(-2). Suppose 0 = -3*m - 5*z - 10 - 7, -m - 2*z = b. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.748155 millimeters in micrometers?\nAnswer: 748.155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 less than 1050.084134?\nAnswer: 1050.384134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 6 + -85336761?\nAnswer: -85336755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 (base 12) in base 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 162279\/127 or 1277?\nAnswer: 162279\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2450*j**3\/3 - 47725090*j**2 + 5454304*j - 467512\/3.\nAnswer: -2*(j + 58439)*(35*j - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 - -2) + 23 + -5. Suppose j = -2*z + 218. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4.8 or -0.5463?\nAnswer: -0.5463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1\/651 - 3\/31. Let t = -99357 - -99356. What is the smallest value in k, 5, t, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -33*a**4 + 61*a**3 + 19*a**2 + a - 64*a**3 + 35*a**4 as w*a + u + f*a**4 + s*a**2 + y*a**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3*3\/(-3))\/(1\/2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.2  (b) 1  (c) 3  (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 24*5\/100 - 0\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28301210669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = 4*r + 5. Let k(p) = -18*p - 12. Let c be k(r). Calculate the highest common divisor of 21 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.940507 micrograms in milligrams?\nAnswer: 0.009940507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15 - -9 - -10) + -7 - (-1 - -5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10917 = 2*i - 3*k, -4*i + 5*k - 3485 = -25320. What is i rounded to the nearest 100?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1861\/5 - 7069\/20. Let m = 607721 + -33425827\/55. Let z = -127\/5 - m. Find the common denominator of z and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -48*t*u**2 + 7*t + u**2 + 529 wrt t?\nAnswer: -48*u**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 32603539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1040266.\nAnswer: 2, 163, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -23*z + 16 - 85 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 5*u - 5*u - 17*u**2. Let b(p) be the first derivative of -2*p**3\/3 + 158. What is b(x(o))?\nAnswer: -578*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 164 * -0.0899.\nAnswer: -14.7436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111000 + 11001101110010011?\nAnswer: 11001101111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (34888\/(-42))\/((-1008)\/(-108)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o - 0*o - 72. Calculate the remainder when o is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and -30258?\nAnswer: 6051.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1076665, -1076636, -1076607?\n\"Answer: 29*f - 1076694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1004 - -996. Let c(l) = -l + 5. Calculate c(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/7 - 1209\/(-1302))*10\/(-4)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (24\/10)\/(3\/10). Suppose -28 = -5*l - j. Let p(n) = -n + 3. Let f be p(0). Sort l, f, 0 in ascending order.\nAnswer: 0, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 85507224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 36386140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*a - 2 - 20*a + 2 + 16*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -2*v + 42. Let k be j(20). Solve k*x = -3 + 13, 3*r = -4*x + 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n + v - 5, 9*v - 4*v + 5 = n. Let c(y) = 3*y - 6. Let u be c(4). Does n = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 282*r + 1410. Let t be u(-5). What is the nearest to 0 in t, 577, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7 and 372582?\nAnswer: 372582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1269344, 5077515, 11424468, 20310203?\n\"Answer: 1269391*h**2 - 2*h - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 42*q + 9. Let d(f) = 63*f + 13. Determine -5*d(y) + 7*n(y).\nAnswer: -21*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 115 = -0*f + f. Suppose -3*y + 69 = 5*p - f, 106 = 3*p + 4*y. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(5) + (sqrt(500) - (((sqrt(500) + 1 + sqrt(500))**2 - sqrt(500)) + sqrt(500))) - ((sqrt(245)*-1)**2 + sqrt(245)).\nAnswer: -2246 - 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 p when two letters picked without replacement from cccpcccppccc?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.684 + 0.186. Let v = g - 1. Suppose 3*t - 7*t = -8. Which is the second smallest value?  (a) v  (b) 0.5  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*x**3 + 475 + x**3 - 6*x**3 + 191.\nAnswer: -2*x**3 + 666","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -765 + 765.1. Let j be (6\/(-18))\/(8\/(-6)). Which is the nearest to j?  (a) d  (b) 23  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-536)\/2278 - (32\/17 - 2)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -44625057, -89250093, -133875125, -178500153?\n\"Answer: 2*k**2 - 44625042*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.06 and -130.2.\nAnswer: -130.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, z: 13}. What is prob of picking 2 k?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -37  (b) 2  (c) -0.111  (d) 12\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2756124841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 3, m: 12, e: 2}. What is prob of sequence em?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, -0.4, 213 in ascending order.\nAnswer: -0.4, -2\/7, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the second derivative of -11*y**6\/30 + 15*y**4\/4 - y + 5. Find the third derivative of k(g) wrt g.\nAnswer: -264*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -99001*o**4 + 14054 with respect to o.\nAnswer: -396004*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 78041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 12*w + 1. Suppose -3*b + 1 = -5, 422 = 4*f - 3*b. Let u = -100 + f. Suppose u - 1 = 6*z. What is t(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.6 + -3.4. Let a = 1180\/6611 + 2\/601. Let z = 0.0457 + -0.5457. What is the nearest to t in z, a, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 + 0. Calculate the common denominator of 9\/(-10) - 2\/4 and f + -1 + 180\/(-66).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.013474787 to 6 dps.\nAnswer: 0.013475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -2*a**3 - 3*a**2 + a - 2. What is c(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6, -9, -24, -39, -54, -69?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 144 = 2*w - 6*g + 3*g, 0 = -5*w - 3*g + 339. What is the remainder when w is divided by (-77)\/(-2) - (195\/(-26) + 10)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 506540 is divided by 330.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -84  (b) -2\/17  (c) 3  (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f - 2*f + 2*f + (3 - 2 + 2)*(-9*f + 5*f - f) + 501*f + 8 - 1024*f + 512*f.\nAnswer: -28*f + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 718765382?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 215198?\nAnswer: 2, 107599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -199219 + 3354 = -22*t + 846517. What is the thousands digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 2 + 2)*(-3*y**2 + 2*y**2 + 2*y**2) + (y - y - y)*(-19*y - 65*y - 24*y) to the form k + q*y + a*y**2 and give a.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - v + 3)*(-1 + 0 + 3) + 4*v + 0 - 1 - 5*v.\nAnswer: -3*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -5*t - 22. Let s = 12 + t. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**2 + r - 1. Let z be k(0). Let n be z + -10*2\/(-4). Let d = n + -6. Round d to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m - i - 13 = 0, -4*m - 11*i + 4 = -15*i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 163, 171, 189, 223, 279, 363, 481?\n\"Answer: d**3 - d**2 + 4*d + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 91.48715 - 78.487208. Let s = n - 13. What is s rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 45.5 - 43. Let m = o - 3.7. Round m to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7426*a**5 - 7434*a**4*s**3 - 6*a**2*s**3 - 2*a**2*s**2 + 3*a*s**3 - a*s - 52*a - 315*s**3 wrt a?\nAnswer: 445560*a**2 - 178416*a*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**3 + 16*c**2 - 13*c + 32. What is the remainder when v(15) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the second derivative of -o**3\/6 - 5*o**2\/2 - 2*o. Let i be (9\/(-6))\/(3\/(-8)). Give f(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 315 + -318.58. Let p = u + 7.58. Which is the second biggest value?  (a) 0.05  (b) 0.4  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((sqrt(171) - (sqrt(171) + (sqrt(171) + 2*sqrt(171))*1)) + sqrt(171) - -6*sqrt(171)*1))\/((sqrt(144)\/sqrt(128))\/(sqrt(10)\/(-1*sqrt(5)))).\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 374661063*h**3 - 103*h**2 - 2732530.\nAnswer: 2247966378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/71224 and -89\/406.\nAnswer: 498568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m + 1488 + 1788 = 0. What are the prime factors of m?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-33)\/q*q*q*q**(-5\/2) assuming q is positive.\nAnswer: q**(-69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 5, 18, 63, 158, 321, 570, 923, 1398?\n\"Answer: 3*v**3 - 2*v**2 - 2*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 15) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the first derivative of -s**2 - 2*s + 998. Let l(d) = -d**2 + d - 1. Calculate 2*l(z) - q(z).\nAnswer: -2*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 151335 + -215?\nAnswer: 151120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 22205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vssssvs. What is prob of picking 2 s and 1 v?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 662754 by 375.\nAnswer: 220918\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -312 - 228210?\nAnswer: -228522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20260218 and 30390327?\nAnswer: 60780654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0*v + 5*v - 2*v)*(2*v**2 - 2 + 2).\nAnswer: 6*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 738\/7 + -105. Let n = 13 + -18. Which is the biggest value?  (a) u  (b) n  (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 73908.4 hours to milliseconds.\nAnswer: 266070240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9 - 15. Let j = -3 - z. Suppose -2*d + 122 = j*o, -3*d + 2*d = -2*o - 68. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 56 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 - -8. Suppose n*v = 4 + 5. Sort -5, v, -2\/17.\nAnswer: -5, -2\/17, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, u: 2, f: 1, r: 1}. Give prob of picking 1 f, 1 w, and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 5*f + 36. Let c be y(-6). Solve c*k = k - 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h + 2*b = 4*b, -2*h + 2*b + 4 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c - 5*c + 14. Calculate the least common multiple of c and 0 + -1 + (-6)\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/5 or 12204803?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 546039 + -546039.0600002. Let t = -0.06 - p. Round t to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.88 - 2.58. Let h = 49 - 53. Which is the second smallest value?  (a) -2\/19  (b) h  (c) -1  (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.1  (b) 5\/2  (c) 19  (d) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 35 = -39*t + 40*t, -125 = -8*a + t for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the second derivative of u**6\/105 - u**4\/42 - 5*u. Factor t(r).\nAnswer: 2*r**2*(r - 1)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**3 - 2*j**2 - j - 51. Let q be r(0). Is (53476\/6)\/((-34)\/q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 55640195, 55640196, 55640197?\n\"Answer: l + 55640194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -64\/3 and 31\/258.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/780 and 43\/21294?\nAnswer: 212940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 86, 314, 552, 806, 1082, 1386?\n\"Answer: u**3 - u**2 + 224*u - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*s + 3*s + s**4)*(1 + s - 4*s + 5*s) + (s - 2 - 3 + 2655*s**2 - 2663*s**2)*(-5*s**3 - 3 + 3).\nAnswer: 42*s**5 - 4*s**4 + 25*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62*l**2 + 11*l**2 + 15*l**2 + 15*l**2 + 13*l**2.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the third derivative of x**5\/60 - x**4\/24 + x**3\/6 + x**2. Suppose -5*u - 27 = 3*o, 0 = -5*o - 4*u - 24 - 8. Give z(o).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzyzzyzzzzzz. What is prob of picking 2 z?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 5:11 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1342 - -4bd?\nAnswer: -c63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s + 3*h - 0*h + 319, 3*s + 2*h = 1001. Suppose -3*o + s = 2*r, r - 132 = -o - 4*r. What is the remainder when o is divided by (54\/5)\/(18\/45)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 39, 141, 4 in ascending order.\nAnswer: 4, 5, 39, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 2470, 8383, 4\/7, -0.1 in ascending order.\nAnswer: -0.1, 4\/7, 2470, 8383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -499*y + 4917*y + 1337*y as c*y + q and give c.\nAnswer: 5755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i = 3*w + 6 + 26, -2*w = 5*i - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18)*2 - sqrt(2))**2 + (sqrt(2) + sqrt(2)*2 + 4 - sqrt(2)) + 4 + -3.\nAnswer: 2*sqrt(2) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-5*(4 + -1 + sqrt(10)\/sqrt(2)*-5))**2.\nAnswer: -750*sqrt(5) + 3350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-19)\/(-228))\/((-319)\/(-57420))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1238*r + 2276*r - 1045*r.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:06 PM and 7:31 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**3 - 65*i**2 + 203*i + 5. Let t be z(3). Solve -180*q + 175*q = -2*s + 23, -10 = t*q - s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + -1. Let w = 5.6 - 0.6. Let x = 2 - w. Which is the nearest to -0.1?  (a) 2  (b) i  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31055 is divided by 727?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00053863 to 6 decimal places.\nAnswer: -0.000539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -5 - (-13 - -18 - (-62)\/(-6)). Let o(n) be the third derivative of 0 - 4\/3*n**3 + 0*n + 8*n**2 + b*n**4 - 1\/30*n**5. Factor o(t).\nAnswer: -2*(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 26 - c + 469 + 1 + 0*c in the form z*c + l and give l.\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/3)\/(-3 + 14\/5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -226  (b) 3  (c) 0.5  (d) 0  (e) 224  (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 86907223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-39)\/234 - (-9)\/432*-638*-4.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s and 2 b when four letters picked without replacement from ssssabsbbab.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 35 and 8895.\nAnswer: 62265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -2\/11  (b) -3\/8  (c) -2\/7  (d) -1\/35  (e) -215\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*o - 5*x - 21, -5*x + 3 = 18 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3807271 to the power of 1\/2, to the nearest integer?\nAnswer: 1951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 64729*a + 258885. What is s(-4)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84425 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 32265792 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 6*p. Let b(v) be the first derivative of 89*v**2 - 1960. Calculate q(b(g)).\nAnswer: 1068*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {j: 1, c: 1, g: 2, f: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*g = 5703 + 23747. Let f = -765 - g. Calculate the smallest common multiple of 1\/((-3)\/2)*-18 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 70.63232 kilograms?\nAnswer: 70632320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -3*s**3 + 2*s**2 - 8*s + 5. Let l be h(1). Is -1*(-1)\/l + (-10973)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1633653\/352 - -18565\/4. Calculate the common denominator of 9\/176 and q.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i - 9. Let z be t(11). Let p(l) = -12*l + l**3 + 11*l + 0*l**3 + 2*l**z. Give p(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(1539)*1*-4.\nAnswer: -216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Are 2131 and 1234 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20201 (base 3) to base 5.\nAnswer: -1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the third derivative of 5\/24*g**4 + 7*g**2 + 0*g + 0 - 1\/60*g**5 + 7\/6*g**3. Let h be m(6). Sort 11, 1\/9, h in increasing order.\nAnswer: 1\/9, h, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -16633368*t**3 - 3*t**2 + 4255507*t + 4 wrt t?\nAnswer: -99800208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z - 203051 = h - 203078, -2*h + 4*z = -22 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -100*v + 5. Let p(z) = 199*z - 9. Let i(o) = -4*p(o) - 7*q(o). Let b be i(-1). Let m = 594 + b. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.147 + -0.853. Which is the nearest to y?  (a) -7  (b) 1\/2  (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -21*m**3 + 5*m**3 + 2*m**3 + (-2*m + m**3 + 2*m)*(-7 - 1 + 4).\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 703779 or 232?\nAnswer: 232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 + -91 - 20) + 87?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 106345103?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10*p**2\/7 + 10336*p\/7 - 6198\/7.\nAnswer: -2*(p - 1033)*(5*p - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 7736461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes after 1:29 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 8926938.\nAnswer: -5\/8926938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 6*c - 12. Let t(p) = 3*p - p - 2*p + c*p + 6. Let s(w) = w + 1. Calculate -10*s(o) + 2*t(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:32 AM and 3:44 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -257 + 377. Let k be n\/9*(-12)\/(-10). Let c = k + 9. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v - 83 + 86 + 0*v + v**2 + 4*v - 2*v**3. List the prime factors of l(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 4, j: 2, l: 1, n: 1}. What is prob of picking 1 l and 2 j?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r = -2*r + 4041. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6749 rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2537.73532 rounded to zero decimal places?\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -838 - -840. Let f(v) be the second derivative of -v**4 + 3*v - 8\/3*v**m + 0 - 20\/9*v**3 - 1\/45*v**6 - 7\/30*v**5. Determine n, given that f(n) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 16, -209, 0.0734, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/7, 9, -0.82, 1\/15.\nAnswer: -0.82, -4\/7, 1\/15, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 233, 465, 687, 893, 1077, 1233, 1355, 1437?\nAnswer: 1473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*k**2 - 2*k**2 + 4*k**2 + (-46*k - k - 17*k)*(-2*k - 1 + 1) - k**2 + k**2 + 2*k**2 + (3*k**2 - 3*k**2 + 2*k**2)*(4 - 4 + 2).\nAnswer: 136*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 1220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4631 and 5632.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -b (base 13) in base 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0  (b) 3  (c) 1  (d) 48258\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - 0 - (2 + 3 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 299745 to the power of 1\/2, to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 - 2 = n. Let k be n + (1 - (-4 + 7)). Suppose f + k = 44. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 4 - 5 = 0. Let r be (-34)\/(3 + (0 - d)). Let x = -17 - r. Solve -m = -x + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 102 and -1\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 0*d + 5*d - 109 = 0, 3*d - 127 = -4*g. Suppose -4*u = -y - g, 4 = 4*u + 4*y - 24. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*c**2 - 7*c**2 + 0*c**2 - 5*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -1, -4, 0, -7 in descending order.\nAnswer: 7, 0, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 4  (b) -2  (c) 2\/25  (d) -16  (e) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 30712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -193 + 264. What is the smallest common multiple of l and 4?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 82 by -2327.\nAnswer: -82\/2327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1\/7)\/w**3*(w**(-3))**(-2\/9))**14 assuming w is positive.\nAnswer: w**(-104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 95\/26838 and -59\/724626.\nAnswer: 724626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes before 3:08 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68*y**3 + 20*y**4 - 96 - 5*y + 33*y + 69*y**2 + 100 = 0 for y.\nAnswer: -2, -1\/2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the second derivative of -11*w + 0*w**2 + 0*w**4 + 17\/6*w**3 - 13\/30*w**6 + 0*w**5 + 0. Find the second derivative of r(g) wrt g.\nAnswer: -156*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of (-19040)\/(-850)*(-25)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*o**3 - 3*o**3 + 7*o**3 + (-3*o**2 + 3*o**2 + o**2)*(-3*o + 7*o - 2*o) + 3*o**3 - 2*o**3 + 0*o**3 as u*o**3 + r*o + j*o**2 + p and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 117997059 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/4)\/(117\/(-702)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1*(2 + -7) - 1. Let v be 0\/2*f\/12. Suppose 5*l + 2*h + h + 8 = 0, v = -4*l - 2*h - 8. Sort 1, l, -1 in increasing order.\nAnswer: l, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*j**4 - j**4 - 4*j**4 + 4*j**4 - j**4 - j**4 + (0*j**4 + 2*j**4 - 3*j**4)*(-3 + 2 + 0).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42413?\nAnswer: 7, 73, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**2 - 4*c + 7. Suppose -9 = 3*j, -5 = 2*v + 5*j + 2. Let b be 9\/15 + (52\/(-20) - -4). Let t = b + v. Give k(t).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 890718.3 years to months.\nAnswer: 10688619.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**2 - 113*m + 1122. Give n(9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 177.98 + -173.98. Which is the third biggest value?  (a) 2\/19  (b) i  (c) 2\/5  (d) 464\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 5*k**2 + 2*k + 6. Let u(n) = 3*n + 2*n + 4*n**2 + 5 - 2*n - n. Let i(l) = 5*m(l) - 6*u(l). What is the second derivative of i(b) wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 592129466 to the nearest integer?\nAnswer: 24334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2982\/(-168) + (6\/8)\/(-3). Calculate the remainder when 74 is divided by -4 + ((-170)\/(-6) - 12\/x).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d**2 + 4*d**2 - d**2 + (8*d + 2*d - d)*(-d + 0*d + 0*d) + d**2 - 10*d**2 - 4*d**2 + (-3*d + 3*d - d)*(-5*d + 4*d + 2*d).\nAnswer: -21*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1030 (base 4) to base 8.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-175 + 175 - 194*d**2)*(3 - 1 + 0) - 11*d**2 - 4*d**2 + 6*d**2.\nAnswer: -397*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10362\/78577 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**3 + 10*v**2 + 23*v + 19. Let o be c(-7). Put -1, -36, -1\/4, o in increasing order.\nAnswer: -36, -1, -1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -111*j**2 - 1. Let r be k(-1). Let d = -1132140\/11 - -103034. Let f = d + r. Which is the third biggest value?  (a) 4  (b) 1\/6  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4214866.4 to the nearest ten thousand.\nAnswer: 4210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**2\/3 + 1580*z - 114750.\nAnswer: -2*(z - 2295)*(z - 75)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -165 - -4?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 10010 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the third derivative of q**8\/30240 + q**7\/7560 - 4*q**5\/15 - 3*q**2. Let g(r) be the third derivative of w(r). Factor g(m).\nAnswer: 2*m*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 247169150 to the nearest integer?\nAnswer: 15722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 38462 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -6. Let m be (-2)\/(-12) + 15\/18. Solve 3*j = -4*t + m + 2, -j + r*t = -1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.6 + -0.7. Which is smaller: m or 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -0.2, 1, -1 in increasing order.\nAnswer: -1, -0.2, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from mfgrrmmfmf.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the third derivative of -c**4\/24 - 2*c**2 - 6*c - 517. Let f(t) = -t + 1. Let m(j) = 10*j + 5. Let q(v) = -2*f(v) - m(v). Calculate w(q(a)).\nAnswer: 8*a + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {l: 4, b: 4, z: 2, m: 8, d: 2}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, c: 3, d: 2, w: 6, k: 4}. What is prob of sequence dc?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -45666312248 - -0.04?\nAnswer: -45666312247.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11058849 and 206769.\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sum -49 and -0.26.\nAnswer: -49.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -786 + 705.1. Let p = q - -81. Let t = 0.1 + -0.1. Which is the nearest to -2\/9?  (a) p  (b) t  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2884 divide 543459326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.0299958 - -0.03. What is z rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - -5 - (0 + -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -12b - 0?\nAnswer: -12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 11*i + 498. Let l(g) = 28*g + 995. Determine 2*l(j) - 5*y(j).\nAnswer: j - 500","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2756525\/3 or 918841?\nAnswer: 918841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 2*m**3 - 18*m**2 - 22*m + 20. Let w be j(10). Is -5\/4 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/((s\/s**(-2\/17)*s)\/s)*((s*s\/s**(-3))\/s)\/s)\/(s\/(s**(-4)*s)*s\/s**(-3)) assuming s is positive.\nAnswer: s**(-87\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**3 - 4*v**2 + v + 1. Let l be -4 + 36\/(-27) - (26\/(-6) - -3). What is x(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.05?  (a) 0  (b) 3\/2  (c) -0.09  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 768903*d**4 - 1055886.\nAnswer: 3075612*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b = 4*i + 5*b - 7, -b - 1 = -4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*w - 14*w - 30 + 31*w - 14*w.\nAnswer: -10*w - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*d - 53 = -11*d + 21*d - 13*d - 4*t, 0 = 5*t - 37 - 98 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c - 1. Let s(u) = -u**2 + 5*u - 2. Let p be (-322)\/35*5\/(-2). Let n be 6\/(-15) - p\/5. Let j(g) = n*t(g) + s(g). Differentiate j(i) wrt i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 2*t - t + 2*j, -5*j = -10. Suppose -2 = p - t*y + 65, 3*y + 195 = -5*p. Let l = 37 - p. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 7*f + 15. Let p(d) = 6 + 3 + 8*d + 7. Let h(b) = -6*p(b) + 7*r(b). Let g be h(-5). Solve -t = -5*u + 17, -g*u + 2 = 2*t + 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52201679?\nAnswer: 17, 331, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -t - 1\/8*t**2 - 2 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 268 - 309. Let a = -358 - w. Which is greater: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the first derivative of -4*f**3\/3 + 540*f**2 - 72900*f + 200. Factor j(u).\nAnswer: -4*(u - 135)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p - 41 - 14. Let c(b) = -73*b**2 + 2*b + 1. Let u(y) = 218*y**2 - 6*y - 3. Let k(t) = p*c(t) + 4*u(t). What is the tens digit of k(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 - -0.2. Suppose 2*y + 17 = -5*h + 5, y + 6 = -2*h. Which is the closest to 0.1?  (a) v  (b) y  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d = 441*i - 439*i - 50, d + 63 = 21*i for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 226378?\nAnswer: 2, 113189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16215761161\/505050 + -16333\/12025. Let f = 32104 - x. Calculate the common denominator of -40\/3 and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 2*y + 104. Let n be i(-26). Let d be (-24)\/(-84) + n\/14 + 0. Sort d, 1, -0.4, 13\/6 in decreasing order.\nAnswer: d, 13\/6, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 369c (base 16) to base 15.\nAnswer: 4220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -8\/11621473 and 38\/127836203?\nAnswer: 127836203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 151 a factor of 1087049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**3 - 9*w**2 + 2*w + 5. Calculate t(4).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzzzzzzzz. Give prob of sequence zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 less than -1044061?\nAnswer: -1044060.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 18168 by -3.\nAnswer: -6056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -635 + 525. Is n at most -109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and 1.9.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 77423 + -43959. Calculate the least common multiple of w and 2.\nAnswer: 33464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 18\/2 - (0 + 2). Let t(j) = -9*j**2 + 2*j - 3*j + o*j**2 + 3*j**2. Let h(r) = -5*r**2 + 5*r. Let f(y) = -2*h(y) - 14*t(y). Factor f(x).\nAnswer: -4*x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 18*h - 1. Let m be z(1). Suppose 4*k = 23 + m. Let r = -9 - -25. What is the lowest common multiple of k and r?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 47461 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(-12) + 172\/6. Suppose -1 + s = y + 4*x, -4*y - 5*x + 57 = 0. Suppose 2*i - 147 = -5*i. Calculate the remainder when i is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (8\/2 - 1)\/3. Suppose -o = 3*k + t, k = 6*k + 5. Suppose -5*c + 5*l + 20 = 0, 2*l = -0*c - o*c + 24. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**2\/3 + 42950*l\/3 + 71600.\nAnswer: -2*(l - 21480)*(l + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11.7 - 14.7. Suppose 4*x + 27 = 39. Sort x, g, -2\/11 in ascending order.\nAnswer: g, -2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -7 + -189c11a?\nAnswer: -189c124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -165*f = -160*f - 4*v + 7, 5*v = 8*f + 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 219072 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 410, 1, 2, -1, -12 in descending order.\nAnswer: 410, 2, 1, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 15*j**3 + 2*j - 8. What is the remainder when t(3) is divided by 103?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 144972 and 181215?\nAnswer: 724860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/337, 5, -1\/7, 1\/9, 19 in ascending order.\nAnswer: -1\/7, 2\/337, 1\/9, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -108996347002 + -0.3?\nAnswer: -108996347002.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*o**3*y**3 - 32*o**3*y**2 - 2*o**3*y - 7*o*y**4 - o wrt y.\nAnswer: 12*o**3 - 168*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -714075  (b) -0.3  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -5*m + 1. Let l be r(12). Let t = -42 - l. Calculate the remainder when 46 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 590 and 649.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11 + 58. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + -8. Let x be g\/(-4) - (0 - 0). Let o be (4\/x)\/((-2)\/(-54)). Calculate the highest common divisor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 81\/324*10\/(-1)*12\/10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11 and 243001?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (74\/(-2109))\/(45\/(-79515))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 23 = -5*f + 2*f, 1 = 4*n - 3*f. Let c(q) = -2 - 16*q - 3 + n. Let r be c(-1). Calculate the highest common divisor of 6 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -24\/7, -21, -0.4, -7, 5?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 22980407461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 10\/5825*10\/22. Let q = a - 3497\/2563. Find the common denominator of ((-16)\/(-6))\/((-44)\/(-30)) and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14729.06227 - -14729. Let q = z - -1.24967. Let p = 1.2 - q. Round p to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*i + 2*u = -23*i + 1299, 4*u = -3*i + 1305. Let t = i + -455. Put 10, 1, t in decreasing order.\nAnswer: 10, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32729 is divided by 8180?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3028 + -3021. Solve -10 = 2*x, -5*l - 10 = -w*l + 4*x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -32547 + 32548. Let v = 86 + -89. Let h be (-1)\/(-4)*(3 - 0). What is the closest to f in h, v, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 6 = 2. Let i(f) = 17*f - 4*f - 4 + 2 - 6*f. What is the units digit of i(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-16))\/(30\/270*3\/16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -17.17173 and -0.12?\nAnswer: 17.05173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**3 + 10*f**2 - 6*f - 7. Let n(q) = 8*q**2 - 3*q - 2. Let i be n(-1). What is the smallest common multiple of 8 and s(i)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 3*h**3 + 8*h**2 + 14*h + 44. Let n be s(-4). Let w be (2\/5)\/(n\/190)*-23. Solve -8 = -19*b + w*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*x + 3*x - x)*(0 - 2 + 0 - 3 - 1 + 5 + (-6 + 2 + 2)*(-2 + 3 + 2))*(-x + x + x).\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6930 and 141190.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 24\/16 - (-9)\/(-6). Solve v + 7*v - 16 = w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**11*d)\/(d\/d**(3\/14))*d**(1\/21)\/d**15 assuming d is positive.\nAnswer: d**(-157\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 142, -2\/5, -0.5 in descending order.\nAnswer: 142, -2\/5, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kchrhho. What is prob of sequence hr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 498938.9l to millilitres.\nAnswer: 498938900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 65781 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 t = 26 - 25. Let x(m) = 22*m**3 + 2*m - 1. Calculate the remainder when 45 is divided by x(t).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 0.6415713ns?\nAnswer: 0.00000000000000742559375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78*j = 322 - 868. Let y(r) = -r - 1. Let c(u) = -u. Let i(o) = 3*o - 1. Let a(k) = 12*c(k) + 3*i(k). What is j*y(g) + 3*a(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1356 = 2*d - n, -3*d + 1262 = -5*n - 793. Calculate the highest common factor of 120 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -31 - -43. Suppose 3*l = -2*f + 12, -3*f + 2*l - 8 = -2*f. Suppose f = -0*g + 5*g + 5*p, -3*g = -2*p. Solve -4*r + 0 + n = g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(100)\/sqrt(162) - sqrt(50)) + 3*sqrt(450)\/sqrt(9) + -5.\nAnswer: -5 + 95*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**3 + 5*i**2 - 5*i + 1. Let g be n(2). Suppose h - 15 = g. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 168614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x\/((x\/(x\/x**1)*x*x)\/x))**(-9)*(x\/x**(3\/4))\/x**(2\/7)*(((x*x**6*x)\/x)\/x*x*(x**(3\/4)*x)\/x)\/(x**4*x*x\/(x**6*x)*x) assuming x is positive.\nAnswer: x**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 5  (b) 4  (c) 4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3\/64 + -171\/448. Let i = 2 - 7. Let u = i - -4.7. Put -4\/5, r, u in ascending order.\nAnswer: -4\/5, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75 = 3*s - 87. Let a(r) = 1. Let z(y) = y**2 + 9*y - 5. Let q(v) = -2*a(v) - z(v). Calculate the remainder when s is divided by q(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4186 - -4175. Which is the smallest value?  (a) -3  (b) v  (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = -4*x + 12, 2*r + 3*x - 23 = 6*r. Let n = r + 3. Let h(k) = -2*k - 8. Let p be h(-8). Calculate the highest common factor of n and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 4, 20, -1589, 9 in ascending order.\nAnswer: -1589, -5, 4, 9, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -87a9 (base 16) to base 7\nAnswer: -203152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 20*b**2 - 7*b - 9. Let w be v(-3). Let c = -59 + w. List the prime factors of c.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**2. Let z(q) = q**2 + 79*q - 3. Let b be z(0). Let g(m) = -m**3 + 10*m**2. Determine b*p(n) + g(n).\nAnswer: -n**3 + 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together 3068877917 and -0.5.\nAnswer: 3068877916.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -2*h**3 - 7*h**2 + 5*h - 3. Let g = -6 + 2. Let j be o(g). Let p = 7 + -10. Put 0.3, p, 2, j in descending order.\nAnswer: 2, 0.3, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 425 is divided by 142.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*v**4 + 21*v**4 - 103*v - 37*v**4 - v**2 to f*v**4 + i*v**2 + t*v**3 + s*v + p and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = -4*g + 5*a, 0*g - 2*g + a - 9 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1898164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.6 + 0.65. Let k = m - -0.45. Sort -2, 3, k.\nAnswer: -2, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1001010 (base 2) to base 14\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 2, g: 3, w: 10}. What is prob of sequence gegw?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m*m**(-8)\/m*m))**(-1\/23) assuming m is positive.\nAnswer: m**(-8\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/3  (b) -7569  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*z - 4*v - 6, 5*z - 5 - 3 = 2*v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**2 + 38*a - 791. What is j(-53)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t - 4*q + 5, -3*q - 4 = 5*t + 5. Let s = -1 - t. Find the second derivative of -3*i - s*i**2 + 2*i - 3*i wrt i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 28, 21, 4, -29, -84, -167?\n\"Answer: -l**3 + l**2 - 3*l + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 4946490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*t + 5*t + t)*(0*t**3 - t**3 + 2 + 0 + (0*t**3 + 2*t**3 + 0*t**3)*(41 - 23 - 1)).\nAnswer: 297*t**4 + 18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 18047 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 30 = 5*p, -p + 3*o = -0*o - 6. Find the third derivative of 8*q**p + 2*q**6 + 4*q**2 - 2*q**2 - q**2 + 51*q + 27*q**4 - 9*q**6 wrt q.\nAnswer: 120*q**3 + 648*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.69 - 4.35.\nAnswer: -5.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -4*a**2 + 111*a - 568. Give j(9).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 288 is divided by (183\/(-2))\/((-560)\/(-32) + -18)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -54, 256 in descending order.\nAnswer: 256, -0.5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 278 - 320. Let x be ((-8)\/i)\/((-62)\/93). Is x smaller than -2.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v - 7. Let c be g(-5). What is the units digit of (1\/c)\/(3\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1369337604 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 r(g) = g. Suppose 5*s + 14 = 34. Let x(m) = -1. Let d(z) = -2*z + 2 - 6 + 5*z - 7*z. Let b(t) = s*x(t) - d(t). Calculate r(b(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes before 6:34 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1456 - 24566. Round r to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5213242.\nAnswer: 2, 103, 25307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 5*m**2 + 3*m + 5. Let g be p(-2). Suppose -3*l - 2*r = -9, -4*l - 9 = -7*l + 4*r. Solve l*x + 6*h = 2*h + g, x + 19 = 5*h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 - -1)*-1 - 61. Let i be b\/14*(-20)\/3. What is the greatest common divisor of 20 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**3 - 11*n**2 + 101*n - 15. Give p(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(245) + sqrt(245)*-3 + sqrt(245) + -5 - sqrt(245) - ((1 + sqrt(245))**2 + 1)) + -2 + 4.\nAnswer: -250 - 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from ahahhaahhhhhhhhhhhhh?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 10 = 5*d. Let b be (2 - (1 - d))*3. Put b, 3, 2 in increasing order.\nAnswer: b, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -3\/2  (b) 8\/3  (c) -3\/5  (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 3*p**3 + 6*p**2 - 6*p. Let b be g(-5). Let y = -143 - b. Calculate the remainder when y is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -98\/3 - -36. Do 0 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:10 PM and 8:34 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 85\/564 and -127\/19338.\nAnswer: 1817772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 0, -5, 20, -3, 419 in ascending order.\nAnswer: -5, -3, 0, 16, 20, 419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 3 h when four letters picked without replacement from hhggghhhhhhhhh.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -9 + 4 - -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 705392379 by 235130793.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4192 + 4191.5. Let a = -0.2 + 3.2. Let m = a - 3.3. What is the biggest value in -1, m, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 584517441.\nAnswer: 3, 97, 1069, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -30431*p**5 - 1882*p**2 wrt p?\nAnswer: -1825860*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 2*w + 7. Let p(r) = -20*r - 64. Suppose 24 + 27 = 17*n. Let i(t) = n*p(t) + 28*b(t). Give i(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3154.71 rounded to zero decimal places?\nAnswer: 3155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -9*t - 62. What is o(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 + -10 + (-3)\/(2 + 1). What are the prime factors of g\/110 + 4083\/30?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-11) - (-380)\/209. Put 0, i, 4, -14 in ascending order.\nAnswer: -14, 0, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3283 - 3283.01266. Round a to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 6 = 2*g. Let d(t) = 16*t - 6. Let u = 383 - 376. Let w(n) = 11*n - 4. Determine g*d(y) + u*w(y).\nAnswer: -3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.01669 and 31452.1.\nAnswer: 31452.08331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 5 * 41639.3\nAnswer: 208196.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -6218, -12299, -18378, -24455?\n\"Answer: p**2 - 6084*p - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -110105, -220214, -330323, -440432, -550541?\nAnswer: -660650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the first derivative of -m**2\/2 - 19*m - 979. What is w(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 5  (b) -5\/4  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (3*3\/(-81))\/((-2)\/(-4))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11 + -6. Let u = 18 - m. What is the remainder when u is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the third derivative of u**6\/120 - 11*u**5\/60 + 3*u**4\/8 + u**3\/3 + 19*u**2. What is o(10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + 1*sqrt(833))*6 + -1)**2 + (0 + (sqrt(17)*-2 - sqrt(17)) + (sqrt(17) - (-1 + sqrt(17) + -1)) - ((sqrt(187)*1*2)\/sqrt(11))**2).\nAnswer: -591*sqrt(17) + 29971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1034356 + 260948 = -16*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -13*v. Let x(j) = 10*j**2 + 3. What is x(d(n))?\nAnswer: 1690*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i + 0*i - 4*i**3)*(4*i - 6*i - 2*i) + 5*i**4 - 4*i**4 - 3*i**4.\nAnswer: 14*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m + 4*b - 16, -3*m + b - 4 = -4*m. Let h be -1 - (-5)\/((-10)\/(-12)). Let q(f) = 21*f + 36. Let z be q(-2). Sort z, h, m.\nAnswer: z, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p - 3*p + 5*p + (0*p - 3*p + p)*(-1 - 1 + 4) - 348 + 239*p + 348 + 10 + 6*p - 10.\nAnswer: 242*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*n = 1832 - 5420. What is the remainder when n is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 924 - -5?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 820357861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 46 + (-17 - (-5 - -2)) + (-1 - -2).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 125 - 1413167*y**2 - 125.\nAnswer: -1413167*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 160587116 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**2\/11 - 7606*p\/11 - 4896444\/11.\nAnswer: -2*(p + 821)*(p + 2982)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -13323320 (base 4) in base 13?\nAnswer: -11a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 19766, 39529, 59294, 79061, 98830?\n\"Answer: h**2 + 19760*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -42 - (-31 - (41 + -18))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 51634003 to the power of 1\/2, to the nearest integer?\nAnswer: 7186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49385249 is divided by 2456.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 0.3, -3, -0.3, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53719926?\nAnswer: 2, 3, 13, 688717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -177, -4, -158, -5, -3, 2, -2 in increasing order.\nAnswer: -177, -158, -5, -4, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*j + 3*j**2 - 5*j + (0 + 0 - 2*j)*(-3*j + 5*j + 0*j) - 3*j**2 - 1 + 1 + 0*j**2 - 2*j**2 + 0*j**2 in the form q*j + h*j**2 + p and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(50))\/sqrt(10) + 5 + 1.\nAnswer: -sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 36127118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1118952463 to the nearest integer?\nAnswer: 33451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -22*l**6 - 4*l**4 - 30*l**2 - 3 wrt l.\nAnswer: -2640*l**3 - 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -87  (b) 495  (c) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 47 - ((1 - -4) + -2). What is the highest common factor of l and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 190\/17 + -743\/68. Put -0.3, x, -16\/11 in descending order.\nAnswer: x, -0.3, -16\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 58\/(1*3\/21*(-27293)\/557).\nAnswer: -58\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tttcv. Give prob of picking 2 t, 1 v, and 1 c.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**3 + 25*z**2 - 115*z + 1050. Calculate n(-30).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 1170\/52*28\/70\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -384 divided by 6\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l\/(l**(-1)\/l))\/l)\/(l**(3\/4)*l))\/(l\/l**(2\/9))**27 assuming l is positive.\nAnswer: l**(-83\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -62810337 - -3?\nAnswer: -62810334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 8 + 3*r**3 - 5 - r**4 - r - 3*r**2 + 5*r. Let t(u) = -u**4 + u**3 - u**2 + 1. Let s(l) = f(l) - 3*t(l). What is the second derivative of s(d) wrt d?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 267*u**2 - 11*u - 6. Suppose -16*c + 35 = -11*c. Let n be k(c). Round n to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*(-30)\/(-3)*(4 + 0 + 923\/(-142))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11) + -3*(sqrt(55)\/sqrt(5))**2 + (5 + sqrt(55)\/sqrt(5))**2.\nAnswer: 3 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6806.93002 + -6807. Let j = 0.07 + m. Round j to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.7715 and -44887.\nAnswer: -44887.7715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 931 is divided by (-16)\/(-24) - (-698)\/6.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 61 (base 14) in base 4?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*b - 5. Suppose -2*i = 5*r - 69, 4*r = b*i + 2*i + 72. What is the greatest common divisor of r and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d + 1. Let l be j(-4). Let w be -2 - (0 - (l - -5)). Suppose 4*h - 944 = 3*o + 1404, w = -o. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 - -198c4?\nAnswer: 198c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17288*x + 32881*x - 17776*x + (x - 2*x + 3*x)*(4 - 1 - 2) to u + g*x and give g.\nAnswer: -2181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**3 + 3*j**2 - j - 2. Let w be 10\/35 - (-12)\/7. Give d(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 136 = m. Suppose -s + 29 = -0*s - 4*n, -71 = -4*s + n. Calculate the highest common divisor of m and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 16 = 4*f, -g - 9 + 1 = 2*f. Suppose 2*n = 3*n + 4*h - 1, g = -2*n + 4*h + 14. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 2126, 4261, 6408, 8573, 10762?\n\"Answer: m**3 + 2128*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 - 1 = -5*m. Suppose 3*f = -2*f + m*a + 81, a = 3*f - 47. Suppose 0 = 3*x - 8*x - f, -2*y - x = -99. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -5*w**2 + 58*w - 15. Give o(13).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (45 + -39 - 12) + -17?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*(h*h**(-6)*h)\/h)\/h)\/(h*(h*(h\/h**(3\/5)*h*h)\/h)\/h))**(2\/11) assuming h is positive.\nAnswer: h**(-74\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -28*m**4 - 36*m**2 + 17*m**4 + 2*m - 2*m**5 + 54 - 7*m**4 - 52*m**3 + 52*m.\nAnswer: -2*(m - 1)*(m + 1)*(m + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2592*t**2 + t - 59*t**3 - 4 + 2589*t**2 + 6 to a*t**2 + x*t**3 + g*t + q and give x.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3083506 and 148?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 10237968 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 14711 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 q(g) be the first derivative of 3*g**2 + 6 + 2*g + 1\/2*g**4 + 2*g**3. Let q(t) = 0. Calculate t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -36 in 3, -21, 4, 0.52, -4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -47891, -47885, -47879, -47873, -47867?\n\"Answer: 6*y - 47897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 242302718 to the power of 1\/3, to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3.9246 + -0.0754. Which is the closest to -2?  (a) p  (b) -13  (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d + 0*d + 2*d)*(38*d + 646 - 646)*(0*d - 5*d + 3*d) + (d - d**2 - d)*(d + 2*d - 2*d) + 1 + 2*d**3 - 1.\nAnswer: -75*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1291, 1300, 1315, 1336, 1363, 1396?\n\"Answer: 3*w**2 + 1288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 12 = v + 3*v, -h = -5*v + 15. Let s(r) = -r**3 - 4*r**2 + 3*r - 6. Let n be s(h). What is the third biggest value in -0.2, 0.3, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20297 is divided by 262?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t - 2*h + 15, 4*t + 3*h + 5 = 0. Put -4, t, 1, 0 in decreasing order.\nAnswer: 1, 0, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/2*-1 + 99\/45. Let v be ((-42)\/(-12))\/((-2)\/(-4)). Suppose 8*x = v*x - 1. What is the third smallest value in a, -5, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3762 and 7326?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1741 (base 12) to base 9\nAnswer: -3734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -26208+-0.1\nAnswer: -26208.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.6 times -505?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10621 + 10621 + 2*r - 3*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*o = -49*o + 48. Suppose 3*g - 700 = -4*n, -10*g + 6*g = o. What are the prime factors of n?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3700993?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4\/3  (b) -0.4  (c) -1.0363  (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 1 - (179 - 170 - (-5 - 47)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 94 divide 20467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express ((27 + 37 - 52)*(-2 + 5 - 2) + 3 - 4 - 2)*(-4*n**2 - 33*n**2 + 5*n**2) as k*n**2 + r*n + o and give k.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 325540?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0021262 to 5 dps.\nAnswer: -0.00213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:17 AM and 5:55 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52492792.\nAnswer: 2, 11, 41, 14549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.03 - -0.03. Let u = -11 + 13. Let i be 8\/10*(3 + u). Which is the third smallest value?  (a) y  (b) i  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v**(5\/7))\/v**14)\/(v**(-1))**(-3\/34))**36 assuming v is positive.\nAnswer: v**(-53010\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7158490.\nAnswer: 2, 5, 715849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**3 - 4*m**2 + m - 2. Suppose -3*j + 15 = 3. Give v(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 25980455 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**3 + 10*s**2 - 15*s + 5. What is the lowest common multiple of l(8) and 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.2 + -0.1. Let n = 37 + -33. Which is the third biggest value?  (a) 1  (b) n  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i. Let r(a) = a**2 - a + 1. Let w(k) be the first derivative of 15*k**3 - 9*k**2 + 18*k - 114. Let y(u) = 18*r(u) - w(u). Give y(s(c)).\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 - 220202003?\nAnswer: -220202003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -213 + 228 = -15*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11273277 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1347*m = -848*m + 21956 for m.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 3495, 6905, 10309, 13701, 17075, 20425, 23745?\n\"Answer: -k**3 + 3*k**2 + 3408*k + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together 23163941300 and -5971.\nAnswer: 23163935329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -1666*w - 103268. Determine p(-62).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 87233981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**8*l)\/l**(-5))\/(l**(-9)*l\/(l*l**(-6)*l)) assuming l is positive.\nAnswer: l**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -32178 - c**2 - 78*c**3 + 32178 - c to s*c**3 + f*c**2 + x + y*c and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the first derivative of 2*g**5\/5 + 17*g**4\/4 - 2*g**3\/3 - g + 28. What is the third derivative of j(f) wrt f?\nAnswer: 48*f + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 39725\/234 - 2134\/13. Find the common denominator of -87\/32 and i.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-6))**(-46) assuming f is positive.\nAnswer: f**276","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + 3. Suppose 2*b + 3 + 3 = f*r, -4*b + 14 = 5*r. Let c be (-7)\/196 - b\/4. Put c, 0, 2 in decreasing order.\nAnswer: 2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-1)\/(-1))\/(49\/7))\/((-2380)\/(-1666)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 14600 or 14596?\nAnswer: 14596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 44292\/(-120) - (-2)\/20. Let f = h + 373. Solve f*b + 7 - 3 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.09 + 6.09. Let q = -54\/7 - -291\/35. Which is the third smallest value?  (a) q  (b) l  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o*o**3)\/o**(-9))**(-36))**11)**(1\/6) assuming o is positive.\nAnswer: o**(-858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -55*o**3 - 2336700*o**2 - 24820639740*o - 36097805120.\nAnswer: -5*(o + 21242)**2*(11*o + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 114889 = y, 2*j = -3*y - 3*j + 344619. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -14.687 + -0.113. What is o rounded to 0 dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 148950.6277 - 0.091.\nAnswer: 148950.5367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 5*f + c, f = -4*c + 26 - 8. What is the remainder when 56 is divided by (-30)\/4*(14\/(-21) + f)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes after 3:37 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 30, 161, 378, 681, 1070, 1545?\n\"Answer: 43*q**2 + 2*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 101600 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -8*p**3 - 4*p**2 + 1. Let c(b) = -7*b**3 - 3*b**2 + 1. What is 6*c(t) - 5*x(t)?\nAnswer: -2*t**3 + 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9133 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 - -94. Calculate the remainder when i is divided by (-32860)\/10850 + (-18)\/(-5) - (-513)\/21.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express r**2 - 18*r**3 + 20*r**3 + 2 + 0 as n*r**3 + q + v*r**2 + p*r and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that g**2 + 91788*g - 62039989 = 0.\nAnswer: -92459, 671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 4439.697 millilitres?\nAnswer: 4.439697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 118*p + 15*p + 48*p + 72*p + 8 - 32*p in the form c + s*p and give s.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g + 240 - 36 = 0. Solve -g = -o - 38 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0*(6\/(-1))\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12466944 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1332368?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4a + -a8?\nAnswer: -5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 29.31 - 29.11. Put f, -3, -744 in decreasing order.\nAnswer: f, -3, -744","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -u**3 - u**4 - 9 + 17*u**2 + 8 + 1 + 3*u as h*u + j*u**4 + s*u**2 + l*u**3 + d and give s.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -42 + 18 - v - v. Let o be f(-13). Solve -2\/7*n**4 - 4\/7*n**o + 0*n - 4\/7*n**5 + 0 + 10\/7*n**3 = 0.\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -8*r - 5. Let v(g) = 39*g + 24. Suppose -5*i = -55 - 315. Let y = -50 + i. Give y*l(f) + 5*v(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54*q**2 + 4*q**2 + 3 + 2.\nAnswer: 58*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 4, g: 3, y: 2, u: 2}. Give prob of sequence ygou.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*w - 13*i + 52, 575*w - i = 272*w + 306*w - 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 2*v**3 + 18*v**2 - 18*v + 12. Calculate z(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1633583.\nAnswer: 7, 109, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve j**5\/4 - 11*j**4\/4 + 11*j**3\/2 + 23*j**2\/2 - 23*j\/4 - 35\/4 = 0 for j.\nAnswer: -1, 1, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*2*(-1 + sqrt(176)))**2.\nAnswer: -32*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 468 and 20.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21 + 5 + 16 - 101194*g**3.\nAnswer: -101194*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**2\/3 - 763077376*o\/3 + 36392942610190336\/3.\nAnswer: 4*(o - 95384672)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 41990 and 7657.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 24 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*y - 5404 + 5404.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, x: 1, a: 1, k: 4, f: 8}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 25*b - 32*b + 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 53035  (b) 2  (c) 2\/3  (d) -4  (e) -0.2  (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -12119*p**2 - 2*p - 2. Let a be d(5). Let v = a + 3335220\/11. Let b = v - 215. Are 0 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6233520629 to the power of 1\/2, to the nearest integer?\nAnswer: 78953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2782592928 - 14163398053891\/5090. Let i = o - 2\/509. Find the common denominator of i and (-6)\/27 - 754\/(-72).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**3 + 11*c**2 + 10*c. Let n be p(-10). Let j = 7 - n. Calculate the greatest common factor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 2*x - 3*x - 3*x - 20 - 22. Let b be w(-12). Is ((-2)\/b)\/((-2)\/330) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 12 = -2. Let w = -42222 - -42206. Put y, w, -4, -2 in ascending order.\nAnswer: w, -4, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/3  (b) -418  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 15427958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c**3 + 14555*c**2 = 0. Calculate c.\nAnswer: -2911, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g = -18*i + 13*i + 9, 3*g - 7 = i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2 + 7)*(-3 - 1 + 2)*(-7 + 7 - 15*a)*(0 + 4 - 2).\nAnswer: 120*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 468*h - 73 + 693 = -l - 3*l, 2*h - 188 = 7*l - 2*l for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4.731 + -5.131. Sort 44\/9, r, 12 in descending order.\nAnswer: 12, 44\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.0601 - -0.0601. Let q = 229 - 226. Which is the nearest to q?  (a) r  (b) 0.06  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes before 1:44 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/3, -1\/9, -8, 66, -0.3, -2?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2800474 is divided by 736?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*l + 4*l**2 - 2*l - 1 + 1 + 12*l**2 + (14*l - 16*l - 16*l)*(7*l - 2*l - l).\nAnswer: -56*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 76975 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes after 2:05 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5387, -0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -585*d**2*v + 11*d**2 - 289*d*v + v**4 + 6122 wrt v.\nAnswer: -585*d**2 - 289*d + 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*s**5 + 66*s**4\/7 - 2092*s**3\/7 - 3720*s**2\/7 + 176*s = 0. What is s?\nAnswer: -14, -2, 0, 2\/7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*g**5 + 0*g + 2*g - g**3 + 10*g**3 + g + 3 wrt g?\nAnswer: 60*g**3 + 54*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3568, -3730, -3992, -4348, -4792, -5318, -5920?\nAnswer: -6592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiai when four letters picked without replacement from {f: 6, i: 4, p: 2, a: 1}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of 6*x + 1\/3*x**3 + 1\/2*x**2 - 1. Let d be h(5). Is d at least as big as 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/636 and 8\/3.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-33)\/l)\/l**0 assuming l is positive.\nAnswer: l**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 126775, 126771, 126767, 126763?\nAnswer: 126759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 + 35\/(-10))*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 7:31 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4.1 - -8.1. What is the closest to -5.7 in l, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/45 of a week in minutes?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2248?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-54)\/16*8204\/6153?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2149 less than -1591013385?\nAnswer: -1591011236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/(4\/14 - 36\/28). Suppose 5*n + 25 = 4*t, 2*t + p*n + 3 = -12. Solve 4*a + 12 = -t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - v - 202 = v, -82 = -h - 3*v. Suppose -g + 2*k = -38, 2*g + 0*k = 2*k + 66. What is the greatest common factor of h and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1008) - (2 + (2*sqrt(1008))**2)) + 5*(1*sqrt(1008))**2.\nAnswer: 12*sqrt(7) + 1006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 315295?\nAnswer: 5, 63059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2172 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 3748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:36 AM and 9:06 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 140837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*y + 512 - 533 = 1513 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 7) to base 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1815.9 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -5214, -6466, -9856, -16452, -27322, -43534?\n\"Answer: -178*k**3 - k**2 - 3*k - 5032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - 2 - (-60 + 34).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -103464*f**2 - 2*f - 13*f - 3*f**3 + 103464*f**2.\nAnswer: -3*f**3 - 15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 2993 divide 2168036417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -286568.2517 - 86.\nAnswer: -286654.2517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the second derivative of y**4\/2 + y**3 + 2*y**2 + y. Let g be v(-4). Suppose -g = -q - 3*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/45*-3)\/(8\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 102 divide 1984219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nrrn when four letters picked without replacement from rnnnrnnnnnrnnr.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 91993269 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 216691 and 5144.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -70*s**2 + 116785*s + 33350. Let r(z) = 35*z**2 - 58381*z - 16674. Let u(q) = 2*m(q) + 5*r(q). Factor u(f).\nAnswer: 5*(f - 1667)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of r**5 - 218*r**4 - 30*r**3 - r**2 + 10935.\nAnswer: 60*r**2 - 5232*r - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9066940 and 19040574.\nAnswer: 190405740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 AM and 11:19 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * -28.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 1650*m**3 - 6*m**2 + 9*m + 16. Is c(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104)\/sqrt(128) + 1*sqrt(13) + 4)*6 + (-3 + (sqrt(39)\/(-2*sqrt(3)) - (0 + sqrt(1053))))**2.\nAnswer: 129*sqrt(13)\/2 + 4825\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4.7 + 4. Let v = 0.2 + h. Let i = -2.01 + 0.01. Sort i, v, 5 in decreasing order.\nAnswer: 5, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 - 31\/8. What is the closest to 5 in -5, -0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 3*t**3 - 78*t**2 + 9*t - 5. Let n(j) = -j**3 + 39*j**2 - 4*j + 2. Determine -5*n(i) - 2*q(i).\nAnswer: -i**3 - 39*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -338.9 + 339. Let g = 1.7 - -5.3. Let y = g - 7.02. Sort 1, i, 0.3, y.\nAnswer: y, i, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(288) + sqrt(18) - sqrt(18))\/sqrt(9))**2.\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -325 + 387. Suppose -3*w = 2*v - 43, -2*v = 2*v - 2*w - i. What is the remainder when v is divided by (3\/(-5))\/((-3)\/45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 - 18 = -3*i - 2*y, 3*y + 30 = 2*i + 2*y for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 12144 or 12133?\nAnswer: 12133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.4166 - 28.5834. Which is bigger: 40 or i?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 176862 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1707*l**5 + l**4 - 8*l**2 + 2*l + 53 wrt l.\nAnswer: 102420*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 5*d**2 + 2*d - 5. Let w be (-4)\/(-5) + 64\/20. Let s(v) = 5*v + 1 - w*v - v - v**2. Determine -i(h) - 3*s(h).\nAnswer: -2*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 15967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15787837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -69.7949009 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 9 + -14. Let l be 39\/(-52)*(-12)\/(-15). Let v = 1.8 + -2. Put v, l, f in decreasing order.\nAnswer: v, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 628162*w**4*z**3 + 4*w**3*z**3 - 7399277*w*z**3 + 2*z**3 wrt w?\nAnswer: 7537944*w**2*z**3 + 24*w*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9700471 or -9700475?\nAnswer: -9700471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 272260848.\nAnswer: 2, 3, 17, 31, 47, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*105\/225*-1.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 90*i**3 - 2*i + 154?\nAnswer: 270*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, 1, 0 in decreasing order.\nAnswer: 17, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72740?\nAnswer: 2, 5, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-17 + 61 - 29)*(2 + 1 - 2)*(2*i + 2 - 2 + 4 - 2*i - 4 + (3 - 4 + 2)*(2*i - i - 3*i)) as s*i + n and give s.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4188637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 2 s when three letters picked without replacement from zmmdddszdddssszdfss.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -225*p + 716 - 41 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -347, -730, -1093, -1448, -1807, -2182, -2585?\n\"Answer: -2*t**3 + 22*t**2 - 435*t + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8 + 86. Suppose 2*f + 9*y = 4*y + q, 0 = 4*f + 4*y - 168. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 343*h**2 - 687*h**2 + 343*h**2 - 4*h**3 - 3903.\nAnswer: -4*h**3 - h**2 - 3903","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -3*r + 4*x - 3, 2*r = 3*x + 3. Let c(y) = y - 5. Let m(j) = -3*j + 10. Let v = 14 - 12. Let n(b) = v*m(b) + 5*c(b). Determine n(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 0*h**3 - 44*h**4 + 979 - 52*h**4 + 2*h**3 - 25 + 67*h**4 with respect to h.\nAnswer: -116*h**3 + 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand -h**2 + h**2 - h**2 + (1 - h**2 - 1)*(2126 - 4199 + 2124).\nAnswer: -52*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -5*f + 3*f - 26, 0 = -4*z - 3*f + 31. Let l = 6 + -1. Solve 0*m + z = -l*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22256*s + 5512 = 22204*s for s.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-1)*3*52\/(-12)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (26*j**3 + 0*j**3 + 22*j**3)*(-3 - 1 - 1)*(16*j - 21*j + 9*j) to m + d*j**4 + v*j + p*j**3 + s*j**2 and give d.\nAnswer: -960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (8 - 3 - 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2, -2, 4, -2442?\nAnswer: -2442","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -8658.227967 rounded to zero dps?\nAnswer: -8658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/4 or -50820.3419?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -115 - -6?\nAnswer: -10d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4\/1801  (b) -0.56  (c) 0.4  (d) -4  (e) -2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 456791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -2248 + 3.05\nAnswer: -2244.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 424*l**2 + 3*l**4 + 414*l**2 - 777*l**2 + (0*l + l - 2*l)*(-l**3 - 4*l**3 + 3*l**3).\nAnswer: 5*l**4 + 61*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2839578 and 238.\nAnswer: 2839578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 4*m = -52, v - 37 = -3*v - m. Calculate the smallest common multiple of v and 405.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 - 4812\/8)\/(6\/(-12)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -k**4\/7 + 650*k**3\/7 + 4609*k**2\/7 - 6554*k\/7 - 10512\/7 = 0?\nAnswer: -8, -1, 2, 657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*q**2 + 0*q**2 + 2*q**4 + (-q**2 - 3*q**2 - 4*q**2)*(-1 + 4*q**2 + 1).\nAnswer: -30*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j - j - 6*j)*(0*j - 4*j + j).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(2\/3)\/(d\/((d*((d*d*d\/(d\/d**(-5)))\/d)\/d)\/d))*d**19\/d*d*d**(-6\/5) assuming d is positive.\nAnswer: d**(187\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -2*b**3 - 5*b. Let o be a(-4). Let q = o - -104. Suppose 0*u - q = -4*u. What is the highest common factor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1396365 is divided by 34?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 43 and 1892.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4651299?\nAnswer: 3, 516811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5255 and 14505?\nAnswer: 15244755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**2 + n + 2. Let t be -3 + 1 + 3 + 47. Suppose 4*i - 7*i = -t. What is the remainder when o(6) is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -4*y + 8*y. Let m be 37\/7 + y\/(-14). Suppose 7*w - 5*w - 27998 = m*t, 5*t + w = -28001. What is t rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 110 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -80*b*n**4 - 161*b*n**3 + 4848*b - 40*n**2 + 287*n wrt n?\nAnswer: -960*b*n**2 - 966*b*n - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ogoa when four letters picked without replacement from googaaaaaaaagg.\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -4*s**5 - 98007*s**4 - 800472170*s**3 - 2179552248352*s**2 - 1634013880722*s + 544737993463 = 0?\nAnswer: -8167, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.767 and -185.376.\nAnswer: -142.183392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/(-8) + -2)*2 - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 11 and 22.32718337?\nAnswer: 11.32718337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, 12, 0.3, -3.1, 0.19?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -2*i**2. Let d(c) = 333*c - 651*c + 80 + 160 + 324*c. Give d(j(x)).\nAnswer: -12*x**2 + 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.29 in 1, -2\/3, -9, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 266579 is divided by 133283.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4436208 divided by -105?\nAnswer: -211248\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 177501\/(-144)*-4*(-18)\/10. Let w = -8878 - v. Find the common denominator of 53\/12 and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*f - 42*f = 33 + 3 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 + 191a26?\nAnswer: 191a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 24 = -w + 3*v, -v + 20 = 5*w. Suppose -w*i + 18 = -2*i. Suppose 0 = h - i*h + 35. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 - -4. Let b = a + -3. Put b, -1\/4, 3 in descending order.\nAnswer: 3, b, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 109 = -106*z + 25 - 128 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (2 - (-6 + (2 - -4))) - -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 8) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -5 + ((-15)\/(-315))\/(1\/114). What is the closest to -1 in 0, -1\/2, -2\/33, s?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -212*x - 235*x + 43*x**4 - 36 + 452*x + (1 + x**3 - 1)*(-2*x - 2*x + 5*x).\nAnswer: 44*x**4 + 5*x - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -1*2*(-1*sqrt(288) + sqrt(288) + 1)*6)**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 112679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -619 - -920. Let s(u) = 41*u - 27. Let j be s(1). Calculate the greatest common divisor of b and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17 + -18. Let j = y + 0.92. What is j rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -169.5 and -0.037822?\nAnswer: 169.462178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r - 1 - 2. Let p(z) = 22*z**3 - 2*z + 1. What is the remainder when p(r) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -113\/48  (b) 6  (c) -4  (d) -3\/5  (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1596 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 4*y = b - 55, -2*b + 3*y + 31 = 0. Suppose -g - 7*l = -2*l - b, -4*l + 18 = 3*g. What is the units digit of (g - 7)\/(7\/(-70))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (52\/364)\/(((-27)\/(-1827))\/3)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 816554?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1780?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -24 - -51\/2. Sort 2\/5, 1\/2, o, 1\/6 in descending order.\nAnswer: o, 1\/2, 2\/5, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 2*o - 3. Let h(s) = -19*s - 2 + 4*s + 16*s. Determine -4*f(p) + 5*h(p).\nAnswer: -3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*h - 29*h**3 - 288 - 4*h**3 - 2*h**4 - 5*h**2 - 5*h + 32*h**3 as y*h**2 + u*h + b + s*h**4 + t*h**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-30)\/(-8) - 6\/8. Solve v*k - 7 = z, 5*z + 2*k + 18 = -0*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -162121 + a?\nAnswer: -162116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes after 10:21 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -2721600 to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -207*s**3 + 87*s**3 + 115*s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*u - u + 4*u - 3*u + 705*u**2 as w + l*u + k*u**2 and give k.\nAnswer: 705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2492961983 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3423, -3451, -3479, -3507, -3535?\nAnswer: -3563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -3*h. Let x(q) be the third derivative of 0 + 2\/3*q**3 + 2*q**2 + h*q - 1\/30*q**5 + 1\/12*q**4. Give x(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3 - -5. Let m = 135 - 120. Let w = 20 - m. What is the second smallest value in -2, w, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 4*q**2 + 7*q + 3. Let u(t) = t**2 + t. Let r(n) = -h(n) + 6*u(n). Let o be r(5). Let z = o + -128\/3. What is the smallest value in 2, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 9 - 241 = 0. Suppose 0 = 4*d + h - b, 3*h + 34 = 3*d + 2*h. Which is smaller: 11 or d?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 + 9 - ((-1716)\/8)\/(-33). Factor y*h**3 + 1\/12*h**2 + 4\/3 - 2*h + 1\/12*h**4.\nAnswer: (h - 1)**2*(h + 4)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes after 8:56 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 96600 and 336.\nAnswer: 193200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 16) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0007248 to six dps.\nAnswer: 0.000725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-19 - (-132)\/7)\/((-2)\/14). Let m(j) = 28*j - 4. Determine m(l).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = f + 2, -4*f = 4*w - 3*f - 18. Let z(k) = 5*k - 6. What is the tens digit of z(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -292  (b) 4\/5  (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i - 2. Let j(t) = -48*t**2 - t - 6. What is 3*d(s) - j(s)?\nAnswer: 48*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 102 and 96986.\nAnswer: 4946286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4234, 8468, 12702?\nAnswer: 16936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:33 PM and 8:30 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25, 2\/7, 0, 0.5.\nAnswer: -25, 0, 2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 460539806?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -623*h + 578*h = 180 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*q**4 - 12*q**2 + 83?\nAnswer: 20*q**3 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:06 PM and 7:39 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 852607316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i + 1. Let m(h) = 4*h. Suppose 0 = -4*n - 12 + 32. Suppose 0*o + n = 5*o. Let y be -3*(3 - 10\/2). Calculate o*m(q) + y*b(q).\nAnswer: -2*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/1647 and -103\/21078.\nAnswer: 3857274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 46\/9, 3\/10, -0.05 in ascending order.\nAnswer: -0.05, 3\/10, 46\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -3*b**3 + b**2 - 7*b + 46. Let j(t) = 4*t**3 - 5*t**2 + 6*t - 46. Let x(n) = 5*a(n) + 4*j(n). Let u be x(15). Sort -1, -2, u, -4.\nAnswer: u, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 59661 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10767 + 6917. List the prime factors of p.\nAnswer: 2, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*l - 0*l. Suppose -2*f = -0*f + 10. Calculate the smallest common multiple of 4 and 21 - (l + f)\/3.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-16)\/20)\/(3\/15). Let g be (1*l)\/4 - -4. Solve -9 = -0*j - g*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2*1*1\/1. Let m be (-17)\/(-34) - w\/4. Suppose p + 2*b + 3*b - 5 = m, 5*p + 4*b + 38 = 0. Do -10 and p have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((2*sqrt(216))\/(1*sqrt(162)))\/((sqrt(16) - (sqrt(176)*-2)\/sqrt(11))\/(sqrt(16)\/(sqrt(16)\/sqrt(4)))).\nAnswer: 10*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**3 + 12*u**2 - 15*u + 10. Let a = 12 - 2. Let g be y(a). Suppose -7*c + 5*c = -g. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (-2 - -1) + 2 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*o + 1893 = 1648 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2*z + 2 + 4)*(1 + z - 1).\nAnswer: -2*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2044*l + 27*l**2 - 24*l**2 + 2334*l to i*l + o + h*l**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.58 times -98789?\nAnswer: 156086.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -58\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1138.355 - 1133. Let d = -0.055 + a. What is d rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 32081*k. Let i(b) = -1175*b + 1. Calculate i(h(u)).\nAnswer: -37695175*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 934 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 13 (base 9) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6258934, 6258932, 6258932, 6258934?\nAnswer: 6258938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**2 + 2*z + 3. Let b be ((-1)\/(-3) - 1) + (-28)\/21. What is i(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -62 - 6*n**2 - 52 - n**3 + 3*n**2 + n**2 + 109 + 3*n. Let l = 3 - 7. Calculate g(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = r + 11, 4*d - 4 = r + 4. Solve 3 = -5*f + 2*z, 0 = f - 5*z - r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27698438 to the power of 1\/3, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 250*m - 263 + 2360 = 3*c - 99*m, 11*c = 13*c - 3*m - 20 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/5?  (a) -2\/5  (b) -3  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:47 PM and 3:35 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o. Let j = -53 + 48. What is u(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 67 divide 60233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*sqrt(96))\/sqrt(6) - (sqrt(64) + sqrt(64) + sqrt(64)*-3 + sqrt(64) - sqrt(64))\/sqrt(4))\/(sqrt(1152) + 5*3*sqrt(1152) + sqrt(1152)*-3*5).\nAnswer: -5*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-27)\/(-354)*28\/(-252)*(-4)\/(-1)\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 267, 264, 273, 300, 351?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, t: 1, p: 1, i: 1, u: 1, s: 2}. What is prob of sequence tus?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 9 = -s + 1, -j = -3*s - 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1151 by 18972.\nAnswer: 1151\/18972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 5*l**2. Let g(k) = 3*k + 43415. Calculate g(d(r)).\nAnswer: 15*r**2 + 43415","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Are -930190031 and -930190032 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15772272 by -6.\nAnswer: 2628712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1645 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*g - 3*g - 2*g + 2*g + 2*g - 3*g + (0 + 4 - 2)*(-2*g + 6*g - 3*g) + (65*g + 138*g - 50*g)*(-50 - 15 - 39).\nAnswer: -15907*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t - 4*t + 2*t)*(-4 + 5 + 1 + (2 + 1 - 2)*(-3 - 10 + 6))*(-7 + 1 + 3).\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.4 - -0.1. Let x = s + 0.1. Suppose 0 = 5*g, l + l + 5*g + 8 = 0. What is the second biggest value in x, l, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9\/8, 2, 0, 3 in descending order.\nAnswer: 3, 2, 9\/8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -39111567, -39111568, -39111569?\nAnswer: -39111570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1212 (base 4) in base 3?\nAnswer: -10210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*n + 4*n**2 + 4*n + 3*n + 4*n.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**2 + 2. Let o be f(0). Let r(n) = -3*n**2 + 11*n**o - 6 + 6. Let u(q) = q**2. Determine u(r(k)).\nAnswer: 64*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19.0845 - -0.4865. Round g to 1 decimal place.\nAnswer: -18.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**3 + 14*j**2 - 13*j - 4. Let p = 6 - 11. Let g = 18 + p. Let o be z(g). Put o, -12, 0 in ascending order.\nAnswer: -12, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 4*q**4\/3 - 510052*q**3\/3 - 34191176*q**2\/3 - 11227040*q = 0.\nAnswer: -66, -1, 0, 127580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -253 and -169733?\nAnswer: 42942449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-2\/11)\/x**(-2\/19)*(x**(-1))**(-1\/6)*(x**(-1\/2)*x)**(-3\/28)\/((x\/(x**(1\/5)*x))\/x*x**(-5)) assuming x is positive.\nAnswer: x**(1094887\/175560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = 3*v + 4*m - 67, -v - m + 21 = 0. Suppose -94 = o - 2*o. Suppose -t = t - o. What is the remainder when t is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (270\/(-25))\/(-6)*25. What is the second derivative of 12*a - 16*a**2 + 26*a + p*a**2 wrt a?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 2*f. Suppose 5*a = 10*a. Let i(h) be the third derivative of 5*h**2 + 1\/60*h**5 + 0 + 0*h + a*h**4 + 0*h**3. Give k(i(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (-2 + (2*sqrt(567) + sqrt(567) - sqrt(567)))*6 + -1 + 6*(-3 + sqrt(567) + (sqrt(567) - -1*sqrt(567)))*-3)**2.\nAnswer: -30996*sqrt(7) + 1001869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5494, -11, -4 in increasing order.\nAnswer: -5494, -11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 527 a factor of 357306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, o: 2}. Give prob of sequence io.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 3, p: 4, y: 9}. What is prob of picking 1 y, 1 p, and 2 v?\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 + (-90 - -80) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**2 + 120*r - 2162. Calculate the remainder when 2462 is divided by z(16).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -2*v. Let h(q) = -21*q - 104. What is h(d(w))?\nAnswer: 42*w - 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1506\/3765*1*70\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + p - 4 = 0, 9*h - 2*p - 7 = 6*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -3*o**3 - 10*o**2 - 25*o - 10. Let k be r(-11). Let b = k + -1357. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*-0.0254.\nAnswer: -0.00508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 494 is divided by 72.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from uurrruruuururruu?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1757, 3513, 5269, 7025, 8781?\nAnswer: 10537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k**0)**(-48)*((k\/(k\/((k**(1\/7)\/k)\/k))*k)\/k)**(-2\/93))**(2\/5))**48 assuming k is positive.\nAnswer: k**(-999104\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 602 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*((-50)\/15)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 589329, 1178660, 1767991, 2357322?\nAnswer: 2946653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 7, b: 5, n: 7}. What is prob of sequence nnr?\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -185, -226, -267, -308, -349?\n\"Answer: -41*i - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = 14*r - 13*r - 7 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3666021 is divided by 863?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(66)\/(-2*sqrt(30)\/sqrt(5)) + -5.\nAnswer: -5 - sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(-3))\/h*h**7*(h**(-1\/2))**(-30)*((h\/(h*h**(-2\/7)*h))**(1\/7))**(-43) assuming h is positive.\nAnswer: h**(1146\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, d: 4}. Give prob of picking 2 d.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7*8\/2*14\/(-392)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 a when three letters picked without replacement from {a: 3, u: 11}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 5. Let k be (1 - 0\/1) + h. Suppose y = k - 0. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8003, 32021, 72051, 128093?\nAnswer: 200147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 13) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*w = 21*w + 190. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 + 830*b**2 + 2482*b + 869. What is h(-827)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 61\/1 - (2 - (-1 + 2)). Suppose 7*o - i = 38. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/2, 0.04, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2443602623?\nAnswer: 7, 11, 863, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -1 - 89393*c + 89380*c + 1. Let l = 13 + -8. Let t(v) = -l*v - 4*v + 8*v. Calculate d(t(k)).\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2220022 (base 3) to base 9.\nAnswer: -2808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - -35 - (-4458 + 4391).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 243 minutes before 2:45 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + 2*j + 75 - 71 = 0, -22 = -b + 5*j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:30 PM and 12:53 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + s = 16, 3*n - 4*s + 32 = -n. Let z be -1 - 3*n\/6. Is z at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28 + -15 + 21 - 14 - -13?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 5 + 20*k - 8*k + 8 - 6. Let s be h(6). Let n = 112 - s. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**4\/o**(-1\/30) assuming o is positive.\nAnswer: o**(121\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12*1\/(-50)*25.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.54*-3879.\nAnswer: 5973.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -981, 2, 5.\nAnswer: -981, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 + -2 - (-99)\/63. Factor -u*y - 2\/7*y**2 - 2\/7.\nAnswer: -2*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 111637, 429005, 957951, 1698475, 2650577, 3814257, 5189515?\nAnswer: 6776351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 222\/(-740)*10\/(-21)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 20 + 7. Let f = s - 22. What is the second derivative of -3*v**5 + v - 7*v**f - 4*v wrt v?\nAnswer: -200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the first derivative of -d**3\/3 + 5*d**2\/2 - 6*d + 83. Give c(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -60*c + 5 + 10*c + 2. Let f = 22 - 36. Is t(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 3*y - 61 = 0, 2*n - 2417*y + 2420*y + 76 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1451.0768 - -1462.2. Let i = -11.1 + b. What is i rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -66 + 240?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 72266050 rounded to the nearest one million?\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 560811050 a multiple of 1175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 47.17737 millennia to years.\nAnswer: 47177.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1311 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 2\/25, -1, 2\/41, -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 215822561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*i - 52*i + 25 = 0. Suppose q - 196 = 4*x, 0*q - 2*x = i*q - 1024. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((-2*sqrt(612)*-1 - (sqrt(612) + -1)*5)**2 + -2 + ((sqrt(612) + 1)*6 + sqrt(612) - (4*sqrt(612)*-5)**2)).\nAnswer: 138*sqrt(17) + 239263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 + l)*(2107*l + 1880*l - 959*l + 499*l + 756*l).\nAnswer: 4283*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -5*i + 15, -4*i - 4*g + g = -12. Suppose 2*u - 5*a + 9 = 5*u, 6 = 2*u + a. Let z(k) = 3*k**2 - k + 3*k - k**u - 3 + 0*k**3. Give z(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 1943676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 129*v**6 - 277*v**2 wrt v?\nAnswer: 15480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 + 0 - 4) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 5 + 0)*(-3 - 1 + 2) - 1 + 2 - 3 - 2 - 3 + 4 - 4 - 4 + 2)*(-7*g + 7*g - 13*g**3) + 0*g**3 + 0*g**3 + g**3.\nAnswer: 170*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 20, 1, -44, -127, -260?\n\"Answer: -2*q**3 - q**2 - 2*q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 20 + -14. Let s(r) = -1 - 55*r + 54*r + 4 + 3. What is s(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -12019 less than or equal to -12004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 60 = -0*n. Suppose -g + 5*y = 7, g + 3*g - 4*y = 20. What is the units digit of g\/n - (-31)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2565 and 855?\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 5) + (-209)\/(-38)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/3*((-34500)\/(-25))\/(-23)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 + -225?\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 121199?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4 and 62?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 646135 is divided by 2437?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4155374 is divided by 375?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1863498.\nAnswer: 2, 3, 7, 13, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 34*j**2 + 136*j + 136. Let i(y) = -y - 1. Let h = 12394 - 12258. Determine h*i(t) + s(t).\nAnswer: 34*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l - 8. Let j be g(5). Let n be 5\/(-3 + (-8)\/(-2)). Suppose 12 = -n*o + 2. Which is smaller: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25758881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1.7 times -0.1\nAnswer: 0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -4. Let d(o) = -o + 1. Let q = 16 - 32. Let v = 11 + q. Let a(b) = v*d(b) - x(b). What is the derivative of a(w) wrt w?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -5 - 6 + m**3 - m**2 + 4 + 12*m**2 + 9*m. Let j(x) = -10*x**3 + x**2 - 4*x + 3. Let u be j(1). What is the units digit of v(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*k**3*y - 1153*k**3 + 24*k**2*y + k**2 - k*y - 25*k + 19066*y wrt k?\nAnswer: -18*k*y - 6918*k + 48*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the second derivative of -9*n**3\/2 + 4*n. Let b(i) = -i. What is b(k(o))?\nAnswer: 27*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 - 3.6. Let u = -0.1 - -0.05. Let l = u - 2.95. Put t, l, 0 in decreasing order.\nAnswer: t, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 180 by -12.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -44024\/15 + 2938. Calculate the common denominator of -1\/24 and i.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 192397, 192736, 193077, 193420, 193765?\nAnswer: 194112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5019 - -4831.69. Let j = 189 + v. What is j rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(2\/3)\/q*(q**8*q)\/q)**(3\/5)*(q*q**(-4)\/q*q*q**(-5\/3))**(3\/14) assuming q is positive.\nAnswer: q**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*q - 29*r - 110 + 66, -2*q - 3*r - 13 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*t + 39 - 58 = 0. Let w be (1 - 1) + 1 + 40. Let h = w - t. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24)\/21 - -1 - (-1365)\/4410.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2 - (-1 - 157408\/(-26642)). Let r = l - 1\/1211. Calculate the common denominator of r and (7\/3)\/(16\/156).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*s - 1 - 14 - 2*s)*(-119 + 36 + 54) to z + k*s and give k.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v + 3*v - 5 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -203*f - 2. Let u(l) = -27*l**2 - l - 2. Give u(i(x)).\nAnswer: -1112643*x**2 - 21721*x - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 51 + 4. Calculate the highest common divisor of x and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 3017070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -141 - -486. What is the remainder when f is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2226 - -2227. Solve 0 = 3*n + 2*k - d, -5*n + 6*n - k = 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v - 1. Let q be i(-3). Let p be (q\/((-8)\/2))\/(-2). Let l = 0.08 - 3.08. Which is the closest to -1\/2?  (a) l  (b) -2\/3  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -102 - -29. Let b = -72.56 - q. Let f = b - 0.64. What is the biggest value in 5, 0, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7*83\/((-33698)\/1102)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 9895682, 19791362, 29687040, 39582716, 49478390, 59374062, 69269732?\n\"Answer: -n**2 + 9895683*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12453761051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 516768?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/27, 1937, -0.1, 0.1, 0, -1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 986616895.\nAnswer: 5, 11, 19, 503, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 374568887 to the nearest integer?\nAnswer: 19354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 291 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 859 (base 15) to base 6.\nAnswer: 12420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*t**4 + t**3 + 15*t + t**4 - 2 - 17*t as u*t**2 + k*t**4 + f + l*t + w*t**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of x**6\/9 + 2*x**5\/5 + x**4\/3 + 102. Solve b(t) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 16*f + 150. Let r be j(-9). Solve 0 = -r*l + 7 - 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the third derivative of -899*j**8\/336 - 1793*j**5\/60 - 488*j**2 - 2*j. What is the third derivative of n(y) wrt y?\nAnswer: -53940*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25372944 divided by 48?\nAnswer: -528603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((5360\/(-67))\/(-40))\/((1\/(-1))\/((-1)\/93)).\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*j**2 + j**2 + 4*j**2 + 8*j**2 to the form i*j**2 + d*j + x and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 2*i. Let q be ((-14)\/4)\/(4\/(-16)). Let u(f) = 16 + q + 69 - 225*f. Let o(w) = -9*w + 4. Let k(s) = 99*o(s) - 4*u(s). Determine k(t(g)).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14 - 137*n + 113*n - 15.\nAnswer: -24*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1217 (base 12) to base 4.\nAnswer: 133303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.2999546 + 0.3. What is s rounded to 6 decimal places?\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 63\/10 - 24\/5. What is the nearest to -0.1 in 3\/4, r, 8\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 - y + 9. Let f(h) = -h**3 - h**2 - 10. Let r(o) = 5*f(o) + 6*j(o). Let k be r(6). Differentiate -4 + 3*w**k + 7*w**2 - 7*w**2 wrt w.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1*(-1 + 9) + 316\/79. Let z be ((-245)\/4 - (-4)\/(-1))*v. Calculate the highest common factor of 29 and z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from {e: 2, q: 3, c: 2, t: 4, j: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 312251 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**3 + b - 4. What is the remainder when v(-3) is divided by 8\/12 + (-124)\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 1 - ((50 + -28 - 12) + 4 + -30)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0083725 rounded to 4 dps?\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 16*u + 2. Let c(w) = 8642 - 4323 - 4319 + 66*w**2. Give b(c(s)).\nAnswer: 1056*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -294229\/13870 + 1582\/73. Find the common denominator of c and 43\/32.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4134.73 * 0.06\nAnswer: -248.0838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 2*j + 6 = 0. Let c(u) = -1071*u**2 + u**3 + 40 - 3*u - 3*u + 1083*u**j. Is c(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in r - 4 - 24 + 5.\nAnswer: r - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y - 3*i + 17 = 0, y - 5 = -5*i + 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1525*o**2 + 60*o*p**2 - 220262*p**2 wrt o.\nAnswer: -3050*o + 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1037 (base 8) in base 4?\nAnswer: 20133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 2*h**3 - 4*h**2 - 97*h + 14. Calculate s(-8).\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -39 + 56. Let y = q + 5. Let l(m) = y*m - 14*m - 10*m. Let o(t) = -24*t. What is o(l(r))?\nAnswer: 48*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 176190 and 125850.\nAnswer: 880950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -20 (base 3) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (((sqrt(132)*1 - sqrt(132)) + sqrt(132))\/sqrt(12) - sqrt(22)\/sqrt(8)) + (-4*1*sqrt(121))\/sqrt(11).\nAnswer: -7*sqrt(11)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the first derivative of 0*m**2 - 1\/24*m**4 + 1\/40*m**5 - 6*m - 17 + 0*m**3. Let b(p) be the first derivative of x(p). Let b(h) = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.5694004 litres?\nAnswer: 569.4004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 54168 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the third derivative of -p**5\/60 - 7*p**4\/24 + 11*p**3\/6 + p**2. Calculate the lowest common multiple of 2 and k(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000925684 to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*n + 286 = 14*k, 3*k - 478*n = -475*n + 57 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 151  (b) 13\/5  (c) -14  (d) 3  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.05061366 + 0.89061319. Let z = -0.84 + j. What is z rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 73138 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, f: 2, h: 1, n: 1, g: 1, o: 1}. Give prob of sequence gn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 6*s**3 + 8*s**2 + 7*s - 9. Let w(u) = 5*u**3 + 7*u**2 + 6*u - 8. Let f(j) = -7*j**3 + 1. Let y be f(1). Give y*m(g) + 7*w(g).\nAnswer: -g**3 + g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9882 is divided by 260.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 31 + -29. Suppose -4*k - 3*g - 2 = -h*k, 0 = 2*g + 8. Calculate the smallest common multiple of 29 and k.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10190, -10194, -10198, -10202, -10206, -10210?\nAnswer: -10214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127341 is divided by 7958?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**3 + 16*g**2 - 29*g - 16. Is q(6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/15*-8*6\/(-24)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4959 is divided by 4950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -7*(405\/225)\/((-42)\/20). Solve a*u + 9 = 15*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 11*z - 4. Let k be v(7). Calculate the highest common factor of 803 and k.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4720570 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(1\/2))**43)**5\/((i**1)**15*i**(4\/3)\/(i*(i\/((i**6*i)\/i))\/i*i*i)) assuming i is positive.\nAnswer: i**(529\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 127 - x - 127. Let p(d) = 25*d**2 + 6*d. Let l be 1 + -1 + -1 + -5. Let g(b) = l*r(b) - p(b). Let o(w) = 2*w**2. What is g(o(u))?\nAnswer: -100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w - 5. Let g(x) = -5. Let a(s) = 3*c(s) - 2*g(s). Let j be a(-5). Calculate the least common multiple of 3 and (14\/(-4))\/((-5)\/j).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15390 bigger than 4\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17672495 is divided by 53553.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/13, -3\/4, -7\/4, -1, -15?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-1\/4)*c**(4\/11)*c assuming c is positive.\nAnswer: c**(49\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l - 4. Let x(q) = 2*q. Let o(j) = -a(j) - 2*x(j). Suppose c - 3 - 12 = 0. Let k be 2\/(-1)*c\/(-10). Let v(m) = -4*m + 3. Calculate k*o(g) - 4*v(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -784424*d**3 - 1942106 with respect to d.\nAnswer: -2353272*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*u + 15 + 21 = 0. Suppose i = -2*o + 12, 4*o = -2*i - 3*i + 36. Suppose 136 = u*v + o. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -25753, -25860, -26037, -26284?\n\"Answer: -35*a**2 - 2*a - 25716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1273488542 + 3.\nAnswer: 1273488545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 56\/30*-40*((-168)\/294)\/4?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 44*z - 35. Let m(w) = 43*w - 30. Give 5*j(y) - 6*m(y).\nAnswer: -38*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*h + 1 + 0*h + 0)*(5 - 11 + 32) as p + a*h and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, 3, -40, 5 in ascending order.\nAnswer: -40, -5, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -26*k - 56. Determine s(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(-1))**2*((c*c**(1\/2)*c*c)\/c)\/c*c**3)**(-9\/2) assuming c is positive.\nAnswer: c**(-81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -737 and -1336.\nAnswer: 984632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u. Let a(h) = 34*h - 5. Let f(k) = -a(k) + 6*b(k). Let v = -636 + 629. What is the hundreds digit of f(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 - -1)\/(-1 + -1). Let q be (-2)\/(2*r\/4). Put q, -1, -5 in ascending order.\nAnswer: -5, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.2, -5\/6, 3, -0.05, -0.11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 358 - -3?\nAnswer: 35b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 297  (b) 0.4  (c) -5  (d) 0.3  (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*(i**12*i)\/i)\/i*i\/i**1*i*(i\/(i*i**(2\/3)))\/(i\/((i*i**(-19\/4))\/i)) assuming i is positive.\nAnswer: i**(79\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least as big as -837\/28910?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -500577 by 197.\nAnswer: -2541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 85\/2464 and 99\/784.\nAnswer: 17248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -3.1  (c) -3.82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:33 AM and 6:46 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0007972599 rounded to seven decimal places?\nAnswer: -0.0007973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-9)\/(-15) + (67\/5 - -2). Let w be 0\/(2\/(4\/(-2))). Suppose w = -4*b + 92 + o. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times -411?\nAnswer: -822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11595858 by -393.\nAnswer: 29506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**2 - 9*y - 25. Does 27 divide v(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 57ba16 + 4?\nAnswer: 57ba1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 158 + -157.7. What is the third biggest value in z, 1\/8, -4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 6933157*r + 9778338 wrt r?\nAnswer: 6933157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -41, -154, -327, -554, -829?\n\"Answer: q**3 - 36*q**2 - 12*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 345149?\nAnswer: 7, 49307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 358, 194, 28, -140, -310, -482, -656?\nAnswer: -832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.03571 - 0.035707977. Round u to seven dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and -1539013.\nAnswer: 307802.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1031 = 66*n - 841 + 734 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -237*u**3 + 484*u**3 - 248*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhdbdhbhbhhb. What is prob of picking 2 d and 2 b?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -5*x**3 + 3*x**2 - x - 10. Let l(z) = -5*z**2 - 7*z**2 - 5 + 12*z**2 + z**2 - 2*z**3 - z. Let g(f) = -7*l(f) + 3*v(f). Calculate g(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*p**2 + 0*p**2 - 2*p**2)*(3*p - 1 + 1)*(2*p - 5*p + 2*p)*(-55 + 84 + 266) to the form j*p + r + x*p**2 + y*p**4 + g*p**3 and give y.\nAnswer: -1770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*k - 2*k + 2*k)*(-235 - 737 - 174) in the form y + m*k and give m.\nAnswer: -3438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*h + 0*h - 3*h + (-7 - 3 - 1)*(1 - 2*h - 1) - 4 + 4 + h + (1 - 4 + 1)*(15*h + 17*h - 13*h) + 4 - 4 - h.\nAnswer: -23*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -1, -6, -2, -4 in descending order.\nAnswer: 6, -1, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 327736257?\nAnswer: 3, 109245419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that 2*d**4\/5 + 2856*d**3\/5 + 1190664*d**2\/5 + 116837056*d\/5 + 228934272\/5 = 0.\nAnswer: -644, -138, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 9*v**3 - v**2 - 18*v + 5. Is 29 a factor of g(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 187619749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 4*p**5 + 8*p**4 + 4*p**3 - 11*p**2 - 5*p + 21. Let k(c) = -5*c**5 - 9*c**4 - 4*c**3 + 10*c**2 + 6*c - 22. Let h(z) = 6*j(z) + 5*k(z). Factor h(o).\nAnswer: -(o - 2)**3*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 7094*k**2 - 26*k + 2234. Let f(t) = -788*t**2 + 3*t - 248. Let m(z) = -52*f(z) - 6*o(z). Differentiate m(h) with respect to h.\nAnswer: -3176*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-2907)\/(-12) + 0)\/(3\/8). Let p = 640 - y. Let w(j) be the third derivative of -j**4\/8 - 3*j**3\/2 + j**2. What is w(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 5 + 0 - 2335*q**3 - 2*q + 2334*q**3 + 1 - 5. Let p(g) = 2 - 4 + 0 + 3. What is 3*p(o) - s(o)?\nAnswer: o**3 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66321*p = 66320*p + 5*j + 20, 4*j = -20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 28101, 27806, 27527, 27270, 27041, 26846, 26691, 26582?\nAnswer: 26525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 787021942 a multiple of 5176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -287199\/145 >= -1980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -861*d. Let v(a) = 12*a + 3. Calculate v(t(m)).\nAnswer: -10332*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (9\/12)\/((-3)\/144). Let f be (1 - (1 - 0))\/2 - v. Determine w, given that 93*w**3 - f*w**2 - 192*w**3 - 24*w + 83*w**3 - 4 = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2 - -103)*-31 + (1 - 2). List the prime factors of k\/(-84) - (-4)\/(-14).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*y = -4*k + 128, 4*y = -4*k - 560 + 648 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the second derivative of -n**4\/12 - 7*n**3\/6 + n**2 - 6*n. Let b be w(-8). Let v(h) = -h**3 - 6*h**2 - 2*h + 3. Determine v(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*z + 2970 = -8*z. Let u = 306 + z. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the second derivative of -o**5\/16 - 25*o**4\/48 + 205*o**3\/24 + 225*o**2\/8 + 71*o. Factor w(b).\nAnswer: -5*(b - 5)*(b + 1)*(b + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 4*h - 12 + 0 = 0, 5*p + 4*h + 12 = 0. Suppose -5*g - 20 + 50 = p. Suppose 3*r + g = 78. Calculate the highest common divisor of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 216, 451, 686, 921, 1156?\n\"Answer: 235*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 556 and 39596.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 19, 39, 59, 79, 99, 119?\n\"Answer: 20*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -307 + 265. Which is bigger: -40 or l?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -18*h**3 + h**2 - 2*h + 1. Let b be q(2). Let x = 145 + b. Solve 0*j - 3*j = x*c + 13, 2*c + 1 = j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*n + 0*n + 2*n)*(0 + 0 + 2*n + (0*n + 2*n + 0*n)*(-4 + 4 - 2)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 8 = -24. Let q = 37 - u. Suppose -2 = 4*a - 3*w, 2*a - 3*a = -3*w + q. Solve 2*n = -p + a, 2*n - 4 = 2*p - 18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -375.82*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 12*t**2 - 32*t - 32. Let j(i) = -i**2 + 3*i + 3. Let u be (-108)\/162 + 196\/6. Give u*j(y) + 3*h(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.5 - -0.2. Let i = 1870\/9 - 208. Let o = 30.9 + -31. Which is the nearest to i?  (a) o  (b) -1\/6  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**2 - 25*i + 45. Let y be j(23). Let u be (y*2\/(-4))\/(38\/380). Factor -4\/7*k**4 + 8\/7*k**2 + 4\/7*k + 4\/7*k**u - 4\/7 - 8\/7*k**3.\nAnswer: 4*(k - 1)**3*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 11 = 5*g, 4*i = -g + 9 + 8. Suppose -7*t = -i*t - 216. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 - -1. Let b(a) = -149*a - 5. Let o be b(0). Sort -2\/5, d, o, 3\/8.\nAnswer: o, -2\/5, d, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*s**2 + 6*s**2 + s**5 - 2*s**5 + 0*s**2 + 0*s**2 + (2*s - 3*s + 2*s)*(-2*s**2 - 2*s**4 + 2*s**2).\nAnswer: -3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1211901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5980 + -4142. What are the prime factors of z?\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 4*r - 142, -74 = -2*r - 2*n + n. Let u = 16 + r. Let c be u\/13 + (-150)\/(-1). What is c rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -56*l - 53*l + 15*l + 102780070. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 601 and 1?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11211122 (base 3) to base 5.\nAnswer: -103102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -12*n. Let o(q) = 10*q. Let z(v) = 3*o(v) + 2*u(v). Let s(j) be the second derivative of -j**4\/12 + 46*j + 1. What is s(z(b))?\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 13*s - l - 57, -s = -95*l + 96*l + 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8153 = -653*d + 390*d for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*o**2 + 38*o**2 + 138388 - 138388.\nAnswer: 40*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3252.\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 6*u = -4. Solve -3*j + 10*l = 5*l - 3, -u = -4*j + 3*l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -279 + 498. What is the common denominator of 94\/4*2\/(-10) and (-1)\/(-4 - (-903)\/y)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 140265 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 32406210 and 32490?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 27825 and 253764?\nAnswer: 6344100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/9 in 1\/2159, 1, -0.3, 7, -2\/9?\nAnswer: 1\/2159","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/10 and 43\/75?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 30 - 80. Let j = -58 - s. Is 0.3 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-3)\/(-2))\/((-3)\/20). Let g = -6 - h. Let u = 35 - 18. Solve 1 = -g*i + u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -3, 0.05, -1736, -3\/2, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:03 AM and 10:56 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8119, 16235, 24351, 32467, 40583, 48699?\nAnswer: 56815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the second derivative of f**7\/168 + f**6\/40 + f**5\/80 - f**4\/16 - f**3\/12 - 58*f. Find s, given that l(s) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48904.\nAnswer: 2, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*g + 6*g + 43 = 5*o, -5*g = -35. Put -13, o, -4, 1, 2 in ascending order.\nAnswer: -13, -4, 1, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppchccppephqcewpc. Give prob of sequence epe.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 + -5. Let x(y) = y**2 + 5 + 0*y + 0 + 2*y - k. Let i(w) = w**2 + 1. What is -3*i(u) + x(u)?\nAnswer: -2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/((-288)\/(-80))*(-9)\/12. Let o = -4.5 - 1.5. Let p = 0.05 + 0.35. Which is the second biggest value?  (a) p  (b) s  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of j**3*u**2 - 66*j**3 - j**2 + 1253*j*u**2 + 31*j + 5*u**2 wrt u?\nAnswer: 2*j**3*u + 2506*j*u + 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g = -104 - 29. Suppose -3*p - 211 = -7*p - 5*c, 3*p - 162 = -3*c. Calculate the remainder when p is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11.5 + -0.5. Let j = -13 - o. Which is the closest to j?  (a) 3\/5  (b) 3  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 207483 and -0.04.\nAnswer: -8299.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 632 and 790.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (91\/(-40))\/(-1) + (-4)\/(-32). Factor 2\/5*z**4 - 8\/5*z + u*z**2 + 2\/5 - 8\/5*z**3.\nAnswer: 2*(z - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 736\/3927 - 2\/357. Which is the third smallest value?  (a) -12  (b) -1\/4  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 5\/2 - (-2)\/4. Let u be (-2 - (2 + -7)) + 16. Let b(p) = 14*p + 9 + u*p - 29*p. Let n(s) = 2*s + 4. Determine k*b(h) - 7*n(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:29 AM and 9:43 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 73161426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -34 (base 10) to base 16\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1bc (base 16) to base 4\nAnswer: -12330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -51969700 rounded to the nearest 1000000?\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/26 + ((-321718)\/(-17732) - 25) - -9.\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence neng when four letters picked without replacement from {e: 6, l: 1, n: 2, c: 1, g: 8}.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -17 - -17.07. Let r = -68.235 - -68. Let k = -1.765 + r. Put k, z, 3 in descending order.\nAnswer: 3, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2012215687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -2*m**2. Let h(l) = -13037347*l + 13037347*l - 60*l**2 - 4. What is r(h(d))?\nAnswer: -7200*d**4 - 960*d**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*g - 72 + 3 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**3 - n**2 - n - 1. Let o(w) = -w**3 - 4*w**2 + 5*w + 2. Let l(f) = o(f) + 2*s(f). What is the remainder when l(6) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/1348 and ((-56)\/(-20) - (2 - -1))*1.\nAnswer: 6740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the second derivative of -k**3\/6 + 35*k**2\/2 + 21*k. Let i be 168\/15 + (-2)\/10. What is the units digit of q(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p - 1. Let q be i(-6). Let g be 12\/(-18)*(-18)\/(-24). Put -0.1, q, g in decreasing order.\nAnswer: q, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*n + 10 = 3*n. Let i = 33 - n. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1538*k - 1544*k + 54 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**2 - 15*i - 14. Let p be n(16). Let f(z) = 4*z**2 + 0*z**2 + 2*z**2 - 5*z**p - 10 + 5*z. Let u = -6 + -1. Give f(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7 + 7 - 7*x - 2*x**5 + 4*x**5 wrt x?\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1861195243 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 110 + 176. Let q be t\/(-556) + (75\/(-20) - -4). Let o = -5971\/834 + q. What is the common denominator of o and 25\/13?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-460)\/110 + 4*1. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -117 divided by 13\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -480 - -479.7. What is the smallest value in t, 3, -14, -1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**3 - 4*f**2 + 96*f - 482. Give m(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 189 divide 130290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 56664*g**5 + g**4 + g**3 - 73048*g**2?\nAnswer: 3399840*g**2 + 24*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 15) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, o: 1, r: 1, m: 1, x: 1}. Give prob of sequence ox.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**2 - 5. Suppose i + 6 - 6 = 0. Determine d(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 6*k + 11. Let b(x) = 5*x + 12. Calculate -3*b(g) + 2*v(g).\nAnswer: -3*g - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1 - -2)*36\/3. Suppose 1214 = 4*i + 62. Calculate the highest common factor of i and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 + 3*k**2 + 2*k. Suppose -13*o + 9*o = s + 14, -3*o = 4*s + 17. What is j(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 + -9. Sort -3, x, 2.\nAnswer: -3, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15998, 16873, 17748?\nAnswer: 18623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 13875, 28988, 45333, 62910?\n\"Answer: 616*n**2 + 13265*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 4*y = -0*y + 9, -3*h + 5*y = -20. Suppose -16 = -5*n + 3*n. Let w = n - -1. Solve -3*x + 1 = -2, -h*c = x + w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2216.5 minus 17398.1657?\nAnswer: -19614.6657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 507557942.\nAnswer: 2, 29, 41, 61, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*i**2\/7 - 50*i\/7 = 0. What is i?\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*a**4 + 5*a**4 - 4*a**4 + (0 - 4 + 2)*(0 + 2*a + 0)*(0*a**3 + a**3 - 2*a**3) + 2*a**4 - 4*a**4 + 16*a**4.\nAnswer: 21*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**4\/3 - 2*z**3 + z**2 + 10*z\/3.\nAnswer: z*(z - 5)*(z - 2)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2*1*(1 + -2). Suppose 3*v + 24 = 5*z, 0*z + 9 = -v + h*z. Sort v, 1, -5 in descending order.\nAnswer: 1, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -420 + -155?\nAnswer: -575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 218794326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**4\/(a*a**(-1\/4))*a**(2\/9)\/a**5)**37 assuming a is positive.\nAnswer: a**(-2035\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l - 2 - 104. Let d = l + -37. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5.5 - 5. Suppose 0 = 2*s - 5*n + 5, -n + 4*n = -s - 19. Let f be (2 + 1)*s\/60. Which is the nearest to -0.16?  (a) 2\/13  (b) f  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1207337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:57 PM and 1:01 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*i**2 + 1308*i - 102*i**4 - i**2 + 2*i**3 + 100*i**4 - 199*i - 4*i**3 in the form d*i**4 + t*i + s + n*i**3 + a*i**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 30*n**2 + 1362*n - 1362*n.\nAnswer: -30*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the first derivative of -x**3\/3 - 7*x**2\/2 - 6*x - 7. Give c(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes before 8:56 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 49*f**3 + 27*f**2 + 8*f + 27. Let h(j) = -26*j**3 - 14*j**2 - 4*j - 15. Give 11*h(i) + 6*z(i).\nAnswer: 8*i**3 + 8*i**2 + 4*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.005882 * 15.32.\nAnswer: 0.09011224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -10 - (7 + -15)\/1. Let t(q) = 7*q**2 + 2*q + 2. Let k(s) = -s**2. Let u(y) = -6*k(y) - t(y). What is u(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kipkkiieeepipeepppe. What is prob of sequence ep?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b + 18*b = 5*b + 88 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 62546.\nAnswer: 2, 11, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/3))**(-33)\/(j*j**(-1)*j**(2\/13)) assuming j is positive.\nAnswer: j**(284\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.4  (b) 1\/5  (c) 23  (d) -4  (e) -359  (f) -51\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*x + 3*x**4 + 0*x**3 + 3*x**3 + 2*x**3 - 4*x**3 to m*x**2 + p*x**3 + z + w*x**4 + g*x and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1156 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 22982639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the third derivative of 73*z**4\/24 + 130*z**3\/3 - 2*z**2 - 15. What is the derivative of d(w) wrt w?\nAnswer: 73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20392 is divided by 145.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**4 - 600*x**3 + 30576*x**2 - 654368*x + 5061888.\nAnswer: 4*(x - 72)*(x - 26)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (91\/(-21))\/(1*(-11)\/(-33))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqccqccccccccc. What is prob of sequence ccc?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 38*z - 25. Let u(b) = 9*b - 6. Let s(t) = 2*f(t) - 9*u(t). Let g(l) be the first derivative of -11*l**2\/2 + 7*l + 21. What is -3*g(v) + 7*s(v)?\nAnswer: -2*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 4 + 7 - (-53 + 40 + -25)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12299\/4784 - 5\/598. Suppose 3*z + 39 + 39 = o, -4*o = 4*z - 264. Find the common denominator of o\/(-6)*1\/2 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 313, 1, 0, 1\/2, -0.5 in descending order.\nAnswer: 313, 1, 1\/2, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, d: 2, x: 1, z: 2, k: 4}. Give prob of picking 1 x and 1 e.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1*1 - (4 + -8). Suppose 69*a - 71*a = 6. Let g be (0 + 1)*s\/a. Which is smaller: g or -2\/27?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f - 5. Let u(o) = -o - 4. Let n = -13 + 17. Calculate n*x(v) - 5*u(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -q + 114. Suppose 4*v + v - 309 = 2*w, 4*v - 5*w - 237 = 0. Let k = v + q. 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 ((-810)\/(-117) + -7)*(3 + -4)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*t = 10*t + 20. Suppose -t*x + 2002 = 10*x. List the prime factors of x.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 11178 = 3*n, 75*n - 67042 = 18*x + 70*n. What is x rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 533 divide 995694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1902 is divided by 311?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the second derivative of 41*v**5\/20 - v**3\/6 - v. Is 13 a factor of d(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-19 - 1 - 57)*(2*i - 2*i - i + (1 - 1 - 3)*(-5*i + 0*i + 4*i)) to b + l*i and give l.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(114) + (2*sqrt(114) + sqrt(114))*3 - sqrt(114))\/(sqrt(96)*-1).\nAnswer: 9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -9*l**2 - 21*l - 3*l**2 + 19 - 8*l**2. Let t(k) = -10*k**2 - 10*k + 9. Let w(b) = -9*t(b) + 4*z(b). Is w(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -4*n - 967. What is c(31)?\nAnswer: -1091","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1562, -1534, -1518, -1520, -1546, -1602?\nAnswer: -1694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and -2214?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 3 - t**2 - 70*t**3 + 39*t**3 + 4*t**2 + 30*t**3. Let n(r) = 12*r**3 - 32*r**2 - 32. Give -3*n(l) - 32*z(l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 384 = -12*m + 776 - 344 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 492.853 and -0.4.\nAnswer: -197.1412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3\/8  (b) -1\/2  (c) -0.4  (d) -1107.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -560291 less than -1026221?\nAnswer: -465930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 625574903 to the nearest integer?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 850545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 63 + 43. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8.4 + 8.1. What is the third biggest value in 0.24, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2982 = -2*q - 2*r, 7*q - r - 4473 = 4*q. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 3*q + 2. Suppose 8*j - 6*j = -8. Let z be ((-42)\/j + 0)*4\/6. Determine i(z).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**3\/7 - 6933*v**2\/7 - 990*v.\nAnswer: -3*v*(v + 1)*(v + 2310)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**3 + 8*q**2 + 8*q + 8. Let s be m(9). Let a = -7 - -4. What is the nearest to s in -4, a, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17 + 16. Suppose -2*g = 7*c - 4*c - 39, g + l = 2*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3938558138 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -257, -277, -331, -437, -613, -877, -1247, -1741?\nAnswer: -2377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 3\/8, 1468, -2, -0.11.\nAnswer: -2, -0.3, -0.11, 3\/8, 1468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 26 - 29. Let f be (18\/(-21))\/(s\/14). Factor o**5 + 6*o - 4*o**2 + 2*o + 3*o**5 + 4*o**f - 12*o**3.\nAnswer: 4*o*(o - 1)**2*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*x + 8 = -3*t + x, -5*x = -3*t - 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 302?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-819)\/(-12) + (-1)\/4. Let p = j - 24. What is the smallest common multiple of 14 and p?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*z**2 - 14*z**2 + 4*z**2 + 29*z**2.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -686*v + 1976 = -678*v. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 8\/(-80) - (-1865)\/(-350) and -79\/294?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 1\/700649?\nAnswer: 1\/700649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, d: 1, m: 4, u: 1}. Give prob of picking 1 u and 1 o.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 50231264 (base 8) to base 12.\nAnswer: 3655704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 13582*v + 5*v**2 - 6792*v + 3 - 6790*v. Let n(b) = 18*b. What is n(f(a))?\nAnswer: 90*a**2 + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -13755 (base 13) in base 10?\nAnswer: -36405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17 + 49*c + 17 to the form k*c + r and give k.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of 7*h**5\/60 - 11*h**4\/24 + 2*h**3\/3 - 431*h**2. Let r(d) = 3*d**2 - 5*d + 2. Give 9*r(p) - 4*v(p).\nAnswer: -p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes after 10:44 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 3*i + 136 = 0. Suppose 5*z = -i + 16. What is the units digit of z\/(-20)*(-10)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 373 = 17*a - 20*a, 0 = -7*a - 4*u + 855. Solve -30*v + a = 91 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*c**2 + 117*c**2 - 19*c**2 - 24098 - 24075 + 48173.\nAnswer: 126*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 23591596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -155 (base 7) in base 11?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**2 - 1. Give c(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a - 1. Let c(n) = -2*n**2 - 18*n - 24. Let q(r) = -c(r) + 6*f(r). Factor q(w).\nAnswer: 2*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -32 - -35. Suppose -f*m + 3 + 0 = 0. Suppose -3*o + 0*o + m = -k, -5*o = 4*k - 81. List the prime factors of k.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 646 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 57624811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2791.1 - 2786.1. Sort 0.3, -0.3, 0, -1\/4, m in descending order.\nAnswer: m, 0.3, 0, -1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -103\/838460 and -17\/1582.\nAnswer: 838460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*b - 39*b + 114*b - 40*b + 268*b**2.\nAnswer: 268*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-2)\/(-3))\/(4\/(-6)). Let f = 754 - 2264\/3. Let o = 53 + -58. Sort o, f, v in ascending order.\nAnswer: o, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 1 + 10)*(-12178 + 12178 - 83*y**3) + y - y + y**3 in the form f + x*y**3 + o*y**2 + r*y and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 74*b**2 - 5*b - 118. Let s(g) = 111*g**2 - 7*g - 177. Let r(c) = -7*f(c) + 5*s(c). Differentiate r(j) wrt j.\nAnswer: 74*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17400521 - 24.\nAnswer: -17400545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*x**2 + 5*x**3 + 3*x**2)*(-3 - 15 + 9)*(3*x - 2*x + 0*x) in the form y*x + g*x**2 + j*x**3 + l*x**4 + b and give l.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1382487 divided by -1.\nAnswer: -1382487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 + -1021201?\nAnswer: -1021201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 20354, 20358, 20362, 20366?\n\"Answer: 4*b + 20350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, j: 2, o: 1, k: 1, s: 2}. What is prob of sequence oqq?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -511 - -35?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, j: 2, h: 2, x: 1, c: 1}. Give prob of sequence ex.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1483, 4973, 8463, 11953?\nAnswer: 15443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -148, -301, -470, -661, -880, -1133, -1426?\nAnswer: -1765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:52 PM and 11:50 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*a + 20, 2*l + 7 = a - 12 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v + 11. Let f be u(-10). Let l(n) = 3*n**2 - 2*n + 4. Let g(p) = p - 1. Let h(d) = f*l(d) + 4*g(d). Find the second derivative of h(a) wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1463 is divided by 82?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 86b + -1?\nAnswer: 86a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 419089020 by 1686.\nAnswer: 248570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -2663 divided by 45?\nAnswer: -2663\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -40167, -80335, -120503, -160671, -200839, -241007?\n\"Answer: -40168*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63*p**2 + 0*p + 0*p - 96*p**2 + 209*p**2.\nAnswer: 176*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from {a: 2, e: 1, j: 2, f: 1, k: 1, o: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r + 2 - 6, 5*u = 3*r - 12. Suppose 3*d - 5*d - 4 = u. What is the nearest to 0.1 in 4, -0.4, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -105.2 - -120. Let v = w - -7.2. Let g = 22.09 - v. Round g to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**4 + 10*u + 0*u - 2*u**3 + 5*u**3 + 14*u + 34*u**2 + 8*u**3.\nAnswer: u*(u + 1)*(u + 4)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -3*b + w, 0 = -4*b - 7*w + 3*w + 20. List the prime factors of b + 115 + (-4 - -3).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0036 to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -51 + 3118c?\nAnswer: 3113b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-7)\/4)\/((-1)\/(-4)). Let b(r) = r**2 + 64*r - 337. Let f be b(-67). Let s = d - f. What are the prime factors of s?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange b - 1 + 1 - 219*b + 85*b - 661*b + 4*b - 5*b + 2*b + (-2*b - 2*b + 2*b)*(1 + 1 - 1) - 1 + 1 + b to p*b + y and give p.\nAnswer: -794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 14*j**2 - 22*j + 63. Let b be c(-32). Let t = b - 8972. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**6*i*i*i*i**(-2\/23)\/i)**4 assuming i is positive.\nAnswer: i**(820\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -288 + 309. Let q be 2\/5 - (-3570)\/(-50). Let t = -34 - q. Calculate the remainder when t is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*w**4 + 188*w**3 + 1061*w**2 + 6 wrt w.\nAnswer: -96*w + 1128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*v**3 - 223*v**2 + 3*v**3 + 221*v**2.\nAnswer: v**2*(11*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6\/(-18)*(-39 - 0). Suppose -4*h = w - 29, h - 4*w + x = -1. Suppose 5*d - 5 = -0*d. What is the greatest common factor of d and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the first derivative of -6*w**5\/5 + 11*w + 11. Find the first derivative of s(m) wrt m.\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -j*o**5 + 9*j*o**2 + 2*j*o + 628*o**5 - 3079*o wrt o.\nAnswer: -20*j*o**3 + 18*j + 12560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes before 3:12 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2*w - 1)*(-4*w + 0*w + w) + (-w + 0*w - w)*(26*w + 24*w - 35*w) + 5*w**2 + 6*w - 6*w.\nAnswer: -31*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes before 10:51 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14820 + -14822. Let j = 23\/2 + -12. What is the biggest value in -4\/7, 1\/3, z, j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 577, 1399 in ascending order.\nAnswer: -5, 577, 1399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 14845.\nAnswer: 2\/14845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 6 = 2. Let n(t) = 3*t - 2 - 4*t**3 + 4 + 3*t**3 + 2*t**2 - 5*t**2. What is the units digit of n(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = v + 3*v + 193, -2*v - 4 = 0. Let m = c - -45. Solve m*q - 10 = 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/20)\/(519\/(-865)). Sort n, -3, -4\/9, -55 in ascending order.\nAnswer: -55, -3, -4\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the third derivative of -1\/8*w**3 + 4*w - 1\/48*w**5 - 1\/480*w**6 + 0 + 3*w**2 - 7\/96*w**4. Suppose h(v) = 0. What is v?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -a + 2. Suppose -a*k + 4 = x - 1, -15 = 5*k. Calculate the least common multiple of x and 6*(0 - (3 - 20\/3)).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 116, 118, 122, 128, 136, 146?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*z**3 - 1 + 6*z**4 - 3*z**4 + 2*z**4 - z**2 - 2*z**4 - 2*z to f*z**2 + c*z + p + r*z**4 + d*z**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3336 = 116*k + 647 - 735 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68*f + 756 = -320*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-96)\/72)\/((-12)\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 + 7*r**2 + r - 5. Let u be y(7). Let z be (8 - 2)\/u + 12. Suppose -3*q - z = 0, -j = 8*q - 3*q + 17. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3 - (1 - 3 - 330). Let g be r\/2 + (-2)\/(-4). Suppose 0 = 5*l + 2*t - 128, 3*t + 374 - 410 = -l. What is the highest common factor of g and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -3*b + 6. Let s(i) = -i - 1. Give 2*s(x) + u(x).\nAnswer: -5*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-3\/5)*((b\/(b\/(b*b**(-1))))\/b*b)\/b)\/(b**(1\/3)*b**10\/b) assuming b is positive.\nAnswer: b**(-164\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 222 + -172. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u**2 + 10*u + 12. Let w be k(-9). Solve w*s - 6 = 6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -2*t + 77, -5*t + 0*m - 4*m = -212. Suppose -6*i + t = 4*y - 2*i, -2*i = 0. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 44 and 2794.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 44, 26\/201, -4 in decreasing order.\nAnswer: 44, 26\/201, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p\/((p\/(p*p**0*p*p))\/p))**(-1\/17)\/(p*p**(-7)*p**(2\/5)))**(-46))**(-43) assuming p is positive.\nAnswer: p**(901968\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 4*y + 2*o - 42, -4*y + 68 = -5*o. Suppose 2*q + r - 2*r - 52 = 0, 5*r = q - y. Calculate the remainder when q is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -195999 divided by -237.\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 137777 is divided by 45896?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30126*h = 30080*h - 46 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22\/(-3025)*-25*-99.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1105287 and -36.4?\nAnswer: -40232446.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 342146 is divided by 104?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 323 is divided by 150?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3331218337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.5  (b) -114  (c) 4  (d) 2  (e) 38.022\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -22a8ab (base 13) to base 10\nAnswer: -823171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + -2. Let j(n) = 7*n**3 + 2*n**2 - n. Let p(m) = 34*m**3 - m + m - 33*m**3. Let t be (-88)\/(-22) - (1 + -3). Give f*j(c) + t*p(c).\nAnswer: -c**3 - 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1050 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -202501236 (base 7) to base 2\nAnswer: -101101001100111010111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (542*m - 456*m - 2572*m)*(-m - 2*m + m) in the form d*m + o + k*m**2 and give k.\nAnswer: 4972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - n + 24 = -14, -64 = -4*l + 4*n. Suppose 4 = 19*f - l*f. What are the prime factors of 7\/14 - (-62)\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:12 AM and 4:36 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22 - 21 - (-2 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 135444 to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 228020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjjjjjhjhjhjjjjjhhh.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 0.8015298 centuries?\nAnswer: 961.83576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-2))\/(((-603)\/(-335))\/(4\/(-30))).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = 71 - 146. Is 8 a factor of (8 + -13)*(0 + (-168)\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -28 - -46. Suppose 5*a + 3 = -2. Let c be a*(2 + l\/(-2)). Solve 0*s - 4*s = 2*b + 14, c = -4*s + 5*b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -27*y - 82. Let d(c) = c**3 - 17*c**2 - 58*c - 43. Let z be d(-2). What is w(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 24*x**2 + 10*x - 1. What is f(1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w and 1 z when three letters picked without replacement from {z: 7, w: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 2*c - 10 = -o, 2*o = -4*c. Sort -4, 70, 5, o in decreasing order.\nAnswer: 70, 5, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 126 + -70. Which is smaller: p or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 0.3  (b) 4  (c) -0.2  (d) -1119  (e) -19\/83  (f) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 214*w - 3017 + 857 = 142*w for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 623932148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by 32?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - t = 3*p, 5*p + 5*t = -5. Let s = -1.1 + 1. Which is the closest to s?  (a) 1\/4  (b) -4  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -363*t - 1357. Determine y(-4).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4806, 4807, 4810, 4815?\nAnswer: 4822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**3 - b**2 + b + 1. Let o(z) = 122*z**3 + 26*z**2 + 2*z + 2. Let w(g) = -o(g) + 2*t(g). Find the third derivative of w(c) wrt c.\nAnswer: -744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-1288)\/(-420))\/46)\/(1\/(-3))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 6:40 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -103141 (base 5) to base 11.\nAnswer: -2734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 + -5 - -4) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -10*f**4\/7 - 15516*f**3\/7 - 2018392*f**2\/7 + 4921200*f\/7 - 1644544\/7 = 0. Calculate f.\nAnswer: -1408, -146, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 11, -2, -37, -106, -221?\n\"Answer: -2*a**3 + a**2 - 2*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*w + 40 - 10. Let s = -14 + 16. Suppose u + s = 4. Solve u*m - 12 = w*v - m, -4*v = 5*m + 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 2*b**2 + 4*b + 3. Suppose 3*x = -2*c - 3*c + 109, x - 23 = c. Let r = 29 - x. What is the remainder when i(-2) is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 588 divide 4527600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and (-20)\/(-3)*6\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 + 0. Let d be 4\/(-18) - o*(-37)\/18. Solve 2 - d = -3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = 10*w - 526. Calculate the remainder when w is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**2 - 15*q + 41. Let t = 50 + -37. What is the remainder when 86 is divided by v(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 60 = 9*r. Suppose n = 4*i + r - 5, 12 = 4*n. What is the common denominator of 15\/8 and 30\/(-66) + (i - -4)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/13227 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 29 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -20 + 17. Let b = 8 + h. Suppose 4*m + m - b = 0. Solve i = 1 + m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:34 PM and 9:41 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1887 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**3 + 8*y**2 + 9*y + 4. Let k = 4156 + -4162. Calculate i(k).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -1700*z - 28986. Give i(-17).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 25616610 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -15112, -27464, -39816, -52168, -64520, -76872?\n\"Answer: -12352*b - 2760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 79*q - 786. Determine c(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 40\/(-30)*-15*13\/(-65). Let g(i) = 3. Let q(v) = -v - 10. Let b(o) = 7*g(o) + 2*q(o). Let d(s) = s - 1. Determine f*d(y) - 3*b(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) 141764  (c) -2\/783\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 756 and 7146?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-242)\/(-33))\/(-22))\/((3\/(-3))\/(-9)*5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(240)*2 + sqrt(240))*-2 - sqrt(240))\/(sqrt(12) - (sqrt(1200)*-2 - sqrt(12))).\nAnswer: -7*sqrt(5)\/11 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/5)\/((-33)\/(-55))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*m**3 - 31662815*m**2 + 50126708517615*m - 50126676854805.\nAnswer: 5*(m - 3166281)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the first derivative of -c**2\/2 + 27. Let f(l) = 12*l**2 + 8*l - 8. Let d(o) = 8*o**2 + 5*o - 5. Let v(k) = -8*d(k) + 5*f(k). Calculate i(v(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -31 in 15\/2, -0.1, 5\/6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 223343 (base 5) to base 15\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 25)\/(-14 - (-1728)\/126 - (-66)\/(-14))?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1980875 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - w + 10 + 2.\nAnswer: -w + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 8, 44, 112, 218, 368, 568?\n\"Answer: s**3 + 10*s**2 - s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 134 + -1276?\nAnswer: -1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 934 - l**3 - 774 - l**3 + l**3 + 0*l + 0*l + (2*l - l + l)*(-l**2 - 5*l**2 + 5*l**2) + l**3 - l**3 - 2*l**3.\nAnswer: -5*l**3 + 160","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7 and 75677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2508b2 (base 12) in base 4?\nAnswer: -2103020012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(405) + ((sqrt(405) + 1 + sqrt(405))**2 - sqrt(405)) + -5*(sqrt(5) + (sqrt(5)*-1)**2 + sqrt(5)) - (0 + sqrt(15)\/(sqrt(21)\/sqrt(7))).\nAnswer: 25*sqrt(5) + 1596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -70, -13\/2, -5.\nAnswer: -70, -13\/2, -5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -63103, -63082, -63021, -62896, -62683, -62358?\nAnswer: -61897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -709*i + 1474*i - 801*i + 3.\nAnswer: -36*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -21221001 (base 3) in base 14?\nAnswer: -216b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 + 20. Suppose -g = -6*p + p - i, 2*p = 2. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 45 and 206.\nAnswer: 9270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the first derivative of -m**4\/96 + m**3\/12 + 56*m + 75. Let i(h) be the first derivative of t(h). Find g such that i(g) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 235 - -20?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 12) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*w = 5*p - 55*w + 19, w - 17 = 5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/(-2)*(5 - 1). Suppose -m + 5*j = 16, 2*m = 5*j - w - 4. Suppose -m*x + 5 = -15. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1195*q - 1193*q - 30 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84 = c + c. Let j be 1*70\/(-20)*(-301 + 1\/2*14). Calculate the highest common factor of c and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-27))\/((-9)\/108).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 2551*w**2. Let f(d) = d - 123648. What is f(u(v))?\nAnswer: 2551*v**2 - 123648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -269*h - 1044 = 6757 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -30130102 + -1?\nAnswer: -30130103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 5 + 0)*(-3*k**2 - 7*k**2 + 3*k**2) + (0 + 0 + k**2)*(-6 + 3 + 1) to the form x*k**2 + c + r*k and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -r + 3. Suppose 3*h = 15, -d + 5*h - 25 - r = 0. Which is greater: d or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 2 - 5*n**2 + 0*n**2 - 4*n + 3*n**2. Let w(h) = h - 1. Determine o(u) + 3*w(u).\nAnswer: -2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -601 + 2551. What are the prime factors of x?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/10 in 0.1, -6\/11, 4, -2?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**2 + 15*h + 16. Let v be b(-15). Solve 5*t = 2*f - 19, f + v = -f - 2*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.5  (b) 1.1  (c) 89  (d) 5  (e) -184  (f) -6\/7  (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 5.1, -10, -25, 1\/5, 35\/4 in increasing order.\nAnswer: -25, -10, 1\/5, 5.1, 35\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 + 815*s + 1628. Suppose u = -a + 2*u + 28, 0 = -a - 4*u + 8. Calculate the remainder when a is divided by x(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*u**5 - 128*u - 52*u**4 - 5*u**3 - 32*u**3 - 3823819*u**2 - 11*u**3 + 3824027*u**2 = 0 for u.\nAnswer: -2, 0, 1, 8\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*a = -2*f + 58*a - 8, -5*f - 3*a = -43 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(126) - sqrt(14))\/sqrt(2) + -3.\nAnswer: -3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1360 divided by 85.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the first derivative of r**4\/4 - 10*r**3\/3 - 2*r**2 - 18*r - 60. Let n = 16 + -5. Does 19 divide k(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-33)\/(-77) - (1 + 12\/28).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -692 - -820. Let w = 515 - k. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -4*d + 5*k - 0*k, -4*d = -4*k. Let f be (4\/7)\/(d\/7). Let t be (4\/(-12))\/(f\/18). Solve 4*x - 2*j = 5 + 7, 4 = -x - t*j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 75\/16 and 262\/40 + 28\/(-7).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the third derivative of o**4\/4 - o**3\/2 - 3*o**2. Let u(q) = -861*q - 866*q + 2580*q - 854*q. Calculate j(l) + 5*u(l).\nAnswer: l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 10, g: 4}. Give prob of sequence wgg.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2100 - 480. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 317948, 1271807, 2861572, 5087249, 7948844, 11446363, 15579812?\n\"Answer: t**3 + 317947*t**2 + 11*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 31047185 by -140485.\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1020222 + 112?\nAnswer: 1021111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -416*q - 1. Let i(o) = -2*o. What is r(i(l))?\nAnswer: 832*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of u**5 - 9173819*u**4 - 2*u - 8671957?\nAnswer: 20*u**3 - 110085828*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3463, -6935, -10409, -13885, -17363, -20843?\n\"Answer: -g**2 - 3469*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w\/w**41)\/w)**(3\/2))**15 assuming w is positive.\nAnswer: w**(-900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = -3*q + 51. Suppose 0 = -9*u + 10*u - q. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11\/2200*20*((-24)\/(-3))\/(-1)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the second derivative of -n**5\/20 - n**4\/3 + n**3 + 3*n**2 + 3*n. What is the remainder when 3 is divided by o(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 + (1 - 0) - 41. Let h = 57 + j. Suppose 4*g - h = 2*g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -2*c**3\/7 + 702*c**2\/7 + 24072*c\/7 + 168520\/7 = 0.\nAnswer: -22, -10, 383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3540 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2111 + -11?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3720 and 620?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 + -1017?\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 64 and 273744.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 227334 and 162?\nAnswer: 6138018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2512 + -2513.1. What is the second biggest value in 2\/19, h, 1\/21?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 + m**3)*(0*m - 2*m + 0*m)*(2*m - 2 + 2).\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:31 PM and 10:55 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 + -17.0619801?\nAnswer: -16.7619801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -12901*t*x**4 - 4322*t - 2*x**6 + 126*x**2 wrt x?\nAnswer: -309624*t*x - 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2234495027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1419 - -1664. What is the remainder when a is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51778041.\nAnswer: 3, 7, 2465621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10666?\nAnswer: 2, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 - 1. Let i(x) be the third derivative of -5*x**4\/24 + x**3\/6 - 54*x**2. What is i(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 12082 = -32152. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 321*r**3 - 2*r**2 - 822.\nAnswer: 963*r**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 589309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -4*q - 4. Let i be u(3). Let f be (2\/(-8))\/(10\/i). Let c = 1 - 2. What is the nearest to f in 2, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16451, 32902, 49353, 65804, 82255, 98706?\nAnswer: 115157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16705?\nAnswer: 5, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 12 = 0, -29*f + 24*f = 17*d - 3897008. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 633321 divided by -5413\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 15865010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0, -11, 5 in ascending order.\nAnswer: -11, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -2005\/376 != -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 320*y + 8. Let d be w(1). Suppose -d = -9*l - 4. What is the remainder when l is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13 and 7397?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60664306 (base 7) to base 14.\nAnswer: 95943d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 153111, 306343, 459603, 612891?\n\"Answer: 14*k**2 + 153190*k - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-3)\/(-6)*-4 - -214 - 1.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -109*i**2 - 1. Let o(n) = 147*n. What is o(c(v))?\nAnswer: -16023*v**2 - 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m + 4*r + 8, -3*m - 3*r + 24 - 3 = 0. Suppose -n - 3*a = -m, -4*a = -3*n - a - 18. Let j be (-8)\/5 + 1*(-1 - n). Is j > -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -941*v + 1372?\nAnswer: -941","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -166 + -171. Let o = -334 - t. Let s = 2 + -2.5. What is the second biggest value in s, 1, -2\/15, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.036 - 0.036. Let t be 2\/(-6) + (-1)\/(-12). What is the third biggest value in t, 5, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 5*s + 18 = n, -5*n + 4*s = -26. Suppose 0*x = n*x + 5*d + 16, -5*x - 4*d - 6 = 0. Solve 0 = -p + 2, 2*r - 2*p - 2 = x*p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*f**3 + 38*f**2 + 102*f = 0.\nAnswer: -3\/2, 0, 17\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 11064*i - 1015. Is c(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27322 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: Factor -3*s**2 - 3236772*s + 200691396.\nAnswer: -3*(s - 62)*(s + 1078986)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*-3*((5 + sqrt(468)*-2 - sqrt(468)) + sqrt(468) + sqrt(468)*1 + -3).\nAnswer: -18*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -31 - -38. Let o = 14 - k. What is the closest to o in 3, -2, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -3*y + 33, 4*o + 5 = -4*y + 45. Solve 3*f - y = 3*r + 5, -r + 10 = 3*f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (22 + -1 - (300 + -294)) + -35\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lcu when three letters picked without replacement from {l: 2, q: 1, a: 1, c: 2, u: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 11.\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the second derivative of 13*k**5\/20 + k**3\/3 + k**2\/2 - 3*k. Suppose 28*a + y = 31*a + 7, 4*y = 4*a + 20. What is m(a)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*g + 20 = -4*f, -3*f - 36566*g + 36571*g - 15 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 308908907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 10007401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes before 10:16 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -4336.42 rounded to the nearest one hundred?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 - -9. Suppose 0 = -h*g + 5*g - 24. Factor -x + 13*x**2 + g*x**2 - 13 + 3*x**3 + 46*x + 40.\nAnswer: 3*(x + 1)*(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 2 + (19 - 5) - (-3 + 14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1228293?\nAnswer: 3, 11, 19, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from didifmtlidt. What is prob of picking 1 d and 1 i?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 177871435 and 511?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -15*j + 2. Let w(o) = 14*o - 2. What is 6*m(h) + 5*w(h)?\nAnswer: -20*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24 and 2204?\nAnswer: 13224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/12*6)\/(162\/(-24))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -38a + -434?\nAnswer: -802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**3 + 6*l**2 - 9*l - 13. Let g be f(-7). Which is bigger: 2\/21 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -21\/3606340 and -71\/3966974.\nAnswer: 39669740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 21 = 15. Put h, -2\/3, 4\/11 in descending order.\nAnswer: h, 4\/11, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 36*y**3 + 1078*y**2 - 125*y - 1923. What is b(-30)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i\/((i\/(i*i**(-8)))\/i*i*i))\/(i*i\/(i*i**(1\/6))*i) assuming i is positive.\nAnswer: i**(-53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -4*s + 2, s + 17 - 13 = 0. What is the least common multiple of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from vivyisvvysvsi.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001564283 to 7 decimal places.\nAnswer: -0.0001564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 168\/(-42) - (-8 + 20*(-7 + 5)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -51*y**3 + 6*y**2 - 8*y + 106. Let q(u) = 17*u**3 - 2*u**2 + 3*u - 35. Let r(v) = -8*q(v) - 3*t(v). Differentiate r(j) wrt j.\nAnswer: 51*j**2 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2471092.65us to days.\nAnswer: 0.000028600609375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 0*r**3 - 11*r**4 + 0*r**3 + 2*r**4 + 5 with respect to r.\nAnswer: -36*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m + 5*n + 1, -21 = -5*m + 4*n - n. What is the units digit of (2 + -2)\/m + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.2  (b) -0.2  (c) 0.05  (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange o**3 - o**4 + o**2 - 1036 + 1034 - 3*o - 4*o**2 - o**3 to the form s + l*o + r*o**4 + f*o**2 + x*o**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-16)\/4)\/20)\/((-869)\/(-110)).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - 24?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 282066 and 183.\nAnswer: 17206026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*s**2 - 213*s - 414.\nAnswer: -3*(s + 2)*(s + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/11 - (-132257)\/27852. Let s = 7\/422 + i. Find the common denominator of -11\/6 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11178 by 6.\nAnswer: 1863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -3*s**4 + 102*s**3 - 888*s**2 + 1482*s - 693 = 0.\nAnswer: 1, 11, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*o - 4*o + 6, -5*o - 7 = 3*p. Solve -p = 3*x + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 6 - m - 6 + 1 + 6. Let w be s(5). Suppose 64 = w*d + y, -d - 4*d + y = -146. 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 prob of picking 1 g and 1 n when two letters picked without replacement from gvnggvggggvnvvnvg?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 divided by -5?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, j: 1, v: 4, o: 3}. What is prob of sequence vwjw?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Total of -127.228 and 17.\nAnswer: -110.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 3*d = -2*d - 10, -d + 7 = 4*v. Suppose -4*f + 16 = -2*h, -3*h - 1 = -2*f + v. Solve 2*r + 6 = -h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 54 - 51. Suppose 147 = 4*y + 4*f - 93, -174 = -j*y + 3*f. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 20a8 (base 16) to base 5\nAnswer: 231420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3767716 (base 10) to base 11\nAnswer: -2143817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10483261, -10483255, -10483263, -10483291, -10483345?\nAnswer: -10483431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.94 + -0.06. Let l = t + 3.5. Let j = 24 + -27. Which is the second smallest value?  (a) j  (b) l  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 756366071?\nAnswer: 2351, 321721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - 2*f = -7, 4*f = 3101*v - 3095*v + 38 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -60610 (base 8) in base 15?\nAnswer: -75e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t - t + 10 = 14, 2*t - 5*t - 16 + 159 = 4*l for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the second derivative of x**6\/45 + x**5\/10 + x**4\/9 + 3*x. Determine j so that g(j) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -2\/5, 17071919, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r + 3*y = -23, r = -3*y - 6 - 13 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 12175216*w - 109576951. Determine f(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the third derivative of -b**5\/60 - 20*b**4\/3 - 3200*b**3\/3 - 5*b**2 + 18*b. Let c(m) = 0. What is m?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7713 a factor of 1953570154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -820 greater than or equal to -826?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-30)\/25)\/(1\/5). Is (r\/3)\/(-1) - -807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llxlltltossoils. What is prob of picking 1 x and 2 o?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 61\/10 + -28\/5. What is the smallest value in 5\/3, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from {c: 18, b: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4928 and 68299.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000993 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 5*x**3 - 105*x**2 - 5*x - 20. Let i(r) = 7*r**3 - 104*r**2 - 6*r - 24. Let q(w) = -6*c(w) + 5*i(w). Factor q(j).\nAnswer: 5*j**2*(j + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the third derivative of d**4\/8 - 11*d**3\/6 + 9*d**2. Let u be v(5). What is the first derivative of 36*a**3 - 10*a**u - 12 - 36*a**3 wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.630845 minutes to days.\nAnswer: 0.00113253125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 3*l**2 + 21*l - 4. Calculate t(-5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -75*m**2 - 1123*m + 38. Calculate w(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6110803 to the nearest integer?\nAnswer: 2472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(1539) - sqrt(1539)*-2*2))**2*-4 + -2*((-4*sqrt(228)*-1)\/(sqrt(12) + (-1*sqrt(120) + sqrt(120) + sqrt(120))\/sqrt(10)))**2.\nAnswer: -1385252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 8) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.082867 times 0.04?\nAnswer: 0.00331468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -84.28 + -3.72. What is the second biggest value in m, -4, -1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 42 = -4*v. Let x(l) = 3*l - 1. Let d be x(3). Let f = v + d. Which is the second biggest value?  (a) f  (b) -0.3  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2\/7, -22, 1\/17 in descending order.\nAnswer: 2\/7, 1\/17, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.910683ms to nanoseconds.\nAnswer: 910683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 0*x - 2*x**2 - 2*x**2 - x**2 - 2 - 3*x. Suppose -3*p = -0 + 6. Let r be -3 - 0*p\/6. Let t(s) = -9*s**2 - 5*s - 3. Determine r*t(n) + 5*a(n).\nAnswer: 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 2*q**3 - 8*q**2 + 31*q - 18. Suppose 4*x + 5*r = 77, 0 = -4*x + 5*r + 9 + 18. Is t(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -192.571 - -2.9.\nAnswer: -189.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 32 = -132. Let i = 21 + q. What is the greatest common factor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 139, 13108, 1, -3, 5 in descending order.\nAnswer: 13108, 139, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 - 3.69. Let q = b + 0.09. Put -2, q, 5 in increasing order.\nAnswer: -2, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72*z + 135*z + 2*z**3 - 63*z + 26 - 8.\nAnswer: 2*z**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1988\/107 or 19?\nAnswer: 1988\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 24\/(-28)*(-28)\/(-18)*-15. Is ((-95)\/j + 4)*10*-2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 171 - 266. Suppose -q - 15 = 14*q. Sort 4, g, 1, q in descending order.\nAnswer: 4, 1, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1016 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 6\/159*(17220\/(-40))\/21 and (-14)\/(-4)*(-80)\/(-12)?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5208, -44472, -151092, -358746, -701112, -1211868, -1924692, -2873262?\nAnswer: -4091256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 5*a - 44 = 32, 3*q - 228 = 4*a. Suppose -15*w = 4*w - q. Suppose -w*j = -j + 1356000. What is j rounded to the nearest ten thousand?\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0007257478 to 6 dps.\nAnswer: -0.000726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1688314 to the power of 1\/2, to the nearest integer?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Do 768 and 768 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -86, -115, -156, -203, -250?\n\"Answer: x**3 - 12*x**2 - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -133*c - 3696. Let a be g(-28). Solve 56*v - a = 140 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8.107 + -0.107. Let z = 16\/3 - 5. Put r, z, 0.4 in decreasing order.\nAnswer: r, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -302341943.0000613 - -302343015. Let k = y - 1072. What is k rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 3 c when four letters picked without replacement from {c: 9, s: 10}?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (3*sqrt(567) - sqrt(70)\/sqrt(810))**2.\nAnswer: 409705\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12*q**2 + 0*q**4 + 569*q**3 + 4*q - 542*q**3 + 6*q**4 - 47*q**2 + 8*q**2 wrt q.\nAnswer: 144*q + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - y = 20, 0 = 2*k - 4*y - 36. What is the remainder when 37 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1187 - 1185.439. Let z = -0.0492 + -0.1798. Let g = k - z. Round g to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 39 + -19. Let a = 49 + 51. Suppose -4*w = -6*w + a. What is the greatest common divisor of w and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/(1\/(-1)))\/(1 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2954.2*54\nAnswer: 159526.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 335171 to the power of 1\/2, to the nearest integer?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -84*f. Let d(t) be the first derivative of 26 + 0*t + 0*t**2 - 2\/3*t**3. What is z(d(q))?\nAnswer: 168*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2 - (-1*28)\/(-2). Let q(n) = 11 - 22*n**2 - n**3 - 21 + 8*n**2 + 30*n. Let b be q(r). What is the highest common divisor of 242 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (16\/20)\/(56\/420)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3\/2  (b) 2\/23  (c) -0.03  (d) -3\/4  (e) -89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 230791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -17*s**2. Let g(y) be the second derivative of 65*y**4\/3 - y**2\/2 + 22*y + 5. Give v(g(x)).\nAnswer: -1149200*x**4 + 8840*x**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -123*p + 66*p - 4*p**2 + 3*p**3 + 57*p.\nAnswer: 3*p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**3 - 16*m**2 - 15*m + 6. Let u be c(-15). What is the units digit of 45770\/100 + u\/20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes before 4:59 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 221, 2\/17, -6, 2 in decreasing order.\nAnswer: 221, 2, 2\/17, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 - 3. Let i(d) = -23*d**3 - 10*d**3 + 3 - 3*d**2 + 37*d**3 + 5*d - 3*d. Is i(m) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 2) + -1 + 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9 and 3609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from yjnjtmjjm?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * -1.6713.\nAnswer: 0.50139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 879 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -16 + 26. What is the tens digit of 13 + h - 0\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 4) + -1 - -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -48*0.09\nAnswer: -4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 101, 201, 303, 407, 513, 621, 731?\nAnswer: 843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 8525*r**2 + 4428*r + 110. Let b(q) = 42624*q**2 + 22139*q + 605. Let f(w) = -2*b(w) + 11*g(w). Find the second derivative of f(z) wrt z.\nAnswer: 17054","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4*h*k*u**2 - 4*h*u**3 - 2*h*u**2 - 3*h - 3*k - 1 wrt u.\nAnswer: -8*h*k*u - 12*h*u**2 - 4*h*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes after 1:50 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**2 + 128\/9 + 32\/3*l.\nAnswer: 2*(3*l + 8)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 36\/18791 and -5\/33.\nAnswer: 620103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.10387302 to 3 decimal places.\nAnswer: 0.104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 25558 + -25554. Let c(z) be the first derivative of 0*z**q + 0*z**2 + 0*z**3 - 12*z - 36\/5*z**5 - 33. What is the derivative of c(i) wrt i?\nAnswer: -144*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -44*v**2 + 9*v**2 + 11*v**2 + 14*v**2. Let i(k) = -3*k. Determine i(w(s)).\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -59.1 + 64.1. What is the second biggest value in 1\/24, 2\/41, h, -0.2?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zlyypzzzzypzl. Give prob of sequence py.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 - 3*x**2 + 2*x - 3. Let s be b(3). Suppose s*d = d + 4*t - 12, 4*d = 3*t - 29. Let z be (9\/102)\/(4\/d). Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 4*o - 398 = 0, 4*g = 2*o + 926 - 154. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 41621?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.008345169 to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6846 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (18 - (25 + 21 + -15)) + (-76 - 1)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -4017814*w**2. Let p(l) = -5*l. Calculate p(s(a)).\nAnswer: 20089070*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**38\/t**(2\/19) assuming t is positive.\nAnswer: t**(720\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10966378?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.3615668 months in millennia?\nAnswer: 0.0001134639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1967597876?\nAnswer: 2, 103, 4775723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a millimeter in micrometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 81  (b) -3  (c) -55  (d) -0.1  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1072110 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.9 + 0.8. Let y = 0.34 + 0.06. Which is the closest to f?  (a) -4  (b) y  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(133)*-2 - sqrt(133))*1 + -5*sqrt(133)*1)\/(-2*(sqrt(567)*-1 + sqrt(7))).\nAnswer: -4 - sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -a + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 188 + 0.18824269688.\nAnswer: 188.18824269688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 2 - (-5 - (9 + 42\/(-2))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -670 = -2*n - a + 522, 4*a - 16 = 0. Is n a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003803 rounded to five decimal places?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36 + 35*f + 40 - 76.\nAnswer: 35*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n**4 + 1642*n**3 - 14836*n**2 + 37958*n - 24765 = 0. Calculate n.\nAnswer: -1651, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -8, -147\/23, 7, 32\/23?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.2, 3, 3\/7, 74\/11?\nAnswer: 74\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(9)\/((-2*sqrt(30))\/sqrt(10)))**2*-6 - (-2*-3*(sqrt(3) + 0) - (1*(sqrt(363) + 2*sqrt(363)) - sqrt(363))**2).\nAnswer: -6*sqrt(3) + 1470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 752379629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -222322212312 (base 4) to base 13.\nAnswer: -243b886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -411193158 by -376206.\nAnswer: 1093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5 - -2) + 1 - -2*3. Suppose i*t - 47 = -15. Let m(s) = 6*s**2 + 2*s - 14. Let v(b) = -2*b**2 - b + 5. Calculate t*v(l) + 3*m(l).\nAnswer: 2*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 167086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 6466 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2120036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -98 (base 11) to base 7.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**3 + 8*j**2 - 15*j - 33. Let s be t(-9). Calculate the highest common factor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5, -4, -19, -40, -67, -100?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -41482944.5 * 0.3\nAnswer: -12444883.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 167*f**3 + 87*f**2*g**3 - 5*g**3 - 2*g - 6692 wrt f?\nAnswer: 501*f**2 + 174*f*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11557357?\nAnswer: 7, 37, 44623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**3 - 9*q**2 + 5*q - 11. Let g(i) = 5*i**3 + 35*i**2 - 21*i + 43. Let b(u) = 9*d(u) + 2*g(u). What is the tens digit of b(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 834717.\nAnswer: 3, 13, 17, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 155672\/27 - 5765. Let b = s + -616\/1107. Let t = b + -68\/369. Is 0 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 25164 times -0.01\nAnswer: -251.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 731920 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (11 - 11 + 8*w)*(-25*w**3 - 29*w**3 - 39*w**3) to the form o*w**3 + l*w + a*w**4 + u*w**2 + b and give a.\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 185 - 177. Let x(q) = -19*q**2. Let i(m) = -57*m**2. What is j*x(f) - 3*i(f)?\nAnswer: 19*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 22 - -18. Suppose -18*z + 14 = -l. Calculate the smallest common multiple of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*q + 74*q - 23*q - 19*q - 10*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -316, -598, -830, -988, -1048, -986?\nAnswer: -778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*h + 2*h**3 + 4*h**3 - 3*h**3 - 2*h**3 to z*h**3 + m*h**2 + o + d*h and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7647 is divided by 959?\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 776 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add together 4 and 2079504.8.\nAnswer: 2079508.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04968 rounded to three dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 - 11*l + 6*l - 3 + 1 as t*l + r and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 346 = -60*z + 106. Which is the third smallest value?  (a) 2\/11  (b) z  (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the second derivative of n**3\/3 - 45*n + 2. Let l(s) = -2 + 10*s + 2. Give l(y(h)).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2 + 3. Let s be o(-5). Let b = 186 + -158. What is the greatest common factor of b and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -15 - -11. Let b(a) be the first derivative of -a**2\/2 - a + 75. Calculate b(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*v - 4*x, -2*v - 3*x = -6*v + 17. Suppose y + 2*y + 5*n = -3, 4 = -v*y - 4*n. Solve 2*f - 19 = -5*m, 4 = -y*f + 5*m - 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2008 times 2013.54\nAnswer: 4043188.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*j*m**3*v**3 - 943*j*m**3*v - 508*j*m**2*v - 2*j*m**2 + 4*j*v**3 wrt m.\nAnswer: -12*j*v**3 - 5658*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2212 (base 4) in base 8?\nAnswer: -246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + q + 4 = 0. Suppose -q*b - 15 = b. Let c = b + 7. Solve 0 = c*t - 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1793441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18 and 5482.\nAnswer: 49338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -2*r + 4*l + 8, 5*r - 55 = -2*l. Suppose -r*x + 8*x = -4. Let g(v) = 2*v**3 + 5*v**2 + 2 + 4 - 4*v - 3*v**3 + 0*v**2. Give g(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 3, d: 1, o: 1, j: 5, k: 1, x: 1}. What is prob of picking 1 x and 1 y?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1943 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**3 + 4*o + 1. Determine n(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -94 + -6 + -427 + 503.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 98049000 to the nearest one hundred thousand.\nAnswer: 98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w + 4*w = 3*k - 51 + 54, 0 = 3*w - w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 59 - 48. Let d = m + -10.999995. Let a = d + 0. Round a to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, -0.4, 5, -1, 0.3, -17.5.\nAnswer: -17.5, -1, -0.4, 1\/6, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4077494 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a centimeter in micrometers?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sezdede. Give prob of sequence ded.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*j - 7 - 33. Solve -7*n - j = -b - 3*n, 5*n + 25 = -5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j**4 + 2*j**4 + 0*j**4)*(-4*j + 28*j + 14*j + (1 - 1 - 2*j)*(-4 + 2 + 4)).\nAnswer: 34*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1622.1 and -152095?\nAnswer: 153717.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -2*q + 19. What is f(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*v - 58*v = -10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 38113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q - 240 = 3*q. Let g = q + -72. Suppose 7*m = -m - g. What is the closest to 1 in 0.5, -5, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.21372 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6400009 is divided by 2974?\nAnswer: 2935","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the third derivative of -h**5\/60 + 11*h**4\/24 - h**3\/6 + h**2. Suppose -2 = 5*l - 42. Is d(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*-4*((0 + sqrt(2736) - sqrt(2736))*-4*-5 + 5 + sqrt(2736)*2*-1 + -3).\nAnswer: -288*sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {d: 3, t: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = -5*r - 20, 320608*g = -r + 320609*g - 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 2*t + 2386, 5*t + 14 + 1 = 0. Round u to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-12)\/54 - (-68)\/(-18). Let m be 2\/r*-3*4. Let v be (m\/(-4))\/((-27)\/36). Solve 0 = f + 3 + v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - 5 - -14 - 24.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the third derivative of 11*m**7\/210 - 7*m**6\/60 - 89*m**3\/3 + 1067*m**2. What is the first derivative of k(y) wrt y?\nAnswer: 44*y**3 - 42*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14276\/(-11620) - (12\/(-18) - (-48)\/(-63)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes before 4:15 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/96 of a week in minutes?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 1 + 0 + 8*o - 2.\nAnswer: 8*o - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -g + 10*g**2 - 8*g**2 - g + 15*g**2 + 37 + 7*g**2 wrt g?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(336) + (sqrt(336)*-2 - sqrt(336)))\/sqrt(8))\/sqrt(864).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1073 + 1578. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 445577079 to the power of 1\/3, to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -107 + 320\/3. Let o = -74 + 77. What is the nearest to 2\/11 in 5, o, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -34*i - 1990. Give x(-62).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 29015256?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -2*o + 21. Calculate i(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7.63 - 7.625985. What is s rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the second derivative of -1\/6*b**6 + 0 - b**3 + 0*b**4 + 0*b**5 + 0*b**2 - 5*b. Find the second derivative of o(w) wrt w.\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*q - 32 - 16 = 0. Put -3, -1, q, 0 in decreasing order.\nAnswer: 0, -1, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 3*n**5\/2 - 6*n**4 - 12*n**3 + 15*n**2 + 69*n\/2 + 15 = 0.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {r: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 4, -2, 14, 2, 5 in decreasing order.\nAnswer: 14, 5, 4, 2, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -7*n - 60. Let s be h(-10). Let u = -37 + 55. Calculate the remainder when (-652)\/(-10) + 8\/s is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7.353 - -11.974. What is k rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 965 a factor of 19007652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 2*p**2 - 2*p + 2. Determine s(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 37*p**3 + 245 - 3*p**3 + 79*p**3 wrt p.\nAnswer: 339*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 491 divided by -1.\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 63\/(-3444)*(-8)\/24*12?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**2 + 2*b - 5. Suppose -r - 4 = h, 5*h = 5*r + 7 + 33. Let a be ((-14)\/(-49))\/(r\/(-168)). Give m(a).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 + -5. Suppose -3*d - 65 = -4*y, d + 4*y = -6 - 5. Let r = 19 + d. Solve 5*v - f*v - 12 = r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.07231463352 to 5 dps.\nAnswer: 0.07231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z + z - 48. Suppose -j + 6*j - 15 = 0. Solve w = -j*w + z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 308 and 36?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 615367499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 187?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8 + 323. Suppose -b + d = -94. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w = 4 + 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-15411 + 15411 + 89*s)*(-28*s - 11*s + 14*s) as o + k*s**2 + f*s and give k.\nAnswer: -2225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -65*n + 315. Calculate x(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 12 = -0. Suppose 0 = t - c*t + 10. Let r(b) = -4*b**3 - t + 2*b**2 + 4 + 0*b**3. Determine r(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 98 by -2.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 4)*(-59)\/590.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-30)\/4)\/(-5))\/(1\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2359042 is divided by 108?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*k - u = 39*k + 2215, u = 5*k - 11055. What are the prime factors of k?\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, 5, 10, -86?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-2)\/(-4))\/(2\/116). Let x(c) = c**2 - c - 30. Let b be x(6). Suppose b = -4*o + p + 117, 5*p - 106 = -4*o + r. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 0 + 478*g**2 - 5 - 568*g**2.\nAnswer: -90*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3263 and 12.3?\nAnswer: 40134.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -3*r + 2*i, 0 = 69*r - 67*r + 3*i + 35 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -l + t + 4*t + 30, 3*l - 2*t - 25 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 290825153?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * -0.281.\nAnswer: 0.0562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.010799 to four dps.\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -32, 19, 7, -5, -17, 0 in ascending order.\nAnswer: -32, -17, -5, 0, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -2308*n + 2318*n. Which is the nearest to -1\/4?  (a) -12\/11  (b) n  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-1))**35*(d\/(d*d*d*d*d\/(d\/(d*(d*d\/d**(4\/5))\/d)*d*d)))\/d*(((d**5\/d)\/d)\/d)\/d)\/((d\/(d*d*d**(-1)))**29*d**(-2\/9)*d**(-4)) assuming d is positive.\nAnswer: d**(-1484\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-31)\/(-7) - 123\/287?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -3*t**3 + 5*t**2 - 3*t + 6. Let v be k(6). What is v rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -z**3 + 407*z**2 - 41615*z + 41209 = 0.\nAnswer: 1, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 454 in -1\/4, -1.3, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -320 divided by 71051?\nAnswer: -320\/71051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 - -1)*1 + 2. Suppose -251 = -z*c + 593. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 4*r**3 - 7*r**2 + 6*r - 8. Let a(m) = 5*m**3 - 8*m**2 + 7*m - 9. Let b = -31 + 24. Give b*i(n) + 6*a(n).\nAnswer: 2*n**3 + n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -5 - (166\/(-15))\/2. Let j(y) = y**2 - 15 - 10 - 3*y + 1 - 3. Let w be j(7). Does n = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/12*-5*4. Suppose -x - 14*i = -13*i - 2, 16 = 8*x - i. Sort 68, 3, g, x.\nAnswer: g, x, 3, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 - -2. Suppose -y = 3*k - 129, -z*k = -4*k + 3. List the prime factors of y.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 3 + 0)*(3*j**2 - 2*j**2 + 0*j**2)*(5*j**2 + j**2 - 2*j**2) + (2*j**2 + 6*j**2 - 3*j**2)*(-3*j**2 + j**2 + 0*j**2).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:36 AM and 10:42 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/2 + (-13)\/(-2). Suppose 3*t - 5 + 4 = 4*v, -2*v = -t - 1. List the prime factors of (-14)\/(14\/d - t).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.2 - -0.1. Let x = 7.9 - 7. Let a = x - 0.7. What is the closest to c in 0.1, -1\/5, a?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/26)\/((-19026)\/13741).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes before 3:56 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11256.8 - 11257. Let q = 2.2 - 2. Let y = 0.037 - -0.063. Sort y, j, q.\nAnswer: j, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4\/5  (b) 5  (c) 4  (d) -25\/6  (e) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the first derivative of -o**4\/4 - 2*o**3 - 3*o + 12. Let j(r) be the first derivative of c(r). Factor j(l).\nAnswer: -3*l*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 650 and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.4 - -1.2. What is the third smallest value in 2, -2\/13, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 - (0 - 11 - -11) - -10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.21 and 5509293.\nAnswer: 5509293.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**2 + y**3 - 30*y + 31*y - 2*y**2. Let t(r) = -4*r**3 - 5*r**2 + 9*r + 3. Let v(o) = -3*d(o) - t(o). What are the prime factors of v(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -22 + 13. Let g = l + 13. What is the third derivative of -d**g + 2*d**5 + d**4 + 2*d**5 + 11*d**2 wrt d?\nAnswer: 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -31*d - 607 + 638 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = -3*b, -3*b + 29 = 6*f - 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -54*u - 3. Let b(m) = 5*m. What is t(b(v))?\nAnswer: -270*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.8093 + 0.8. What is l rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -74 - 495?\nAnswer: -519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.79 and 212?\nAnswer: -167.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 60*p - 1302. Give r(22).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kalk when four letters picked without replacement from kwawwwwkklkwwa.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 + 89\/(-3))*(228\/(-84) + 1).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*u + 70*u = 3*t - 24, 2*u = -2*t - 4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3189892 is divided by 1372?\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -2177, -2707, -3245, -3791, -4345, -4907, -5477?\n\"Answer: -4*t**2 - 518*t - 1655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 88674, 88668, 88648, 88608, 88542, 88444, 88308, 88128?\n\"Answer: -q**3 - q**2 + 4*q + 88672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1845 - -1859. Let z(s) = -s**3 - s + 28. Let b be z(0). Does 13 divide 4\/t - (-1812)\/b*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 94 = -2*x, -g + 4*x + 3 + 7 = 0. Suppose 5*q = -4*u + 72, q + 97 = 5*u - g. Is 23 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 158 - 147.9. Let r = 12.1 - h. Which is the closest to 0?  (a) 3  (b) r  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 14*a**3 - 50*a**3 - a**2 - 41*a**3 in the form q*a**2 + p*a**3 + l*a + y and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -15*l**2 - 7*l. Let c(p) = 5*p**2 + 2*p. Determine -14*c(o) - 4*d(o).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -5*j**3 + 3*j - 3*j - 1. Suppose -8 + 18 = 10*m. Calculate t(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 14*j - 168. Determine i(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the first derivative of -x**8\/80 - 2*x**7\/35 - 11*x**6\/120 - x**5\/20 + x**3 + 2. Let t(n) be the third derivative of z(n). Factor t(r).\nAnswer: -3*r*(r + 1)**2*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 49 + 2 = 5*x + 4*m - 14, -4*m = 0 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6856 + 6856 + 144*o)*(-2*o**3 + 2*o**3 + 3*o**3) + (4*o**3 + 0*o**3 - 5*o**3)*(-5 + 17 - o - o).\nAnswer: 434*o**4 - 12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the second derivative of -v**4\/12 + 5*v**2 + 70*v. Calculate y(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 104303 is divided by 2819.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*x**3 + 4*x**3 - 2*x**3)*(6*x + 30*x + 10*x - x - 47*x - 15478) to k*x**4 + w*x**2 + o*x + d*x**3 + g and give d.\nAnswer: 30956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**3 + 2*n**2 - 2*n + 35. Let d be i(0). Suppose -24*p + 29*p = -d. What is the closest to 1\/2 in 5\/4, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18571 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*t + 4*t + 0*t + (-1 + 1 - 1)*(3*t + 3*t - 4*t) - 6*t + 2 - 2)*(628*t**3 - 191840 + 191840) as z*t**4 + l*t**3 + c*t**2 + q*t + n and give z.\nAnswer: -5652","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*s + 8316 = -29*s. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1065502.\nAnswer: 2, 532751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 4, 2\/5, 6\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-2)\/(-7) - ((-8390)\/35 - -2) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j - 8. Let m be t(-10). Suppose 0 = b + v - m*v - 2, 0 = -5*b - 5*v + 10. Suppose b*z + 227 = 813. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*j**2 + 178*j - 83*j - 95*j - j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * -23674077.\nAnswer: -71022231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (3 + 2 + sqrt(475))**2.\nAnswer: 50*sqrt(19) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.93724 - 1.902. What is y rounded to three decimal places?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-1\/2)\/j)\/j**(1\/4)*j**(-7)*j*(j*j*j*j**(-2))\/j*j*((j*j**(-10\/7)*j)\/j**5)**(14\/9) assuming j is positive.\nAnswer: j**(-491\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes after 1:38 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 12 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/32 and 13\/8744?\nAnswer: 34976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 3*f - 39, -2*f + 3*x + 18 = -21. Suppose 4*r = -r - 5. Let q = r + f. What is the smallest common multiple of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00135639546 to 6 dps.\nAnswer: 0.001356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 2 d when four letters picked without replacement from {x: 10, u: 6, d: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 12474819 = 12*w + 56*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -22 - -34. Suppose -y - y = a. Let f be (1*(-8)\/y)\/(-2). Sort f, -2, 1 in increasing order.\nAnswer: -2, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3958\/27 or 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 - -9. Suppose c + 38 = b*c. Let q = c - 27. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*t**3*x**3*y - 688*t**3*x**2*y - 5*t*y**2 - 49*x**3*y**2 + 7*x**3*y + x**2 wrt x?\nAnswer: -36*t**3*y - 294*y**2 + 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -225032335 - 6?\nAnswer: -225032343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/18 - 374\/(-18). Let j be (h\/(-6))\/((-3)\/6). Let u = -3 + j. Solve 5*g = u + 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 8069844 and -0.5?\nAnswer: -4034922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -300 + 98 + 103 + 99 - 6*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 17*q**2. Let j(p) be the first derivative of 26 + 5*p**2 - 7*p**2 + 3*p**2. Give x(j(f)).\nAnswer: 68*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -4*l. Let b(c) = 3506*c**2 - 2. Calculate g(b(u)).\nAnswer: -14024*u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1619894.\nAnswer: 2, 163, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 448056426?\nAnswer: 2, 3, 2383, 31337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve x = 2*j + 3, 4*j - 5*x + 6*x + 21 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -25 + 17 + (-452)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = -1, b + 3*a = 46 - 38 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7\/103412 or -2\/165?\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((-1305)\/(-24795))\/((-1)\/(-57))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1d7da (base 16) to base 4.\nAnswer: 131133122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lvalaaa. What is prob of sequence ll?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*j + 350 = 11*j - 196 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -2884*y**3 - y**2 - 3*y. List the prime factors of b(-1).\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in 2\/7, 8, -8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12635 = -111*p - 128*p - 924. Calculate the highest common divisor of 18963 and p.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12160 is divided by 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the third derivative of -1\/30*d**5 + 1\/60*d**6 + 18*d**2 + 0 + 1\/8*d**4 - 1\/3*d**3 + 0*d. Does 7 divide z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 9*x**2 - x + 1. Let w be q(1). Let i(c) = 2 + 0*c + 5*c - 4*c. What are the prime factors of i(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 754663*i**3 - 15598731*i**2?\nAnswer: 4527978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 35 and 5677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 11*(-2 + -2)*(-3)\/12. Solve r = -y + 13 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -40979444 by -4.\nAnswer: 10244861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 2\/49, -0.4, -1, 0.41?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/2113633 and -77\/12424?\nAnswer: 16909064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 0 + sqrt(2448) + (1 + -1*sqrt(2448))**2 - (4 + (sqrt(2448) - (sqrt(2448) + -1)) + -4)) + -3 + 5 + -3.\nAnswer: -12*sqrt(17) + 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*w = -26*w + 20. Solve -8*q = -12*q - w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.79894552 rounded to 1 decimal place?\nAnswer: 18.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1078 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 321 + -2251\/7. Let h = -5 - -5.3. Let s = -0.05 + 4.05. Sort s, h, z in descending order.\nAnswer: s, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.42 - -1.5. Let c = t + -0.28. What is the closest to 0.1 in -1\/6, -1, c?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0334078 + 0.10575.\nAnswer: 0.0723422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -3\/2*g**2 - 3\/2 + 3*g = 0. What is g?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.06, -161, 2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 285*n - 2*f - 30 = 289*n, -n + f - 15 = 0 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 2*k**2. Let w(u) = -u**2 + u - 7598. What is w(i(j))?\nAnswer: -4*j**4 + 2*j**2 - 7598","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 42 - 28. Let w = t - 13.5. Which is the biggest value?  (a) w  (b) -5  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 129*v + 127*v + 135 = 271*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*o - 7*o + n - 24 = -25*o, -4*o + 80 = 10*n for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 47 - -2030?\nAnswer: 2077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2895129170 - 5.13.\nAnswer: -2895129175.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5569086 + 1367729 = 38*i - 2835759. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (220\/385)\/((-60)\/14).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -61418*c - 368514. Determine z(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*-268.\nAnswer: -53.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.031 - 0.251. Let t = -9.22 - s. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -177  (b) 3  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 8, -1\/277, -2, 0.3, -4\/3, 18\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -9 + (11 + 2 - (49 + -69))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 divided by 179?\nAnswer: 69\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -k - 3*z + 58, 5*z = 25. Let v = k + 11. What is the remainder when v is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -422 + 427. Sort n, -0.1, -2, -4 in descending order.\nAnswer: n, -0.1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 133563481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 194, 193, 182, 155, 106, 29?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -2*l + 2*t, -4*l = 5*t - 11 - 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {e: 6, t: 1, p: 2, c: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 4478, -29, 4, 3, 5 in descending order.\nAnswer: 4478, 5, 4, 3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02263967 to 4 decimal places.\nAnswer: -0.0226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -10*u**2 + 5. Let y(z) = -4 + 2*z**2 + 5*z**2 + 2*z**2. Let v be (-40 - -5)*6\/(-10). Suppose 0 = -v*x + 42*x + 84. Determine x*l(f) - 5*y(f).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -361, -632, -775, -796, -701, -496, -187, 220?\n\"Answer: -m**3 + 70*m**2 - 474*m + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3246 + 1479. Let u = z - -19411\/11. Calculate the common denominator of -93\/10 and u.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00295083 to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l + 4*l + 5*l. Suppose p + 3*x - 16 = 5*p, 5*p - 4*x + 19 = l. Put 5, 2, p, -3 in ascending order.\nAnswer: p, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1039543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5382 = -2*t + 28*t. Is -207 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -224\/3 in 36, -2\/5, 4\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 131101873 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes after 2:44 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14039 - 10083. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 178, 382, 584, 784, 982, 1178, 1372?\n\"Answer: -y**2 + 207*y - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1575326?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 9 = 4*z, z + 3 = -3*n - 1. Let t = z - -52. Suppose -3*f = k - t, -2*f - 2 = -0*f. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence df when two letters picked without replacement from {g: 2, d: 5, u: 2, f: 4}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 0*o - 10 = 0. Suppose -o*a = -2*a. Suppose 0 = 2*i + 5*p - 65, -p = -a*p + 5. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 224, 9, -92, -1, 4, 0, 1 in ascending order.\nAnswer: -92, -1, 0, 1, 4, 9, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.06359 or -2\/9?\nAnswer: 0.06359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 18*p + 5. Let j(d) = 12*d + 3. Give -8*j(a) + 5*q(a).\nAnswer: -6*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c + 3. Let k be o(0). Sort -10, -1, k, -5 in decreasing order.\nAnswer: k, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 37\/25007 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the third derivative of w**5\/60 - w**4\/6 + 2*w**3\/3 + w**2. Calculate the remainder when r(-6) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -6*h + g - 3, -g = 4*h - 3. Suppose h = 6*k - k - 1030. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -132, -130, -126, -120, -112?\n\"Answer: c**2 - c - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 47 = x + 25, -2*x - 11 = -3*z. Let -6\/5*v**3 + 24\/5*v + 9\/5*v**x - 3\/5*v**4 + 12\/5 = 0. What is v?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 - i + 6. Suppose 0 = -5*t + 2*t. Let k be v(t). Suppose -2*s = -r - 4, s = 2*r + 1 + 7. Solve 4*y + 5*d + 22 = s, 4*d - d + k = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -7\/6  (b) -2\/3  (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 34475541 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**3 - 4*y**2 - 6*y + 5. Let g(k) = 5*k**2 + 7*k - 6. Give 4*g(z) + 5*v(z).\nAnswer: 5*z**3 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 432 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 49888484 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (i**2 + 31*i + 9*i**2 - 8*i**2)*(-21 - i**2 + 21) to the form o*i**4 + r*i + d*i**3 + y + a*i**2 and give d.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 163  (b) -1\/3  (c) 0.2  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(1700)*-5*-4*-1.\nAnswer: -200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*x**3 - 7*x + 7*x.\nAnswer: -17*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t + 9. Let x be c(9). Suppose x = -6*g + g + 15. Suppose 2*s - 200 = -g*s. Does 20 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**2 - 27*u + 154. Determine o(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = p + 4, 1 = -3*p - 3*j - 5. Suppose -2*u + 1 + 3 = p. Put -3, 5, u in decreasing order.\nAnswer: 5, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 459 = -x - 99, -5*x + 450 = 5*c. Solve 4*z - c + 75 = 3*i, -3*z + 7 = 2*i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1209 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: Collect the terms in -37*r - 34*r + 211*r - 109*r - 7*r**3 - 31*r.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -k**2\/4 + 260223*k\/2 - 67716009729\/4 = 0.\nAnswer: 260223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 - 2*p + (-5 + 3 + 1)*(-5 + 5 + p) + 616*p - 59 + 125 - 64 - 11*p.\nAnswer: 602*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 87, 2\/11, -0.1?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1700399447 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - 1. Suppose -h + 5*q - 14 = 0, -2*h + q = -h - 2. Suppose -a + h + 11 = z. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 31816 - 31812. Solve j = -4*a - 23, 5*a - 11 = -y*j - 37 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1735946.\nAnswer: 2, 79, 10987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from {m: 1, y: 4, b: 2}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 12583*x + 8782?\nAnswer: 12583","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3636, 3691, 3746, 3801, 3856, 3911?\n\"Answer: 55*m + 3581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 3*n + 21 = 0, 0 = 5*d + 4*n + 19 - 54. Let b be -2 - 115\/(-2 - d). Suppose -4*m = -b + 1. Solve -i = -m*i - 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = 2*u - 6. Suppose u*r + 18 = 6*r. Suppose -k - 4*q = -36, r*k + 3*q = k + 95. What is the remainder when k is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -3  (b) -2879  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 46938 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the third derivative of -n**5\/60 + n**4\/3 - n**3 + 72*n**2. Give j(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 111784 * 391.\nAnswer: 43707544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4364, 5380, 6384, 7370, 8332, 9264, 10160, 11014?\nAnswer: 11820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2068 - 2068 - 38*y)*(-15*y - 8*y + 7*y) + (y - 4*y + y)*(0 + 0 - y).\nAnswer: 610*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 52\/1039785 and 53\/412?\nAnswer: 4159140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 4 - 4 + 7*f as h + m*f and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2\/9  (b) -0.1  (c) -1\/29  (d) -27  (e) -9\/2  (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the first derivative of -11*o**3\/3 + 15. Let f(d) = -4*d. Calculate a(f(s)).\nAnswer: -176*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (1*sqrt(21))\/sqrt(3).\nAnswer: -4 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -1688*j + 3. Let v(z) = -45*z - 3. What is d(v(g))?\nAnswer: 75960*g + 5067","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/2, 1\/4, 0.1, 2\/3, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 11086*z + 0 - 10943*z)*(15*z**2 + 8*z**2 + 19*z**2) in the form j*z + l + k*z**2 + x*z**3 and give x.\nAnswer: 6006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 118 greater than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -64.4 + 11502.592\nAnswer: 11438.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-2\/23)*k)\/k)**(-13\/6)*k\/(k\/k**21)*k*k\/k**(5\/4)*k assuming k is positive.\nAnswer: k**(6331\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of -546.8 and -0.1.\nAnswer: 54.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4b5b (base 16) to base 2.\nAnswer: 100101101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**3 - 5*i**2 - 12*i + 36.\nAnswer: (i - 6)*(i - 2)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-48)\/252*27\/2)\/(-11*9\/1386).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-128)\/(-16)*1\/(-2)*11*8\/88?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes after 10:06 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/17, 526, -0.2, -0.25?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8\/5*b**3 - 4\/5*b**5 + 8\/5*b**2 - 4\/5 - 4\/5*b - 4\/5*b**4.\nAnswer: -4*(b - 1)**2*(b + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 216*z. Let j(g) = 2*g**2. Give w(j(x)).\nAnswer: 432*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*y**5 + 2*y**5 + 0*y**5 + (4*y**2 - 5*y**2 + 3*y**2)*(-138 + 13*y**3 + 138) - 2*y**5 - 2*y**5 + 2*y**5 - 3*y**5 + 3*y**4 - 3*y**4.\nAnswer: 23*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 12 divided by 15625\nAnswer: 12\/15625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 + -3c?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - j - 3*t + 76 = 0, 0 = -2*t + 8. Let v = -115 - -135. Suppose 7*h = -3*h + v. What is the greatest common divisor of j and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (43\/5)\/((798\/(-35))\/(-6)*(-215)\/(-4085))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -10535464*m. Let a(c) = -6*c**2. Determine b(a(t)).\nAnswer: 63212784*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 25, -3, 4, 5, -317, 1 in increasing order.\nAnswer: -317, -3, 1, 4, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -7, -3 in ascending order.\nAnswer: -7, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 226*b - 146*b = -849*b + 78965 for b.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.395 - 124978384412.\nAnswer: -124978384411.605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 24113 + -24106. Solve -2*g = 12*o - 10*o + 2, -y = g - 5*o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -i**2*r**4 - 25*i**2 + 92892069*i*r**5 + 636183*r**2 wrt r?\nAnswer: -24*i**2*r + 5573524140*i*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -36, -321, -798, -1467, -2328?\nAnswer: -3381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 29921633?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -187 - 3*h + 190 + h**2 + 3*h**2 in the form l*h**2 + q + i*h and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -15 - 4\/(56\/1190). Is j at least -110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**4*o*o*o*o)**(2\/45)\/(o\/o**(-1))**(4\/5) assuming o is positive.\nAnswer: o**(-56\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20 + 35. Let m be 5\/r - (-14)\/(-24). What is the smallest value in 3, m, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 2*i**3 - 3*i + 1. What is q(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 12*q**2 - 2197*q + 73495. Calculate z(139).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -8 + 368565\nAnswer: 368557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-700)\/(-900))\/((-14)\/(-12)). Factor -y*z - 2\/9*z**3 + 2\/9 + 2\/3*z**2.\nAnswer: -2*(z - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**2 - 6*o + 4. Let r be f(-6). Suppose 4*q - 184 = -r. Suppose -b + 6*b = q. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 - 0.0133.\nAnswer: -0.1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*s**2 + 332*s + 8240.\nAnswer: -4*(s - 103)*(s + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 3607, -2\/7, 4, -0.02 in ascending order.\nAnswer: -2\/7, -0.02, 4, 3607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 490 and 14830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = 3*u + 105, 0*u + 4*u + 138 = -2*w. Let x be u\/(-6) + (-8)\/12. Suppose 0*q = x*q. Which is bigger: -2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -91 = -d + 2*y, 24 + 467 = 5*d + 2*y. Solve 0 = 20*u + d + 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 5 + 37 = 0. Let x(d) be the first derivative of 2*d**3\/3 - 3*d**2\/2 - d + 1. Let g be x(3). Calculate the highest common divisor of c and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(15)\/(sqrt(5)*-3*4)*-5 + 0)*3.\nAnswer: 15*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -121 at least 55.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-3 + (2*(sqrt(325) + 2) - (sqrt(325) + 0 + 2)))**2*5.\nAnswer: -3260 + 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Sum 160 and 19.5.\nAnswer: 179.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -39 - (-16 - 42 - -49)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c + 12. Let a(d) be the third derivative of d**4\/24 + d**3\/6 - 862*d**2. Calculate 2*a(b) - k(b).\nAnswer: b - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 481312000 rounded to the nearest 1000000?\nAnswer: 481000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12 + -22. Let b be x\/(-4)*16\/20. Suppose -b*m + 264 = 4*m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 67047\/21065 + -2\/1915. Find the common denominator of o and (-18 - (-620)\/44) + 15\/5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2, 5, 2\/7, -0.5, 4.2918?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 88, 87, 84, 79, 72?\n\"Answer: -h**2 + 2*h + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1650 and 531?\nAnswer: 292050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-195)\/527 + 669\/3791?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9241.776km in nanometers?\nAnswer: 9241776000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2181*f + 34*f**2 + 291*f**2 - 2 - 324*f**2 to the form y*f**2 + b + l*f and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6562 + -3422. List the prime factors of p.\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 355040430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-50))\/((-29)\/(-145))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**3 + 40*b**2 - 4*b - 40.\nAnswer: 4*(b - 1)*(b + 1)*(b + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6\/21 + (-204)\/(-21). Let q be (18\/i)\/((-3)\/(-10)). Solve -3*s + 6*s = q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/7 of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/42*6*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 161\/5 + 3\/(-15). Let m = 57 - d. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -14864, -59454, -133772, -237818, -371592, -535094?\n\"Answer: -14864*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 + 2 - -1*(2 - 3). Suppose f = -p + 9 - 5. Suppose -j + 203 = 4*c - 2*j, -5*j = p*c - 233. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v + 16 - 0. Let c(t) = -t**3 + 5*t**2 - 12. Let j be c(v). Solve 5*y - y = 4, -4*y + 4 = -j*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2800 divided by -700?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + -1 + -4 + -3 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 50259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7717 + 9206. List the prime factors of x.\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes after 7:50 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3258 + 3764. What is the remainder when f is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddqddddqqddqqddddd. Give prob of sequence dqq.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*g**2 + 189*g**4 - 574*g**4 - 313*g**4 - 827*g**2 + 150*g**2 wrt g.\nAnswer: -16752*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.5 - 0.488. Round i to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*c**3\/4 - 909*c**2\/4 + 14022*c + 504300 = 0. What is c?\nAnswer: -25, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -835\/42 - -121\/6. What is the fourth biggest value in c, -1, 1\/3, 0.046?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*r + 8*r = 486. Let x = 715 + -428. Suppose 3*f - x = -53. Calculate the remainder when f is divided by r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uruoouoourr. Give prob of picking 1 o and 3 u.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13440 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33, -63, -115, -189, -285, -403, -543?\nAnswer: -705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:16 PM and 9:07 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.48 and -2?\nAnswer: 2.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 26 (base 16) to base 6\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 149792984587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1\/8*t**2 - 1\/8*t + 1\/8*t**3 + 1\/8 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**2 + 7*v + 7. Give l(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -38, -70, -80, -56, 14, 142, 340?\n\"Answer: 2*i**3 - i**2 - 43*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 2 j when four letters picked without replacement from {k: 4, l: 7, j: 5, x: 2, w: 2}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, n: 14}. Give prob of picking 2 n.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05107871645254 take away -8?\nAnswer: 7.94892128354746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 5*u - 1140, 0*s - 468 = -2*u - 2*s. List the prime factors of u.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 (base 5) in base 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 5. Let f(c) be the first derivative of 3*c**2\/2 + c - 8. Let p(a) = -4*a - 2. What is u*p(w) + 3*f(w)?\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + j + 4*v + 7354 = 0, -3*v = -15. Is (-3)\/(-6)*(j - -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:40 PM and 12:34 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -11*v**3 + 41*v**2 - 8*v + 5. Let o(w) = 5*w**3 - 20*w**2 + 4*w - 3. Let f(b) = 6*m(b) + 13*o(b). Let c be f(-15). Let z = c + 241. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 93 a factor of 360352029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -77, -151, -245, -353, -469?\nAnswer: -587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of a**2*o**2 - 27249*a*o**2 + 124646*o**2 - 2*o wrt a?\nAnswer: 2*a*o**2 - 27249*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/25, 1\/3, 45, 1\/5, -1\/2 in increasing order.\nAnswer: -1\/2, -1\/25, 1\/5, 1\/3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 2*p**2. Let j(q) = 6*q. Suppose -8*k + l = -4*k + 8, -3*l = 2*k - 10. Let f(h) = -h. Let u(y) = k*j(y) - 5*f(y). Determine u(t(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 2*j - 1 = 0. Let y(s) = -3*s**2 + 0*s**2 - 2*s + 0*s. Let i(z) = z**2 + z. Let h(t) = 7*i(t) + 4*y(t). Calculate h(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13790.999949749 - -13791. What is d rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) -5  (b) 2  (c) -2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(432) + 4 + sqrt(432) + sqrt(432)*-1 - sqrt(432)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*b**2 - 13*b**2 + 432*b**3 - 865*b**3 + 24*b**2 + 438*b**3.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1668, 3305, 4928, 6543, 8156, 9773, 11400?\nAnswer: 13043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.083 and 0.1.\nAnswer: 0.0083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 49.473 * -1.\nAnswer: -49.473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1 - (-1 + 230)) + -1. Let z(w) = -w**3 + 12*w**2 - 5*w + 20. Let u be z(12). Let j = u - v. What is the greatest common divisor of 21 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -950, -19, -4, -2, -5 in descending order.\nAnswer: -1, -2, -4, -5, -19, -950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 4*p**2 - 27*p + 14. Let c(z) = -z**2 + 7*z - 3. Let j(y) = -9*c(y) - 2*f(y). Determine j(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k - 39 - 76 = 4*h, h - 4311303 + 4311316 = 5*k for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g - 5*l - 43, -2*g + l = -2*l - 3. Let h be g*-2*(-1)\/(-4). Solve -h*f = -4*j + 4, -f - 20 = 4*f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 27 - -369?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1070 divided by 6.\nAnswer: 535\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13477 - -1697995\/126. Let z = x + 5\/18. Let q = -6\/35 - 52\/105. Which is the biggest value?  (a) q  (b) z  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -j*t**3 - 25*j*t**2 - 3*j*t + 1089*t**4 - 9 wrt t?\nAnswer: -6*j + 26136*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 + 3. Let z be (y\/(-3))\/((-2)\/18). Suppose -z = -6*l + 2*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.9 and -713.\nAnswer: -641.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3133029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3393901365 to the power of 1\/4, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59354.\nAnswer: 2, 59, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -99*((-8)\/16 - (-1)\/(-2)). Suppose a = q + 90. Suppose -3*p = -q*p - 91200000. What is p rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 120861 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the third derivative of v**10\/50400 + 7*v**6\/180 + v**5\/6 + 20*v**2. Let i(o) be the third derivative of a(o). Differentiate i(c) wrt c.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1957860418 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 17311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4.6 + 5. Let h = -159 + 159.5. Let g = 3.5 + -4. What is the nearest to 1 in g, h, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**5 + 56*o**4 - 482*o**3 + 860*o**2 + 3400*o + 2000.\nAnswer: -2*(o - 10)**3*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 5422 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -262, -125, 152, 635, 1390, 2483, 3980, 5947?\n\"Answer: 11*c**3 + 4*c**2 + 48*c - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:14 PM and 6:18 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 195468054.\nAnswer: 2, 3, 181, 179989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 + 7*w**2 + 2*w - 28. Let j be s(3). Suppose 2*r - 2 = 6. Suppose -2*i - 4 = -5*u, r*u = 8 - 0. Solve 0 = g + t + 7, i*t = 3*g + g + j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 71\/(-3) - (2 - (-24)\/(-9)). Which is greater: g or -25?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the second derivative of -s**7\/840 - s**4\/6 - 11*s**3\/2 - 12*s - 9. Let h(z) be the third derivative of n(z). Let d(r) = -72*r. Determine h(d(t)).\nAnswer: -15552*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**2 - 9*i + 8. Let q be y(8). Let k(h) = 0*h**2 + 5*h + q*h**2 + h**2 + 0*h**2 - 3. What is k(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + (-3 - 0) - (-12 - (11 + -16))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**3 - 11*x**2 + 10*x + 3. Let k be z(10). Suppose 4*m + 3*v + 16 - 104 = 0, 0 = k*v + 12. Solve 4*a + m = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -432*x. Let q(p) = 2*p. What is q(t(j))?\nAnswer: -864*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10040 + 15153. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 times -298706012\nAnswer: 298706012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**3 - 10*h**2 + 6. Let i be p(10). Let k be 213\/5 + (-7)\/((-105)\/i). Let n = -42 + k. Solve a - n = 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 33362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - ((1 - 16 - -2) + 7).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -174*s**4 - 1 + 332*s - 334*s + 34*s**2 - 20*s**2 - 160*s**4 to r*s**3 + u + v*s + b*s**4 + o*s**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a - a + 6. Let q(g) be the third derivative of -g**5\/60 + g**4\/12 - 48*g**2 - 6. Give q(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5\/24?  (a) 14  (b) 0.6  (c) 3  (d) -4\/11  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.0105 + 5.0105. What is the smallest value in z, 3, 0, 0.07?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the second derivative of t**5\/20 - t**4\/3 + 5*t**3\/6 - 3*t**2 + t. Let i = 0 - -4. Is l(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -10857, -10855, -10851, -10845, -10837, -10827?\n\"Answer: k**2 - k - 10857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/3, 165, -1\/25?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4235057ml in litres?\nAnswer: 0.0004235057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-26)\/(942\/(-468) + 2)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.1828769 litres?\nAnswer: 182.8769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1073*p*r**4 - 553*p*r**3 - 712*p*r - 154*p + 2*r wrt r?\nAnswer: 12876*p*r**2 - 3318*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 44049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*x**2 + 1720*x - 147920.\nAnswer: -5*(x - 172)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1211458599 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 21*d**2*t**3 + 4014131*d**2 - 55490*d*t + t**2 wrt t.\nAnswer: 63*d**2*t**2 - 55490*d + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 58252 to the power of 1\/2, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9659, 38631, 86889, 154409, 241167, 347139?\nAnswer: 472301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 - -10. Let a(w) = -w + 6. Give a(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3560192 divided by 8.\nAnswer: 445024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = 3*t - 5*z + 25, 5*t + 4*z - 20 = 0. Suppose 4*s + k - 12 = 0, 2*s - 4*s - 3*k + 6 = t. Suppose -2*i + 10 = s*i. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -42\/5 and -31\/1595.\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 65539?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(32) + sqrt(96)\/sqrt(3)).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1023, -1896, -2769, -3642?\nAnswer: -4515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 5*d**2 - 2*d - 1. Let j be c(-1). Let t be 8\/j - 4\/(-6). Suppose -5*x - 31 = -q, -t*x - x = 2*q - 62. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 216\/567*161\/(-46)*(-39)\/(-4) - -78\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-6)\/(-9))\/((-3)\/45). Suppose l + 3 - 11 = 0. Let u be l\/117 - y\/(-45). Sort -1, 5\/4, u in decreasing order.\nAnswer: 5\/4, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 + 2 - (-52)\/13. Let r = 7 - v. Let t(l) = 15*l + 36. Let o(n) = 3*n + 7. Let f(y) = 11*o(y) - 2*t(y). Let i(p) = -1. What is r*f(b) + 5*i(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}